Convex Synthesis of Accelerated Gradient Algorithms
Carsten Scherer\thanks{ Department of Mathematics
University of Stuttgart
Germany
{\tt\small carsten.scherer@imng.uni-stuttgart.de
We present a convex solution for the design of generalized accelerated gradient algorithms for strongly convex objective functions with Lipschitz continuous gradients. We utilize integral quadratic constraints and the Youla parameterization from robust control theory to formulate a solution of the algorithm design problem as a convex semi-definite program. We establish explicit formulas for the optimal convergence rates and extend the proposed synthesis solution to extremum control problems.
SchEbe21.tex
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\title{Convex Synthesis of Accelerated Gradient Algorithms}


\author{Carsten Scherer\thanks{
Department of Mathematics,
University of Stuttgart, Germany, {\tt\small carsten.scherer@imng.uni-stuttgart.de}.
Funded by Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany's Excellence Strategy - EXC 2075 - 390740016. We acknowledge the support by the Stuttgart Center for Simulation Science (SimTech).}
\and Christian Ebenbauer\thanks{
Institute for Systems Theory and Automatic Control, University of Stuttgart, Germany,
{\tt\small ce@ist.uni-stuttgart.de.}}%
}


\begin{document}



\maketitle
\thispagestyle{empty}
\pagestyle{empty}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{abstract}
We present a convex solution for the
design of generalized accelerated gradient algorithms
for strongly convex objective functions with Lipschitz continuous gradients.
We utilize integral quadratic constraints and the Youla parameterization
from robust control theory to formulate a solution of the algorithm design problem as a convex semi-definite program.
We establish explicit formulas for the optimal convergence
rates and extend the proposed synthesis solution to extremum control problems.
\end{abstract}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Introduction}

Accelerated gradient algorithms, also refereed to as
momentum methods, are considered to be among the
most widely used optimization algorithms.
These methods are applied e.g.\ in control
or artificial intelligence to train neural networks or
to solve online optimization problems arising from
receding horizon decision making.

From a control and dynamical system perspective,
accelerated algorithms can be viewed as a linear time-invariant discrete-time system in feedback with the
gradient of the to-be-minimized function as a nonlinearity
\cite{Pol87,WanEli11,DueEbe12,LesRec16,HuLes17}.
This perspective provides an immediate link to the
so-called absolute stability or Lur'e problem in control
and offers the possibility to apply advanced
tools from robust control for the analysis and design
of accelerated gradient algorithms.

It has been shown, e.g.,  %, for instance,
that the concept of
integral quadratic constraints and so-called Zames-Falb
multipliers allow to recover the well-known bounds for
the convergence rates of Nesterov’s celebrated
acceleration algorithm by semi-definite programming \cite{LesRec16}.
Moreover, by tuning the parameters of Nesterov’s
algorithm, these bounds can be improved to get the so-called triple momentum algorithm \cite{ScoFre18}.

A more challenging task than the analysis of
given algorithms is the design of novel algorithms
with the help of convex optimization. In light
of the relation to absolute stability
and Lur'e problems, algorithm design falls into the
area of robust feedback controller synthesis. Some
recent works have addressed the synthesis problem (e.g.\ \cite{LesSei20,MicSch20,GraEbe20,TayDro21}).
However, so far it has been an open problem to
formulate the general accelerated gradient algorithm design
problem as a genuine convex
optimization problem. In fact, the aligned question of designing robust controllers
by a convex search over the controller parameters and the multipliers to certify stability
is as well a long-standing open problem in its full generality.


In this paper, we present a convex
solution for a general accelerated gradient algorithm synthesis problem based on semi-definite programming.
Specifically, the main contributions  are as follows.
In Section~\ref{sec2}, we reveal that a particular dynamical system structure is inherent to any convergent algorithm.
This insight allows us to formulate the algorithm design problem in terms of a robust feedback controller
synthesis problem in Section \ref{Ssyn}.
%Hereby, the structured system plays the role of the to-be-controlled system (plant) in the feedback loop.
We then show in Section \ref{sec_convexification}  how the special structure of the  system can be exploited to convexify the common search for the algorithm parameters and the dynamic Zames-Falb multipliers which certify convergence.
Our approach permits to derive explicit formulas for the optimal convergence rate that is achievable by synthesis,
in analogy to the analysis results for Nesterov’s algorithm in \cite{SafJos18}.
In this fashion, we are able to prove that the convergence rate of the triple momentum algorithm is indeed optimal if using the class of causal Zames-Falb multipliers to assure convergence.

Another key feature of our approach is its flexibility. We reveal in Section \ref{sec5} that it extends to extremum control \cite{AstWit89}, in which the goal is to drive the output of a dynamical system
to some steady-state condition at which a given cost function is minimized or maximized.
In particular, we establish a fully convex synthesis approach to design extremum controllers with optimal convergence properties,
even if the cost functions are structured.

%Instead of following the standard path of combining standard optimization algorithms with tracking\ce{(?)} controllers to guarantee
%convergence by time-separation arguments, we manage to synthesis controllers which achieve optimization and tracking\ce{(?)} with
%optimal convergence rates in one shot.


Since we believe that the results in this paper are of interest to both the areas of control and optimization, we have written several sections in a tutorial fashion so that the results are accessible without a special background in robust control theory.



\section{Algorithm analysis and design}\label{Salg}
\label{sec2}

\subsection{Systems and Algorithms}

Let $\cS$ be the class of all $C^1$-functions $f:\R^d\to\R$ that
are strongly convex with parameter $m>0$ and whose gradient is Lipschitz with constant $L>m$, i.e.,
\eqn{[\na f(x)-\na f(y)]^T(x-y)\geq m\|x-y\|^2\te{and}
%}
%%and
%\eqn{
\|\na f(x)-\na f(y)\|\leq L\|x-y\|}
for all $x,y\in\R^d$. We denote by $\cS^0$ the set of $f\in\cS$ with $\nabla f(0)=0$.
%(with constants $0<m<L$) in the semi-definite partial ordering of real symmetric matrices. Hence $f$ is strongly convex and $\na f$ is globally Lipschitz with constant $L$.
Any $f\in \cS$ admits a unique global minimizer
$
z_*=\argmin_{z\in\R^d} f(z)\in\R^d
$
which is the solution of the equation $\na f(x)=0$.
It is well-known that the sequence defined by the gradient descent algorithm
\eql{gra}{
z_{k+1}=z_k-\al\na f(z_k)
}
for a fixed step-size $\al\in(0,2/L)$
converges to $z_*$ linearly, i.e., there exists constants $K$ and
$\rho\in( 0,1)$ such that
$\|z_k-z_*\|\leq K\rho^k\|z_0-z_*\|$ holds for all $z_0\in\R^n$ and $k\in\N_0$.
The worst-case convergence rate is defined as the infimal $\rho\in(0,1)$ for which there exists some $K$
such that linear convergence holds for all $f\in\cS$. This value depends on the algorithm parameter $\al$
and is denoted by $\rwc(\al)$. Determining upper bounds on $\rwc(\al)$
and finding an optimal choice for the algorithm parameter $\al$ which minimizes $\rwc(\al)$ has a long history in optimization theory \cite{Nes18}.

From the perspective of control, \r{gra} simply defines a nonlinear discrete-time dynamical system. Then
$k\in\N_0$ denotes a time-instant and the sequence $(z_k)_{k\in\N_0}$ is the solution (state-trajectory) of the system. Moreover, $z_*$ just constitutes a constant trajectory of \r{gra} and is, therefore,  called an equilibrium (a fixed point) thereof. Linear convergence with rate $\rho$ means that $z_*$  is globally exponentially stable with  rate $\rho$. The worst-case convergence rate is defined by considering the whole family of systems parameterized by $\na f$ for $f\in\cS$. It is common in control that such a family of systems is interpreted as a single  so-called uncertain dynamical system with an uncertainty $\na f\in \nabla\cS$.  Also in this field there is a long tradition in estimating $\rwc(\al)$, which is termed robust stability {\em analysis}. Finding a parameter $\al$ which minimizes $\rwc(\al)$ or a tight upper bound thereof is then called robust stability {\em synthesis}.

In robust control, a particularly useful step is to separate the description of the known parts of the algorithm from the uncertainty $\na f$. This just means to introduce the auxiliary signals $x_k:=z_k$ and
\equ{\l{del}w_k:=\na f(z_k),}
which allows us to rewrite \r{gra} as \r{del} together with
%\eql{gra1}{x_{k+1}=x_k-\al w_k,\ \ z_k=x_k.}
%Then \r{gra1} by itself can also be expressed in a compact (block-matrix partitioned vector) format as
\eql{sys}{
\mat{cc}{x_{k+1}\\z_k}=\mat{cc}{\Aal&\Bal\\\Cal&0_d}
\mat{cc}{x_{k}\\w_k}
}
where $\Aal=I_d$, $\Bal=-\al I_d$, $\Cal=I_d$,  and $I_d$\,/\,$0_d$ denote the identity/zero matrix in $\R^{d\times d}$, respectively.
By itself, \r{sys} defines a linear time-invariant dynamical system that maps an initial condition $x_0\in\R^d$ and some input sequence $w=(w_k)_{k\in\N_0}$ through the recursion \r{sys} into the output sequence $z=(z_k)_{k\in\N_0}$.
The relation \r{del} alone is viewed as a static (nonlinear) system which maps the signal $z$ into $w$. Considering \r{del}-\r{sys} together means that the output (input) of \r{sys} is set equal to the input (output) of \r{del}. In control, this constitutes the feedback interconnection of \r{del} and \r{sys}
and motivates to visualize this feedback loop in an intuitive fashion by the block-diagram on the left in Fig.~\ref{fig1}. In other words, the system \r{sys} involves the algorithm parameters, while the feedback interconnection of \r{del} and \r{sys} constitutes the algorithm itself in order to compute $z_*$ for a particular instance of $f\in\cS$. Exactly the same interconnection represents an algorithm with a variable step-size $\al_k$ if just replacing $\Bal=-\al I_d$ in \r{sys} with $\Bal_k=-\al_k I_d$,
which turns \r{sys} into a linear time-varying system.


Now consider \r{sys} with general matrices $\Aal\in\R^{n\times n}$, $\Bal\in\R^{n\times d}$, $\Cal\in\R^{d\times n}$. Then the interconnection of \r{del} and \r{sys} takes the initial condition $x_0\in\R^n$ as its input and generates the unique state- and output-responses $(x_k)_{k\in\N_0}$
and $(z_k)_{k\in\N_0}$  through the recursion
\eql{usys}{x_{k+1}=\Aal x_k +\Bal \na f(\Cal x_k),\ \ z_k=\Cal x_k.}
The main goal of this work is to determine
matrices $\Aal, \Bal,\Cal$, if existing,
by a  semi-definite program
such that the algorithm \r{usys}
achieves a given convergence rate $\rho \in (0,1)$
for given $m,L$ and all objective functions $f\in\cS$.
We work with an operator interpretation of \r{sys} with general $\Aal\in\R^{n\times n}$, $\Bal\in\R^{n\times m}$, $\Cal\in\R^{k\times n}$ and replacing $0_d$ by $\Dal\in\R^{k\times m}$. Moreover, we  denote by $\le^n$ the vector space of signals $x:\N_0\to\R^n$, while $l_2^n$ is the subspace of all square summable sequences equipped with the inner product $\ab{x,y}_2:=\sum_{k=0}^\infty x_k^Ty_k$ and the norm $\|x\|_2:=\sqrt{\ab{x,x}_2}$
for $x,y\in l_2^n$. For $w\in \le^m$ and $x_0\in\R^n$, the recursion
%$x_{k+1}=\Aal x_k+\Bal w_k$ and $z_k=\Cal x_k+\Dal w_k$
\eql{rec}{
\mat{cc}{x_{k+1}\\z_k}=\mat{cc}{\Aal&\Bal\\\Cal&\Dal}
\mat{cc}{x_{k}\\w_k}
}
defines unique state- and output-responses $x\in \le^n$ and $z\in\le^d$, respectively; for a fixed $x_0$ (often taken to be $0$), the resulting affine (linear) operator is denoted as
\eql{sysm}{
%z=\mas{c|c}{\Aal&\Bal\hl\Cal&\Dal}_{x_0}\!\!\!\!(w)
z=\mas{c|c}{\Aal&\Bal\hl\Cal&\Dal}w
}
where we suppress the dependence on $x_0$. All throughout this paper,
we reserve square brackets to denote the input-output operator \r{sysm} defined by the recursion \r{rec};
the partition lines in \r{sysm} are always displayed to separate $\Aal$ from the other matrix blocks in \r{rec}.
%Partitioned block matrices are denoted by round brackets.



Consequently \r{del}-\r{sys}, \r{usys}, and
\eql{nl}{w=\nabla f(z),\ \ z=\mas{c|c}{\Aal&\Bal\hl\Cal&0}w}
express one and the same interconnection as
depicted by the block-diagram in Fig.~\ref{fig1}.
\begin{figure}[t!]
\cen{
\begin{tikzpicture}[xscale=1,yscale=1]
%nodes
\node[sy2] (g) at (0,0)  {$\arr{ccl}{x_{k+1}&=&\Aal x_k+\Bal w_k\\z_k&=&\Cal x_k}$};
    \tio{Gi1}{g}{east}{1/2};
    \tio{Go1}{g}{west}{1/2};
\node[sy0] (d) at (0,1.3)  {$w_k=\na f(z_k)$};
\draw[->] (d) -| node[pos=.3,above]{$w_k$} ($(Gi1) + (1*\dl, 0)$) -- (Gi1);
\draw[->] (Go1) -- ($(Go1) - (1*\dl, 0)$) |- node[pos=.7,above]{$z_k$} (d);
\end{tikzpicture}\hspace{10ex}
\begin{tikzpicture}[xscale=1,yscale=1]
\node[sy2] (g) at (0,0)  {$\mas{c|c}{\Aal&\Bal\hl \Cal&0}$};
    \tio{Gi1}{g}{east}{1/2};
    \tio{Go1}{g}{west}{1/2};
\node[sy0] (d) at (0,1.3)  {$\na f$};
\draw[->] (d) -| ($(Gi1) + (1*\dl, 0)$) -- node[below]{$w$} (Gi1);
\draw[->] (Go1) -- node[below]{$z$} ($(Go1) - (1*\dl, 0)$) |-  (d);
\end{tikzpicture}
\caption{Feedback interconnection.}
\label{fig1}
}
\end{figure}
Analyzing the convergence properties of a general algorithm \r{usys} then boils down to analyzing
the stability properties of the feedback system \r{nl}.  From now on we represent algorithms interchangeably by \r{sys} or \r{sysm}. Algorithm convergence means that the signal $z$ in \r{nl} converges to the minimizer of $f$ for any initial condition $x_0\in\R^n$.

The analysis of stability of feedback interconnections constitutes one of the fundamental questions studied in control since its beginnings, with many traditional ideas nicely collected in the classical textbook \cite{DesVid75}.
Polyak was among the first to clearly emphasize the above sketched tight link between the two areas \cite{Pol87}, see also \cite{WanEli11,DueEbe12,LesRec16,HuLes17}. By arguing with an analogy to mechanical systems, he suggested to replace \r{gra} by the heavy-ball method which includes a damping or momentum term as in $z_{k+1}=z_k-\al \na f(z_k)+\be(z_k-z_{k-1})$ for some parameters $\be\in[0,1)$ and $\al\in(0,2(1+\beta)/L)$. It is easy to check that the corresponding algorithm is \r{nl} for the system matrices
\eql{tri}{
\mat{c|c}{\Aal&\Bal\hl\Cal&0}=\mat{cc|c}{(1+\be)I_d&-\be I_d&-\al I_d\\I_d&0&0\hl (1+\ga)I_d&-\ga I_d&0}
}
with $\ga=0$. %\red{Details on rates?}
In \cite{Pol87} it is shown that the convergence rate is considerably improved over gradient descent, at the cost of sacrificing global algorithm convergence \cite{LesRec16}. Nesterov's celebrated accelerated gradient decent algorithm corresponds the choice $\ga=\be$ in \r{tri} with guaranteed global and fast convergence \cite{Nes18}. The more recently proposed triple momentum algorithm \cite{ScoFre18} relies on different values of the three parameters in \r{tri} with the best-known convergence rate to date.

Let us conclude this section by recalling some basic notions for general linear systems \r{rec} or \r{sysm}.
With an invertible matrix $T\in\R^{n\times n}$, a state-coordinate change for \r{rec} is defined by $\xi_k:=Tx_k$. It is easily seen that this transforms the quadrupel $(\Aal,\Bal,\Cal,\Dal)$ into $(T^{-1}\Aal T,T^{-1}\Bal,\Cal T,\Dal)$.
For a fixed input signal $w$ and the initial conditions $x_0$ and $\xi_0=Tx_0$, respectively,
one can check that the output trajectories of the original and the transformed systems are identical;
this is compactly expressed through
\eql{sys1}{
\mas{c|c}{\Aal&\Bal\hl\Cal&\Dal}=
\mas{c|c}{T^{-1}\Aal T&T^{-1}\Bal\hl\Cal T&\Dal}.
}
Furthermore, the series interconnection of two systems
\eql{sys12}{
y_1=\mas{c|c}{\Aal_1&\Bal_1\hl \Cal_1&\Dal_1}u_1\te{and}
y_2=\mas{c|c}{\Aal_2&\Bal_2\hl \Cal_2&\Dal_2}u_2
}
is defined by using the output signal of the second as an input to the first, which is reflected by $u_1=y_2$ (and requires that the  signal dimensions match). This is nothing but the composition of the two respective maps,
which is as usual denoted as an operator product. It is elementary to verify that the series interconnection of
the two systems \r{sys12}
%$\footnotesize\mas{c|c}{\Aal_1&\Bal_1\hl \Cal_1&\Dal_1}$ and $\footnotesize\mas{c|c}{\Aal_2&\Bal_2\hl \Cal_2&\Dal_2}$
can be described by
\equ{\label{prod}\arc
%\mas{c|c}{\Aal_1&\Bal_1\hl \Cal_1&\Dal_1}\mas{c|c}{\Aal_2&\Bal_2\hl \Cal_2&\Dal_2}=
\mas{cc|c}{\Aal_1&\Bal_1\Cal_2&\Bal_1\Dal_2\\0&\Aal_2&\Bal_2\hl \Cal_1&\Dal_1\Cal_2&\Dal_1\Dal_2}\text{ or }
\mas{cc|c}{
\Aal_2    &0   &\Bal_2    \\
\Bal_1\Cal_2 &\Aal_1 &\Bal_1\Dal_2 \hl
\Dal_1\Cal_2 &\Cal_1 &\Dal_1\Dal_2 }.
}


In case of identical dimensions of the input and output signals in \r{sys12}, the sum of the two maps is the so-called parallel interconnection given by
\eql{sum}{\arraycolsep.4ex
\mas{c|c}{\Aal_1&\Bal_1\hl \Cal_1&\Dal_1}\!+\!\mas{c|c}{\Aal_2&\Bal_2\hl \Cal_2&\Dal_2}=
\mas{cc|c}{\Aal_1&0&\Bal_1\\0&\Aal_2&\Bal_2\hl \Cal_1&\Cal_2&\Dal_1\!+\!\Dal_2}.}
Further, if $\Dal$ is invertible, the map \r{sysm} is invertible and its inverse can be represented with
$$
\mas{c|c}{\Aal-\Bal\Dal^{-1}\Cal&\Bal\Dal^{-1}\hl -\Dal^{-1}\Cal&\Dal^{-1}}.
$$
The system \r{rec} is called stable if $\Aal$ is a Schur matrix, i.e., all its eigenvalues are in absolute value strictly smaller than one. Moreover, \r{rec} or the pair $(\Aal,\Bal)$ is stabilizable if there exists a matrix $M$ such that $\Aal+\Bal M$ is Schur; similarly, \r{rec} or $(\Aal,\Cal)$ is detectable if there exists $L$ such that $\Aal+L\Cal$ is Schur.
%\red{Feedback too early, I guess. Inversion?}\\



%\subsection{Translation into a controller synthesis problem}
\subsection{Algorithm Structure and Convergence}\label{Sstr}

Let us now get back to the algorithm \r{nl}.
First, we settle that convergence enforces an important
structural constraint on the parameters $\Aal$, $\Bal$, $\Cal$.
We start by stressing that there is no benefit in choosing systems \r{sys} which are not detectable.
Indeed, suppose $(\Aal,\Cal)$ in \r{nl} is not detectable. We then follow
\cite[Sec. 3.3]{ZhoDoy96} and perform a state-coordinate change to obtain
$$
%\mat{c|c}{\Aal&\Bal\hl \Cal&0}=\mat{cc|c}{\Aal_1&0&\Bal_1\\\Aal_{21}&\Aal_2&\Bal_2\hl \Cal_1&0&0}
\mat{c|c}{\Aal&\Bal\hl \Cal&0}=\mat{cc|c}{\Aal_1&\Aal_{12}&\Bal_1\\0&\Aal_2&\Bal_2\hl 0&\Cal_2&0}
$$
where $(\Aal_2,\Cal_2)$ is detectable. Due to the block structure of the matrices,
the set of $z$-trajectories of \r{usys} and of
$\xi_{k+1}=\Aal_2 \xi_k +\Bal_2 \na f(\Cal_2 \xi_k),\ \ z_k=\Cal_2 \xi_k$
are obviously identical. W.l.o.g. we can hence replace the non-detectable system in \r{nl}
by the one described with the triple $(\Aal_2,\Bal_2,\Cal_2)$ which is detectable.

Note that the least convergence requirement for the algorithm \r{del}-\r{sys} is
\eql{conv}{\lim_{k\to\infty}z_k=z_*\te{and}\lim_{k\to\infty}w_k=0}
(for any initial condition $x_0\in\R^n$ and some $z_*\in\R^d$).
If $(\Aal,\Cal)$ is detectable and we take $L$ such that $\Aal+L\Cal$ is Schur, we infer
$x_{k+1}=(\Aal+L\Cal)x_k+\Bal w_k-Lz_k$. Therefore, \r{conv} also implies the convergence of the state-trajectory $x_k$ to some $x_*$ for $k\to\infty$ with
\eql{equ}{x_*=\Aal x_*\te{and}z_*=\Cal x_*.}
%\red{This relates to the notion of consistency of the algorithm whose significance has been emphasized in \cite{ArjSha16}.}
Most importantly, we now show that \r{conv} enforces the following special structure of the algorithm parameters.
\theo{\label{Tnec}Let $(\Aal,\Cal)$ be detectable. If all trajectories of \r{usys} satisfy \r{conv} for all quadratic functions $f\in\cS$ and all $x_0\in\R^n$, then $\Aal+\Bal m\Cal$ is Schur and there exist %matrices
$\Aalp,\Balp,\Calp,\Dalp$ such that
\eql{imp}{
\mas{c|c}{\Aal&\Bal\hl \Cal&0}=
%\mas{cc|c}{I_d&\Calp&\Dalp\\0&\Aalp&\Balp\hl I_d&0&0}.
\mas{c|c}{\Aalp&\Balp\hl\\[-2.5ex] \Calp&\Dalp}
\mas{c|c}{I_d&I_d\hl I_d&0}.
}
%and
%\eql{noz}{\mat{cc}{\Aalp-I&\Balp\\ \Calp&\Dalp}\te{is invertible.}}
If $(\Aal,\Cal)$ has the structure induced by
\r{imp}, then \r{equ} has a unique solution $x_*\in\R^n$ for every $z_*\in\R^d$.
}

Before entering the proof, let us interpret the structural property \r{imp} in the state-space. By \r{prod}, it implies that there exists a state-coordinate change of \r{sys} after which the algorithm \r{del}-\r{sys} reads
\eql{alg}{
\arc
\mat{c}{\xi_{k+1}\\\eta_{k+1}\hl z_k}=
\mat{cc|c}{
I_d   &0     &I_d \\
\Balp &\Aalp &0   \hl
\Dalp &\Calp &0   }
%\mat{cc|c}{\Aalp&\Balp&0\\0&I_d&I_d\hl \Calp&\Dalp&0}
\mat{c}{\xi_{k}\\\eta_{k}\hl w_k},\ w_k=\nabla f(z_k).
}
\proof{We start by observing that, given $z_*$, there is at most one vector $x_*$ satisfying \r{equ} since
\eql{frk}{\rk\mat{c}{\Aal-I\\\Cal}=n.}
Indeed, because $(\Aal,\Cal)$ is detectable, we can take $L$ such that $\Aal+L\Cal$ is Schur; then
$(\Aal-I)x=0$, $\Cal x=0$ imply $(\Aal+L\Cal-I)x=0$ and thus $x=0$, because $1$ is no eigenvalue of $\Aal+L\Cal$.

Now take $f\in\cS$ as $f(z)=\frac{1}{2}z^T(m\Id)z-b^Tz$
with %$Q\in\R^{d\times d}$ positive definite and
any $b\in\R^d$. Then the trajectories of
\r{del}-\r{sys} satisfy
\eql{lusys}{
x_{k+1}=(\Aal +\Bal m\Cal )x_k-\Bal b,\ \ w_k=m\Cal x_k-b.
}
Due to \r{conv} we have argued above that $x_k\kto x_*$ with $x_*$ satisfying \r{equ}; we also infer $m\Cal x_*=b$.

Let us first take $b=0$. By $m>0$ we get $z_*=\Cal x_*=0$.
Since $x_*=0$ satisfies \r{equ}, we infer (by uniqueness) that
$x_k\kto 0$ for all trajectories of \r{lusys}. This implies that $\Aal+\Bal m\Cal$ is Schur which proves the first statement.


Now let $b\in\R^d$ be general. We then get $b=m\Cal x_*=m\Cal(\Aal +\Bal m\Cal -I_n)^{-1}\B b$
for all $b\in\R^d$ and, therefore, $I_d-m\Cal(\Aal+\Bal m\Cal-I_n)^{-1}\Bal =0$. With a Schur complement argument \cite{HorJoh85}, this implies
\eqn{
\rk\mat{cc}{\Aal +\Bal m\Cal -I_n&\Bal \\m\Cal &I_d}=n.
}
Yet another Schur complement argument shows
%$$
%\rk\mat{cc}{\Aal-I_n&\Bal \\Q(\Dal-\Cal) &I_d}=n.
%$$
\eql{h1}{
\rk(\Aal -I_n)=n-d.
}
Now choose $T_1\in\R^{n\times d}$ with full column rank and $T_1^T(\Aal-I_n)=0$. Then $T_1^T\Bal \in\R^{d\times d}$ is invertible;  otherwise there exists $x\neq 0$ with $x^TT_1^T\Bal =0$ and thus
$(T_1x)^T(\Aal +\Bal m\Cal)=x^TT_1^T\Aal =x^TT_1^T=(T_1x)^T$; because $T_1x\neq 0$, we infer
that $1$ is an eigenvalue of $\Aal +\Bal m\Cal$, which is a contradiction since the latter matrix is Schur. We can hence choose $T_1$ to also satisfy
$T_1^T\Bal=I_d$ and pick $T_2\in\R^{n\times (n-d)}$ with
$T_2^T\Bal=0$ such that $T=(T_1\ T_2)$ is invertible. We get
$
T^T\Aal =\mat{cc}{I_d&0\\\Balp&\Aalp}T^T\te{and}T^T\Bal=\mat{cc}{I_d\\0}
$
for suitable matrices $\Aalp\in\R^{(n-d)\times(n-d)}$, $\Balp\in\R^{(n-d)\times d}$.
With $\mat{cc}{\Dalp&\Calp}:=\Cal T^{-T}$ we infer \r{imp} since
\eql{h2}{
\mat{c|c}{T^T\Aal T^{-T}&T^T\Bal \hld \Cal T^{-T}&0}=
\mat{cc|c}{
I_d   &0     &I_d \\
\Balp &\Aalp &0   \hl
\Dalp &\Calp &0   }.
%\mat{cc|c}{\Aalp&\Balp&0\\0&I_d&I_d\hl \Calp&\Dalp&0}.
}

For the system matrices in \r{alg}, we finally note that \r{equ} is equivalent to
\eql{h3}{
\mat{ccc}{\Balp&\Aalp-I\\\Dalp&\Calp}x_*=\mat{c}{0\\z_*}
}
and that the matrix ín \r{h3} is square. Since \r{h3} has at most one
solution $x_*$ (as shown at the beginning of the proof), we infer that the matrix in \r{h3}
is actually invertible, which proves the last statement.\epro}

%\red{Link to Michalowsky paper.}

%%{\bf Assumption.} For all salgorithm \r{nl} All algorithms, the system \r{sys} is detectable
%and admits the structure \r{imp}.


We are now in the position to introduce the precise definition of algorithm convergence with rate $\rho$.
\defi{
Let the system in \r{nl} be detectable and admit the structure \r{imp}.
For $\rho\in(0,1)$, algorithm \r{nl} achieves $\rho$-convergence
(for the class $\cS$) if
there exists some $K\geq 0$ such that
\eql{conrho}{\|z_k-z_*\|\leq K\rho^k\|x_0-x_*\|\te{for all}k\in\N_0,}
for any $f\in\cS$ with minimizer $z_*\in\R^d$, any $x_0\in\R^n$
and any $x_*\in\R^n$ satisfying \r{equ}.

The infimum of all $\rho\in(0,1)$ such that \r{nl} achieves $\rho$-convergence is the
algorithm convergence rate and denoted as $\rwc$ (with $\rwc:=\infty$ if no such $\rho$ exists).}



Note that $\rho$-convergence is invariant under a state-coordinate change of \r{sys}.
Moreover, $\rho$-convergence implies but is stronger than the convergence property \r{conv} for all trajectories of \r{nl} with any $f\in\cS$.
%We conclude that the structural property in Theorem \ref{Tnec} is necessary for $\rho$-convergence.
%The significance of this structure for guaranteeing convergence is seen next.



\theo{\label{Tsuf}
Let the system in \r{nl} be detectable and admit the structure \r{imp}.
If \r{nl} achieves $\rho$-convergence
for the class $\cS^0$, then it achieves $\rho$-convergence for the full class $\c{S}_{m,L}$ as well.
}

\proof{By assumption, there exists some $K\geq 0$ such that all trajectories of
\eql{sys0}{
{\arc
\mat{c}{\bar x_{k+1}\\ \bar z_k}}=
\mat{cc}{\Aal&\Bal\\\Cal&0}
\mat{c}{\bar x_{k}\\ \bar w_k},\ \bar w_k=\nabla \bar f(\bar z_k)
}
for any $\bar f\in\cS^0$ satisfy
\eql{int1}{\|\bar z_k\|\leq K\rho^k\|\bar x_0\|\te{for all}k\in\N_0.}
% (since $z_*=0$ and we can choose $x_*=0$).
Now take $f\in\cS$ with minimizer $z_*$, any $x_0\in\R^n$ and consider \r{alg}.
By Theorem \ref{Tnec}, \r{equ} has a unique solution $x_*\in\R^n$ which clearly satisfies
$
\mat{c}{x_*\\z_*}=\mat{cc}{\Aal&\Bal\\\Cal&0}\mat{c}{x_*\\ 0}.
$
Define $\bar x_k:=x_k-x_*$, $\bar z_k:=z_k-z_*$, $\bar w_k:=w_k$ and $\bar f:=f(\bullet+z_*)$. By linearity,
this yields a trajectory of \r{sys0}. Since $\bar f\in\cS^0$, we infer that \r{int1} is valid. This is clearly nothing but \r{conrho} as was to be shown.
\mbox{}\hfill\epro
}

In summary, Theorem \ref{Tnec} reveals that algorithm convergence requires that the related linear system ``contains'' a model of the so-called discrete time integrator
\eql{int}{
\mat{c}{\eta_{k+1}\\y_k}=\mat{cc}{I_d&I_d\\I_d&0}\mat{c}{\eta_k\\u_k}
%y=\mas{c|c}{I_d&I_d\hl I_d&0}z
}
as a right factor. Conversely, by Theorem \ref{Tsuf},
if the algorithm parameters "contain" the integrator \r{int}, $\rho$-convergence can be induced from $\rho$-convergence for $f\in\cS^0$ with a minimizer located at the origin. From a control theory perspective, this is reminiscent of the so-called internal model principle \cite{Won85a}.





\subsection{Robust Stability Analysis and $\rho$-Convergence}\label{Sana}

From now on we assume that the system in \r{nl} is detectable and admits the structure \r{imp}.
The next goal is to relate the question of bounding the algorithm convergence rate $\rwc$ to a robust stability analysis problem.
In view of Theorems \ref{Tnec} and \ref{Tsuf}, it suffices to confine the discussion to the class $\cS^0$. %, which does not contain the zero function. This motivates to
We also  map $\cS^0$ bijectively onto $\cSs^0$ through $f\mapsto g$ where
$g(z):=f(z)-\frac{1}{2}z^T(m\Id)z\te{for}z\in\R^d.$
Then, \r{nl} clearly just is the interconnection of
\r{sys} with $w=\nabla g(z)+mz$. With the transformation
\eql{sit0}{
\mat{c}{\bar z\\\bar w}:=\mat{cc}{\Id&0\\-m\Id&\Id}\mat{c}{z\\w},
}
this interconnection can be as well expressed by
\eql{cll1}{\arc
\mat{c}{\bar x_{k+1}\\\bar z_k}=\mat{cc}{\Aal+\Bal m\Cal&\Bal\\ \Cal&0}\mat{c}{\bar x_k\\\bar w_k},\ \bar w_k=\nabla g(\bar z_k).
%z=\mas{c|c}{\Aal-\Bal m\Cal&\Bal\hl \Cal&0}w,\ \ w=\nabla g(z).
}
Then $\rwc$ is just equal to the convergence rate of \r{cll1} for
the class $\cSs^0$.
%Then \r{sys} achieves $\rho$-convergence for the class $\cS^0$ iff
%it achieves $\rho$-convergence for the new interconnection \r{cll1} and the class $\cSs^0$.
%\defi{The convergence rate $\rwc(\Aal,\Bal,\Cal)$ of \r{sys} is the infimum of all $\rho\in(0,1]$ such that the algorithm achieves $\rho$-convergence for \r{cll1} and the class $\cSs^0$.}
Next, for $\rho\in(0,1)$, we follow \cite{DesVid75} and introduce the signal weighting mapping
$
\rho_+:\le^n\to\le^n,\ \ x\mapsto \rho_+(x)=(\rho^kx_k)_{k\in\N_0}
$
which is bijective. Then
\eql{sit1}{
\ch x:=\rho_+^{-1}(\bar x),\ \ \ch w=\rho_+^{-1}(\bar w)\te{and}
\ch z=\rho_+^{-1}(\bar z)}
transform \r{cll1} into
\eql{cll}{
\mat{c}{\ch x_{k+1}\\\ch z_k}=\mat{cc}{\rho^{-1}(\Aal+\Bal m\Cal)&\rho^{-1}\Bal\\ \Cal&0}\mat{c}{\ch x_k\\\ch w_k},\ \
\ch w_k=\rho^{-k}\nabla g(\rho^k \ch z_k).
%\arr{rcl}{\arc
%\mat{c}{\ch x_{k+1}\\\ch z_k}&=&\mat{cc}{\rho^{-1}(\Aal+\Bal m\Cal)&\rho^{-1}\Bal\\ \Cal&0}\mat{c}{\ch x_k\\\ch w_k},\\
%\ch w_k&=&\rho^{-k}\nabla g(\rho^k \ch z_k).}
}
These steps permit us to relate $\rwc$ to a standard robust stability margin for the map $\ch x_0\mapsto \ch z$ defined by \r{cll}.

\lemm{\label{Lrs}Let $\rro$ be the infimal $\rho\in(0,1)$ for which there is a $K\geq 0$ such that all trajectories of \r{cll} with $g\in \cSs^0$ satisfy $\|\ch z\|_2\leq K\|\ch x_0\|$.
Then the convergence rate $\rwc$ of algorithm \r{nl} is equal to $\rro$.
%If $\rwc(\Aal,\Bal,\Cal)<\rho\leq 1$, such a $K$ is guaranteed to exist.
}

\proof{To show $\rwc\leq\rro$ we can assume $\rro<\infty$.
Let $\rho\in(\rro,1)$ and take any trajectory of \r{cll1}.
Then the $\rho_+^{-1}$-transformed signals define a trajectory of \r{cll} and we hence infer, by using the definition of $\rro$, that
$
\rho^{-k}\|\bar z_k\|=\|\ch z_k\|\leq \|\ch z\|_2\leq K\|\ch x_0\|=K\|\bar x_0\|
$
for all $k\in\N_0$. This proves $\rho$-convergence of \r{cll1} for the class $\cSs^0$ and, therefore,
$\rwc\leq\rho$. Since $\rho\in(\rro,1)$ was arbitrary, we conclude $\rwc\leq\rro$.

To see $\rro\leq\rwc$ let $\rwc<\infty$ and take $\rho\in(\rwc,1)$. Choose
some $\rho_0\in(0,1)$ with $\rho_0\rho\in(\rwc,1)$ to infer $(\rho_0\rho)$-convergence of \r{cll1}
for the class $\cSs^0$. Hence, there exists some $\bar K\geq 0$ such that all trajectories of \r{cll1} satisfy
$\|(\rho_0\rho)^{-k}\bar z_k\|\leq \bar K\|\bar x_0\|$ and thus
$\|\rho^{-k}\bar z_k\|\leq \bar K\rho_0^{k}\|\bar x_0\|$
for all $k\in\N_0$. Then any trajectory of \r{cll} can be transformed with $\rho_+$ back into one of \r{cll1} to get, with $\bar x_0=\ch x_0$, that
$
\sum_{k=0}^\infty \|\ch z_k\|^2=\sum_{k=0}^\infty \|\rho^{-k}\bar z_k\|^2\leq
%\sum_{k=0}^\infty \rho_0^k\|(\rho_0\rho)^{-k}\bar z_k\|^2
\left(\sum_{k=0}^\infty\rho_0^{2k}\right)\bar K^2\|\ch x_0\|^2.
$
We conclude $\rro\leq\rho$ and, hence, $\rro\leq\rwc$. \epro
}

In summary, computing tight upper bounds on the convergence rate $\rwc$ of algorithm \r{nl} is equivalent to
determining tight upper bounds on the so-called robust stability margin $\rro$ for the interconnection \r{cll} as defined in Lemma \ref{Lrs}.

\remark{\label{rem1} If $\rro<\infty$ then
$\rho^{-1}(\Aal+\Bal m\Cal)$ is Schur for all $\rho\in(\rro,1)$. This is shown as in the first step of the proof of
Theorem \ref{Tnec}.
}

%The latter is a classical robust stability analysis problem that is known to be tractable with so-called Zames-Falb multipliers in the framework of integral quadratic constraints (IQCs) as recalled next.

\subsection{Robust Stability Analysis and Integral Quadratic Constraints}\label{Siqc}


In this section we sketch how to compute effective bounds on the margin $\rwc=\rro$
by setting up a semi-definite program. This involves a family of so-called Zames-Falb multipliers.
These are systems
\eql{fil}{\arc
\Pi(\La):=
\mas{c|c}{\Af&\Bf\hl \Cf(\La)&\Df(\La)}:=
\mas{cccc|c}{
0      &I_d    &\cdots &0      &0        \\
\vdots &\ddots &\ddots &\vdots &\vdots   \\
0      &\cdots &0      &I_d    &0      \\
0      &\cdots &0      &0      &I_d      \hl
\Lai{\len}&\Lai{\len-1}&\cdots&\Lai{1}&\Lai{0}}
}
which are parameterized by a matrix tuple $\La$ in the set
\mun{
\Las:=\left\{\mat{cccc}{\Lai{\le}&\cdots&\Lai{1}&\Lai{0}}
\in(\R^{d\times d})^{l+1}
\st
%\Lai{i}\in\R^{d\times d},\ i=0,\ldots,l
\right.
\Lai{0}-\diag(\Lai{0})\leq 0,\ \ \Lai{i}\leq 0\te{for}i=1,\ldots,l,\\
\left. \left(\sum_{i=0}^\len \Lai{i}\rho^i\right)e\geq 0,\
e^T\left(\sum_{i=0}^\len \Lai{i}\rho^{-i}\right)\geq 0
\right\};
}
the inequalities are read elementwise and $e\in\R^d$ is the all-ones vector, while
$\diag(A)\in\R^{d\times d}$ is the diagonal matrix whose diagonal is identical to that of $A\in\R^{d\times d}$.

Note that \r{fil} is a so-called finite-impulse-response filter of length $\le$ and of dimension $d\times d$; the latter two parameters are not displayed in $\Las$ to lighten the notation. The parameters for which
the blocks in $\La\in\Las$ are diagonally repeated are collected in
\eql{Lasr}{
\Lasr\!:=\Las\cap\left\{\arc\mat{cccc}{\lai{\len}I_d&\cdots&\lai{1}I_d&\lai{0}I_d}\,|\,
\lai{i}\in\R\right\}.
}

The introduction of this family is motivated by the robust stability result in
\cite{MicSch20} for \r{cll}.
This involves the following positivity property for the nonlinearity
\eql{grag}{
%\t z=\mat{cc}{(L-m)\Id&-\Id}\mat{c}{z\\\rho_+^{-1}\nabla g(\rho_+z)}
\ch w=\rho_+^{-1}\nabla g(\rho_+\ch z).}

\lemm{\label{Liqc}Let $g\in\cSs^0$ and $\La\in\Lasr$. Then
\eql{pas}{\ab{\Pi(\La)\t z,\t w}_2\geq 0}
holds for all $\ch z\in l_2^d$ and the output $\ch w$ of \r{grag} with
\eql{sit}{
\mat{c}{\t z\\\t w}:=\mat{cc}{L\Id-m\Id&-\Id\\0&\Id}\mat{c}{\ch z\\\ch w}.
}
}

We emphasize that  the response $\Pi(\La)\t z$ is defined based on the state-space representation \r{fil} with
the state's initial condition taken as zero. From now on, we follow this convention
in robust control for systems expressed in operator notation as in \r{sysm}.


In systems theory, \r{pas} is a so-called passivity property for filtered versions of the input and output signals of \r{grag}; it is
also referred to as an integral quadratic constraint (IQC) \cite{MegRan97}.
The latter terminology emerges since such results are often formulated for continuous time systems, for which the $l_2$-inner product (expressed in terms of sums) is replaced by the inner product on $L_2[0,\infty)$ (involving integrals).


Guaranteeing robust stability of \r{cll} involves a related negativity condition for the linear system
\eql{sysg}{
\ch z=
\mas{c|c}{\rho^{-1}(\Aal+\Bal m\Cal)&\rho^{-1}\Bal\hl \Cal&0}
\ch w.
}
By Remark \ref{rem1}, this system needs to be stable. As a consequence, if $\ch w\in l_2^d$ is any input with finite $l_2$-norm,  the response of \r{sysg} satisfies $\ch z\in l_2^d$. The following
filtered strict negativity property then guarantees
robust stability for \r{cll} as defined in Lemma \ref{Lrs} and, thus, assures $\rro=\rwc\leq\rho$ \cite[Lemma 3, Theorem 4]{MicSch20}.
\theo{\label{Trs}
Let $\rho\in(0,1)$. Then $\rwc\leq\rho$ is assured if
$\rho^{-1}(\Aal+\Bal m\Cal)$ is Schur and if there exist $\La\in\Lasr$, $\eps>0$ such
that for any $\ch w\in l_2^d$ and the response $\ch z\in l_2^d$ of \r{sysg},
the signals \r{sit} satisfy
\eql{pass}{\ab{\Pi(\La)\t z,\t w}_2\leq -\eps\|\t w\|_2^2.}}
In view of \r{sit} and \r{sysg} and for any $\t w\in l_2^d$, the trajectories $(\t z,\t w)$ in \r{pass} can as well be associated
to the system $\t z=\tilde{\c G}\t w$ with
\eql{keysys}{
\Gclt:=\mas{c|c}{\rho^{-1}(\Aal+\Bal m\Cal)&\rho^{-1}\Bal\hl (L-m)\Cal&-I_d}.}
If $G$ denotes the series interconnection $\Pi(\La)\t{\c G}$, then
\r{pass} just reads $\ab{G\t w,\t w}_2\leq-\eps\|\t w\|_2^2$ for all $\t w \in l_2^d$,
and $G$ is also said to be strictly negative real. Theorem~\ref{Trs} just expresses that
$\rwc\leq\rho$ is guaranteed by checking that $G$ is stable and strictly negative real.

To verify these properties, we can use the following variant of the celebrated positive real lemma \cite{AndVon73}.

\lemm{\label{Lpr}Consider a system
$
z=Gw\text{ with }G=\mas{c|c}{A&B\hl C&D}
$
and $d$ inputs and outputs. Then the following statements are equivalent:
\enu{
\item $A$ is Schur and $G$ is strictly negative real (SNR): There exists some $\eps>0$ with $\ab{Gw,w}_2\leq -\eps\|w\|_2^2$ for all $w\in l_2^d$.
\item
There exists some $\red{X}\cg 0$ such that
\eql{negrea}{\arc
\mat{cc}{A&B\\I&0\hl C&D\\0&I}^T\!\!\!
\mat{cc|cc}{\red{X}&0&0&0\\0&-\red{X}&0&0\hl 0&0&0&I\\0&0&I&0}
\mat{cc}{A&B\\I&0\hl C&D\\0&I}\cl 0.
}}
}
In here, $A\cg 0$ ($A\cl 0$) means that the real matrix $A$ is symmetric and positive (negative) definite.
Lemma \ref{Lpr} allows to translate stability and strict negative realness of an operator defined by a linear system into a convex finite-dimensional feasibility constraint, which takes of the form of a linear matrix inequality (LMI) in the matrix variable $\red{X}$.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\sigma:=\frac{L}{m}-1
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

Recall that, in Theorem \ref{Trs}, this involves the series interconnection of $\Pi(\La)$ and $\tilde{\c G}$ in \r{keysys} with the
state-space description
\equ{\label{wcll}
\Pi(\La)\tilde{\c G}=
\mas{c|c}{\Acltf&\Bcltf\hld \Ccltf(\La)&\Dcltf(\La)}:=%\\:=
%\mas{c|c}{\Af&\Bf\hl \Cf(\La)&\Df(\La)}\mas{c|c}{\rho^{-1}(\Aal+\Bal m\Cal)&\rho^{-1}\Bal\hl \t L\Cal&-I_d}
\mas{cc|cc}{
\Af     &\Bf(L-m) \Cal               &-\Bf          \\
0       &\rho^{-1}(\Aal+\Bal m\Cal)   &\rho^{-1}\Bal \hl
\Cf(\La)&\Df(\La)(L-m)\Cal           &-\Df(\La)}.}
We observe that $\rho^{-1}(\Aal+\Bal m\Cal)$ is Schur iff this holds for $\Acltf$.
Hence, Theorem \ref{Trs} in combination with Lemma~\ref{Lpr} leads to the following result.

\coro{\label{Can}
For $\rho\in(0,1)$, the convergence rate of algorithm \r{nl} is bounded as
$\rwc\leq\rho$ if there exist $\La\in\Lasr$ and $\Xc$ that satisfy the constraints
\gat{%\label{lmia0}\arc\La\in\Lasr,\ \ \Xc\cg 0\te{and}\\
\label{lmia}\arc
\Xc\cg 0,\ \
\bul^T%\mat{cc}{\bul\\\bul\hl\bul\\\bul}^T\!\!\!
\mat{cc|cc}{\Xc&0&0&0\\0&-\Xc&0&0\hl 0&0&0&I\\0&0&I&0}
\mat{cc}{\Acltf&\Bcltf\\I&0\hld \Ccltf(\La)&\Dcltf(\La)\\0&I}\cl 0.
}%\vspace{-3ex}
%\eql{lmia0}{\arc
%\Xc\cg 0,\ \ \La\in\Lasr\te{and}}
%\eql{lmia}{\arc
%\bul^T%\mat{cc}{\bul\\\bul\hl\bul\\\bul}^T\!\!\!
%\mat{cc|cc}{\Xc&0&0&0\\0&-\Xc&0&0\hl 0&0&0&I\\0&0&I&0}
%\mat{cc}{\Acltf&\Bcltf\\I&0\hld \Ccltf(\La)&\Dcltf(\La)\\0&I}\cl 0.
%}
}
In \r{lmia} and later we use ``$\bul$'' as a placeholder for the matrix on the right to save space.
For fixed $l\in\N_0$ and $\rho\in(0,1)$, we observe that the
left-hand side of \r{lmia} is affine in the variables $\Xc$ and $\La$.
Note that $\Lasr$ is as well described by LMI constraints on $\La$.
We have thus reduced the verification of $\rho$-convergence for a {\em given} algorithm
to a convex feasibility test in terms of LMIs.

However, recall that the main goal of this paper is algorithm {\em design}. For a given $\rho\in(0,1)$, this means to verify
with an LMI feasibility test whether there exists an algorithm of the form \r{usys} which achieves $\rho$-convergence;
if existing, one wishes to construct an algorithm based on some solution of the LMI.

Recall that we parameterize algorithms by the matrices $\Aalp,\Balp,\Calp,\Dalp$ in \r{alg}.
In Corollary~\ref{Can}, these matrices enter the constraints \r{lmia} via \r{wcll} in a non-linear fashion.
If using Corollary \ref{Can} for design, we end up with non-convex constraints
if viewing the algorithm matrices $\Aalp,\Balp,\Calp,\Dalp$, the multiplier parameter $\La$ and the so-called
Lyapunov matrix $\Xc$ as decision variables. As a preparation for overcoming this trouble,
we recapitulate some essential insights into controller synthesis by LMIs next. %in the next section.

%For a fixed $\La$, the step from the so-called analysis inequalities \r{lmia}
%to synthesizing the algorithm parameters $\Aalp$, $\Balp$, $\Calp$, $\Dalp$ is by now
%rather routine in control, as recalled for the convenience of the reader in the next section.

%The early seminal work
%\cite{GahApk94,IwaSke94} was devoted to the so-called $H_\infty$-control problem.
%In contrast, \r{wcll} is related to the so-called positive-real synthesis problem
%which can as well be easily handled by LMI techniques exposed e.g. in \cite{MasOha98,SchGah97}.
%In the current paper we rely on the results as presented in \cite{Sch00siam,SchWei15} which
%are recalled for the convenience of the reader.
%
%To this end, we consider \r{wcll} as the feedback interconnection of a given system, called plant, with another system defined by the free algorithm parameters, called controller, which are  generically described by
%\eql{placon}{\arc
%\mat{cc}{z\\y}=
%\mas{c|ccc}{A&B_1&B\hl C_1&D_1&E\\C&F&0}
%\mat{cc}{w\\u},\
%u=\mas{c|c}{\Ac&\Bc\hl \Cc&\Dc}y.
%}
%A simple calculation (see e.g. \cite[Section 2]{Sch00siam}) leads to the following
%description for this interconnection:
%\eql{cll2}{
%z=\mas{cc|c}{
%A+B\Dc  C   &B\Cc &B_1+B\Dc F  \\
%\Bc C       &\Ac  &\Bc F       \hl
%C_1+E\Dc C  &E\Cc &D_1+E\Dc F  }w.}
%The controller is said to (internally) stabilize the plant if the ``$A$'' matrix of \r{cll2} is Schur.



\section{Controller Synthesis with LMIs}\label{Ssyn}

Feedback control for systems described by difference equations as in this paper can be abstractly formulated in terms of a given to-be-controlled system, the so-called generalized plant, as described by
\eql{gpla}{
\mat{cc}{z\\y}=
\mas{c|ccc}{A&B_1&B\hl C_1&D_1&E\\C&F&0}
\mat{cc}{w\\u}.}
This plant has two (vector-valued) input and output signals. Here $u$ is the so-called control input with which the system is actuated, steered or manipulated. On the other hand, $y$ is the so-called measurement output, which is viewed as the available information about the system for the purpose of controlling it. A controller then takes $y$ as its input and generates the control action $u$ as its output through
\eql{gcon}{u=\mas{c|c}{\Aco&\Bco\hl \Cco&\Dco}y.}
The plant and controller form the so-called feedback interconnection, which can be expressed
(after  a simple calculation \cite[Section 2]{Sch00siam}) as
\eql{gcll}{
z=
\mas{cc|c}{
A+B\Dco  C   &B\Cco &B_1+B\Dco F  \\
\Bco C       &\Aco  &\Bco F       \hl
C_1+E\Dco C  &E\Cco &D_1+E\Dco F  }w=:\mas{c|c}{\Acl&\Bcl\hl \Ccl&\Dcl}w.}
The closed-loop system is affected by the disturbance input $w$ and responds with the controlled output $z$; these are the signals on which one imposes desired specifications which the controller
should achieve.

Foremost, controllers are required to (internally) stabilize the plant, i.e., they
need to render $\Acl$ Schur.
Next to stabilization, many desired so-called performance properties on the map $w\mapsto z$ are expressed as
$$
\ab{\mat{c}{z\\w},P\mat{c}{z\\w}}_2\leq-\eps\|w\|_2^2
$$
for all $w\in l_2^d$ (where $d$ is the number of components of $w$) and some $\eps>0$. Here $P$ is an indefinite symmetric weighting matrix that is partitioned according to the signals $z$ and $w$ with the properties
$$
P=\mat{cc}{Q&S\\S^T&R},\ \ Q\cge 0\te{and}\det(P)\neq 0.
$$
The celebrated KYP lemma (see e.g. \cite{ZhoDoy96,Ran96})
can be used to show that the controller achieves both tasks iff
there exists a %so-called
Lyapunov matrix $\Xcl$ that satisfies
\eql{glmia}{\arc\Xcl\cg 0,\ \bul^T
%\mat{cc}{\bul\\\bul\hl\bul\\\bul}^T\!\!\!
\mat{cc|cc}{\Xcl&0&0&0\\0&-\Xcl&0&0\hl 0&0&Q&S\\0&0&S^T&R}
\mat{cc}{\Acl&\Bcl\\I&0\hl \Ccl&\Dcl\\0&I}\cl 0.}
Analyzing the desired properties of a fixed controller thus boils down to this convex feasibility test in $\Xcl$.
%Even in the control literature, a multitude of different formulations (and names) have appeared for this result.

%We strongly believe that the presented version is the most insightful one. Just for the purpose of illustration, it encompasses the positive real lemma ($Q=0$, $R=0$, $S=-I$), the bounded real lemma
%($Q=I$, $R=-I$, $S=0$) and any of the many passivity variants in the literature (see e.g. \cite{BroLoz07,Sch00siam}) by just choosing particular matrices $P$. Our formulation also permits to switch to the correct LMIs for systems described by differential equations in continuous-time, simply by substituting
%$$
%\mat{cc}{0&\Xcl\\\Xcl&0}\te{for}\mat{cc}{\Xcl&0\\0&-\Xcl}.
%$$

If synthesizing a controller, we view the parameters of \r{gcon} as additional decision variables. However, \r{glmia} does not impose a convex constraint on both $\Xcl$ and the controller matrices. Despite this trouble, the existence of a controller that achieves    \r{glmia} can still be equivalently expressed as convex constraints.

\theo{\label{Tsyn}Let $U$ and $V$ be matrices whose columns form a basis of $\arc\ker\mat{cc}{C&F}$ and $\arc\ker\mat{cc}{B^T&E^T}$, respectively. Then there exist a controller \r{gcon}
and an $\Xcl$ such that the closed-loop system \r{gcll} satisfies
\r{glmia} iff there exist symmetric matrices $\red{X}$, $\red{Y}$ with
\eql{lmis1}{\arc
\mat{cc}{\red{X}&I\\I&\red{Y}}\cg 0,\
\bul^T
%\mat{cc}{\bul\\\bul\hl\bul\\\bul}^T\!\!
\mat{cc|cc}{
\red{X}&0        &0 &0 \\
0      &-\red{X} &0 &0 \hl
0      &0        &Q &S \\
0      &0        &S^T &R }
\mat{cc}{A&B_1\\I&0\hl C_1&D_1\\0&I}U\cl 0,\
%}\eql{lmis2}{\arc
\bul^T
\mat{cc|cc}{\red{Y}&0&0&0\\0&-\red{Y}&0&0\hld 0&0&\t Q&\t S\\0&0&\t S^T&\t R}
\mat{cc}{I&0\\-A^T&-C_1^T\hl 0&I\\ -B_1^T&-D_1^T}V\cg 0;
%}\eql{lmis3}{
}
here $\t Q$, $\t R$, $\t S$ denote the blocks of the inverse $P^{-1}$.
}

Once the LMIs \r{lmis1} are feasible, a constructive procedure to compute the controller matrices is found in \cite{Gah94}, and the dimension of the resulting state-matrix $\Aco$ equals that of $A$. %does not exceed, and typically equals, that of $A$.

This result essentially appeared in the  seminal work \cite{GahApk94,IwaSke94}
for $Q=I$, $R=-\ga^2I$, $S=0$ related to the so-called $H_\infty$-control problem.
The extensions to general performance indices have been suggested in \cite{MasOha98,SchGah97},
while the current paper is aligned in notation with the exposition in
\cite{Sch00siam,SchWei99}. Here we only use
\eql{QRS}{Q=R=0\te{and}S=I.}
\remark{\label{rem2}
To ensure the existence of a stabilizing controller for \r{gpla},
one should verify that $(A,B)$ is stabilizable and $(A,C)$ is detectable \cite[Section 17.1]{ZhoDoy96}.
}

\section{Convexification of Algorithm Synthesis}
\label{sec_convexification}

\subsection{Algorithm Design by Controller Synthesis}\label{Ssyna}

It is now a natural idea to exploit the general controller synthesis framework in Section \ref{Ssyn} for
algorithm design based on Corollary \ref{Can}.

In order to match \r{lmia} with \r{glmia}, we choose \r{QRS}
and express the state-space description of \r{wcll} as the interconnection of a suitable
plant \r{gpla} in feedback with a controller which is determined through the algorithm parameters. %$\Aalp,\Balp,\Calp,\Dalp$.
In fact, a trivial computation shows that the system \r{keysys} for
$(\Aal,\Bal,\Cal)$ from \r{alg} is obtained as in \r{gpla}-\r{gcll} by the feedback interconnection of the plant
\eql{pla}{\arc
\mat{cc}{\t z\\y}=
\mas{c|ccc}{
\rho^{-1}I_d &\rho^{-1}I_d  &\rho^{-1}mI_d \hl
0            &-I_d          &L\Id-m\Id    \\
I_d          &0             &0             }
\mat{cc}{\t w\\u}}
with the controller
\eql{con}{
u=\mas{c|c}{\rho^{-1}\Aalp&\rho^{-1}\Balp\hl \Calp&\Dalp}y.}
Moreover,
the weighted interconnection \r{wcll} is clearly given by closing the loop with the same controller \r{con} and the following filtered version of \r{pla}:
\eql{wpla}{\arc
\mas{c|cc}{\Af&\Bf&0\hl \Cf(\La)&\Df(\La)&0\\0&0&I_d}
\mas{c|ccc}{
\rho^{-1}I_d &\rho^{-1}I_d  &\rho^{-1}mI_d \hl
0            &-I_d          &L\Id-m\Id    \\
I_d          &0             &0             }=
\mas{cc|ccc}{
\Af      &0            &-\Bf          &\Bf(L-m)       \\
0        &\rho^{-1}I_d &\rho^{-1}I_d  &\rho^{-1}mI_d  \hl
\Cf(\La) &0            &-\Df(\La)     &-\Df(\La)(L-m) \\
0        &I_d          &0             &0              }.
}
Recall that $\Af$ is Schur. Therefore, the structure of $\Acltf$ in \r{wcll} clarifies that
$\rho^{-1}(\Aal+\Bal m\Cal)$ is Schur iff  \r{con} stabilizes \r{wpla}.
%Due to this relation, the matrix $\rho^{-1}(\Aal+\Bal m\Cal)$ is Schur iff \r{con} stabilizes \r{pla}.



For some given $\La\in\Lasr$, we can apply Theorem~\ref{Tsyn} in order to
characterize the existence of algorithm parameters that achieve \r{lmia} for some $\Xc$ as an LMI feasibility test.
However, the joint search over $\La\in\Lasr$ and $\red{X}$, $\Y$ in the resulting inequalities
remains non-convex.
This is a commonly encountered  problem in robust controller synthesis (see e.g.\ \cite{VeeSch14}), and has been also noted for algorithm design in the recent paper \cite{LesSei20}. % \red{Better link to this paper and to RC.}


Our progress over all existing results is to show how to perform such a {\bf simultaneous convex search} in \r{lmia} over the algorithm variables $\Aalp,\Balp,\Calp,\Dalp$, the multiplier parameters $\La$ and the Lyapunov matrix $\Xc$.


\remark{\label{remcon}
Once some $\La\in\Lasr$ has been determined, the corresponding algorithm parameters can be directly determined on the basis of Theorem~\ref{Tsyn} as in \cite{Gah94}. Let us include an important structural remark at this point. All matrices
involved in \r{wpla} and \r{QRS} do admit the Kronecker structure $M\otimes \Id$ with suitable matrices $M$ and
the standard Kronecker product ``$\otimes$''. This makes it possible to work w.l.o.g.\ with
$\red{X}$ and $\Y$ in Theorem~\ref{Tsyn} that admit such a structure, and the steps in \cite{Gah94}
generate algorithm parameters that inherit this structure as well. This so-called dimensionality reduction \cite{LesRec16}
implies that the computational complexity for algorithm design is independent of $d$, and that it generates
algorithms that can be applied for arbitrary dimesions $d\in\N$.
%admit as well such a Kronecker structure.
}






\subsection{Convexification of Operator Formulation}

Recall that the feedback interconnection of \r{pla} and \r{con} is called the closed-loop system. Let us start by showing that
all such closed-loops obtained by stabilizing controllers can be expressed as
\eql{Youla}{
\left\{T_1+T_2\Q T_3 \st \Q\in\cal\Q\right\}}
with the following set of stable systems:
\eql{Q}{
{\cal\Q}:=\left\{\Q=\mas{c|c}{\Aq&\Bq\hl\Cq&\Dq}\st \Aq\text{\ \ is Schur}\right\}.}
For this so-called Youla parametrization we rely on \cite{Fra87,ZhoDoy96} and emphasize that the results directly carry over from continuous-time to discrete-time systems.



\lemm{\label{Lpar}
The set of all systems \r{keysys} parameterized by $\Aalp,\Balp,\Calp,\Dalp$ % $\Aalp$, $\Balp$, $\Calp$, $\Dalp$
and such that $\rho^{-1}(\Aal+\Bal m\Cal)$ is Schur is equal to \r{Youla} where $\si:=Lm^{-1}-1$,
\eqn{
T_1=
\mas{c|cc}{
0&-\rho^{-1} I_d\hl
\si I_d&-I_d},\ \ T_2=L\Id-m\Id,\ \
T_3=\mas{cc|c}{
0            &0    &-\rho^{-1}I_d \\
\rho^{-1}I_d &0    &\rho^{-1}I_d  \hl
0            &I_d  &0             }.
}
Moreover, the correspondence between the algorithm parameters and $\Q$ is given by
$$
\mat{c|c}{\Aalp&\Balp\hl \Calp&\Dalp}=
\mat{cc|c}{
\red{-}m\Dq     &\red{-}m \Cq   &\red{-}m\Dq       \\
\rho \Bq &\rho\Aq &\rho\Bq    \hl
\Dq      &\Cq     &\Dq-m^{-1}I_d }.
$$
}






\proof{In control we associate to a linear system \r{sysm} its so-called
transfer matrix $\Cal(\z I-\Aal)^{-1}\Bal+\Dal$, whose entries are real rational and proper functions in $\z$. A calculation shows that \r{pla} has the transfer matrix
$$\arc
P(\z)=\mat{cc}{P_{11}(\z)&P_{12}(\z)\\P_{21}(\z)&P_{22}(\z)}=
\mat{cc}{-\Id&L\Id-m\Id\\ \frac{1}{\rho \z-1}\Id&\frac{1}{\rho \z-1}m\Id}.
$$
With
$
M(\z)=\t M(\z):=\frac{\rho \z-1}{\rho \z}\Id,\ N(\z)=\t N(\z):=\frac{1}{\rho\z}m\Id
$
we then infer that $P_{22}(\z)=N(\z)M(\z)^{-1}$. With
$
X(\z)=\t X(\z):=\Id,\ \ Y(\z)=\t Y(\z):=-m^{-1}\Id
$
we get the so-called double B\'ezout identity
$$
\mat{cc}{\t X(\z)&-\t Y(\z)\\-\t N(\z)&\t M(\z)}\mat{cc}{M(\z)&Y(\z)\\N(\z)&X(\z)}=I_{2d}.
$$
This permits us to apply \cite[Theorem 1 in Section 4.5]{Fra87}.
Specifically, if defining
\eqn{
T_1(\z)=P_{11}(\z)+P_{12}(\z)M(\z)\t Y(\z)P_{21}(\z),\ \
\bar T_2(\z)=P_{12}(\z)M(\z),\ \ \bar T_3(\z)=\t M(\z)P_{21}(\z),
}
the set of all closed-loop transfer matrices that can be obtained with stabilizing
controllers for \r{pla} is given by
$T_1(\z)+\bar T_2(\z)Q(\z)\bar T_3(\z)$
where $Q(\z)$ varies in the set of all transfer matrices associated to the elements in $\cal \Q$.
Since $M(\z)$ is a multiple of the identity matrix, we infer
$\bar T_2(\z)Q(\z)=P_{12}(\z)Q(\z)M(\z)$ and hence
$T_1(\z)+\bar T_2(\z)Q(\z)\bar T_3(\z)=
T_1(\z)+T_2(\z)Q(\z)T_3(\z)$ with $T_2(\z):=P_{12}(\z)$, $T_3(\z)=M(\z)\t M(\z)P_{21}(\z)$. Now note that
$T_2(\z)=(L-m)\Id$,
\eql{TS}{
T_1(\z)=-\Id-\frac{1}{\rho \z}\si\Id\te{and}
T_3(\z)=\frac{\rho \z-1}{(\rho \z)^2}\Id,
}
which do indeed have the state-space representations as in the lemma.

According to \cite[Theorem 12.17]{ZhoDoy96}, the controller's transfer matrix which corresponds to
$Q(\z)$ is obtained by feedback of the plant with transfer matrix
$$\arc
\mat{cc}{Y(\z)X(\z)^{-1}&\t X(\z)^{-1}\\X(\z)^{-1}&\!\!\!\!{-}X(\z)^{-1}N(\z)}=\mat{cc}{-m^{-1}\Id&\Id\\\Id&\!\!\!\!{-}\frac{1}{\rho \z}m\Id}
$$
and $Q(\z)$. In case that $Q(\z)$ is the transfer matrix of an element in \r{Q},
an elementary calculation shows that the related controller has the state-space description
$$
\mas{cc|c}{
\red{-}\rho^{-1}m\Dq   &\red{-}\rho^{-1}m\Cq  &\red{-}\rho^{-1}m\Dq  \\
\Bq                    &\Aq                   &\Bq                   \hl
\Dq                    &\Cq                   &\Dq-m^{-1}I_d          }.
$$
Matching with \r{con} reveals the relation of $\Q$ with the algorithm parameters as claimed.  \epro
}


Next we note that $\Pi(\La)$, $T_1$, $T_2$, $T_3$ and $\Q$ are all stable, which implies the very same property for
\eql{wclly}{\Pi(\La)(T_1+T_2\Q T_3)}
due to \r{prod} and \r{sum}. Just by combining  Theorem \ref{Trs} with
Lemma \ref{Lpar}, we infer that there exists an algorithm which achieves $\rho$-convergence if there exist $\La\in\Lasr$ and $\Q\in\c\Q$ such that \r{wclly} is SNR.
The key step to convexity is the  parameter change $\Z:=\Pi(\La)T_2\Q$,
as shown in the next lemma.

\newcommand{\tLa}{\red{\tilde\La}}
\newcommand{\bLa}{\red{\bar\La}}

\lemm{\label{Lco}
Let $\bLa:=\mat{ccccc}{0&\cdots&0&I}$ and suppose
that $\bm{\La}$ with $\bLa\in \bm{\La}\subset\Las$ is convex.
Then the following statements are equivalent:
\enu{
\item
$\Pi(\La)(T_1+T_2\Q T_3)$ is SNR for some $\La\in\bm{\La}$, $\Q\in\c\Q$.
\item
$\Pi(\La)T_1+\Z T_3$ is SNR for some $\La\in\bm{\La}$, $\Z\in\c\Q$.}
%Then the following statements are equivalent:
}

%Fix $\red{\t \La}:=\mat{ccccc}{0&\cdots&0&I}$ and let $\bm{\La}\subset\Las$ be any subset such that $\La\in\bm{\La}$ implies $\La+\eps\red{\t \La}\in\bm{\La}$ for all small $\eps>0$. Then the following statements are equivalent:
%there exist $\La\in\bm{\La}$ and $\Q$ as in \r{Q} such that
%$\Pi(\La)(T+\Q S)$ is SNR iff
%there exist $\La\in\bm{\La}$ and $\Q$ as in \r{Q} such that
%there exists $\Q$ as in \r{Q} such that
%$\Pi(\La)T+\Q S$ is SNR.

%{\bf Remark.} The somewhat technical assumption on the subset $\bm{\La}$ involving the feasible direction $\bLa$ is valid for both $\Las$ and $\Lasr$.


\proof{If $\Pi(\La)(T_1+T_2\Q T_3)=\Pi(\La)T_1+\Pi(\La)T_2\Q T_3$ is SNR for some $\Q\in\c\Q$, it suffices to observe that
$\Z:=\Pi(\La)T_2\Q\in\c\Q$ since $\Z$ admits the description
$$
\mas{cc|c}{
\Af         &\Bf(L-m)\Cq       &\Bf(L-m)\Dq      \\
0           &\Aq          &\Bq         \hl
\Cf(\La)    &\Df(\La)(L-m)\Cq  &\Df(\La)(L-m)\Dq }
$$
and $\Af$ as well as $\Aq$ are Schur. Hence 1. implies 2.

To show that 2. implies 1., pick $\La\in\bm{\La}$, $\Z\in\c\Q$ such that
$\ab{w,(\Pi(\La)T_1+\Z T_3)w}_2\leq -\eps\|w\|_2^2$ for all $w\in l_2^d$ and some $\eps>0$.
In a first step, we slightly perturb $\La$ as $\La+\bar\eps\bLa$ in order render $\Df(\La+\bar\eps\bLa)=
\Df(\La)+\bar\eps\Df(\bLa)$ invertible; since $\Df(\bLa)=I$, this is indeed true for all sufficiently small $\bar\eps>0$.
Since $T_1$ is stable, its $l_2$-induced operator norm $\|T_1\|$ is finite.
By $\Pi(\bLa)=I$ we infer
for all $w\in l_2^d$ that
\eqn{
\ab{w,(\Pi(\La+\bar\eps\bLa)T_1+\Z T_3)w}_2=
\ab{w,\Pi(\La)T_1+\Z T_3)w}_2+
\bar\eps\ab{w,T_1w}_2
%\leq-\eps\|w\|_2^2+\ab{w,\bar\eps T_1w}_2\leq(-\eps+\bar\eps\|T_1\|)\|w\|_2^2.
\leq(-\eps+\bar\eps \|T_1\|)\|w\|_2^2.
}
%For this purpose,
%we observe that $\bLa:=\mat{ccccc}{0&\cdots&0&\Id}\in\bm{\La}$ because of $\bLa\in\Lasr$, and that
%$\Pi(\La+\bar\eps\bLa)=\Pi(\La)+\bar\eps \Id$ for any $\bar\eps\in\R$.
%Now note that the
%$l_2$-induced norm $\|T_1\|$ of the operator $T_1$ is finite by stability; thus,
%for all $w\in l_2^d$,
%\mun{
%\ab{w,(\Pi(\La+\bar\eps\bLa)T_1+\Z T_3)w}_2\leq\\
%\leq-\eps\|w\|_2^2+\ab{w,\bar\eps T_1w}_2\leq(-\eps+\bar\eps\|T_1\|)\|w\|_2^2.
%}
All this permits us to fix some small $\bar\eps\in(0,1)$ such that
$\tLa:=\La+\bar\eps\bLa\in\bm{\La}$ (convexity), $\Df(\tLa)$ is invertible and $\Pi(\tLa)T_1+\Z T_3$ stays SNR.
%The perturbation
%serves to make sure that $\Df(\tLa)e=\Df(\La)e+\bar\eps e\geq \bar\eps e>0$;  since the off-diagonal elements of
%$\Df(\tLa)$ are non-positive, it is strictly diagonally dominant  and, hence, invertible.
Therefore, $\Pi(\tLa)^{-1}$ exists and can be expressed as
$$\arc
\mas{c|c}{\t\Af&\t\Bf\hld \t\Cf&\t\Df}:=
\mas{c|c}{
\Af-\Bf\Df(\tLa)^{-1}\Cf&\Bf\Df(\tLa)^{-1}\hld
-\Df(\tLa)^{-1}\Cf&\Df(\tLa)^{-1}}.
$$
Next we show that $\t\Af$ is Schur. To this end we fix $\delta:=\frac{L-m}{2}\in(0,L-m)$ and the map $g(x):=\frac{1}{2}\delta x^Tx$.
Then Lemma \ref{Liqc} is valid for the full class $\Las$ \cite{MicSch20}, and thus as well for $\tLa$. If $\ch z\in l_2^d$, we note that \r{grag} just gives $\ch w=\delta \ch z$ and we get $\t z=(L-m)\ch z-\delta\ch z=\delta\ch z$ in \r{sit}; by Lemma \ref{Liqc} we hence conclude $\langle \Pi(\tLa)\ch z,\ch z\rangle_2\geq 0$ for all $\ch z\in l_2^d$; this shows
$\langle \Pi(\tLa)z,z\rangle=\ab{\Pi(\La)z,z}_2+\bar\eps\ab{\Pi(\bLa)z,z}_2\geq \bar\eps\|z\|_2^2$ for all $z\in l_2^d$. Since $\Af$
is Schur and $-\Pi(\La)$ with a state-space description in terms of $(\Af,\Bf,-\Cf(\tLa),-\Df(\tLa))$ is SNR,
Lemma \ref{Lpr} shows that there exists some $X\cg 0$ with
\eql{lmi1}{\arc
%\mat{cc}{\Af&\Bf\\I&0\hl \Cf(\La)&D_\eps\\0&I}^T
\bul^T
\mat{cc|cc}{X&0&0&0\\0&-X&0&0\hl 0&0&0&I\\0&0&I&0}
\mat{cc}{\Af&\Bf\\I&0\hld -\Cf(\tLa)& -\Df(\tLa)\\0&I}\cl 0.
}
Now we exploit again that $\Df(\tLa)$ is invertible and perform a congruence transformation of \r{lmi1} with
\eqn{%\arc
%\mat{cc}{\Af&\Bf\\I&0\hl \Cf(\La)&D_\eps\\0&I}^T
\mat{cc}{I&0\\-\Df(\tLa)^{-1}\Cf(\tLa)&\Df(\tLa)^{-1}}
\te{to get}
\bul^T
\mat{cc|cc}{X&0&0&0\\0&-X&0&0\hl 0&0&0&I\\0&0&I&0}
\mat{cc}{\t \Af&\t \Bf\\I&0\hl 0& -I\\\t\Cf&\t \Df}\cl 0.
}
By inspection, the left-upper block of this inequality reads $(\t\Af)^TX\t\Af-X\cl 0$.
Because of $X\cg 0$ we infer that $\t\Af$ is indeed a Schur matrix.

Since $T_2$ just is a real invertible matrix, we can define $\Q:=T_2^{-1}\Pi(\tLa)^{-1}\Z$.
We infer $\Q\in\c\Q$, again just by using \r{prod}. Moreover, $\Pi(\tLa)(T_1+T_2\Q T_3)=\Pi(\tLa)T_1+\Z T_3$ shows that
$\Pi(\tLa)(T_1+T_2\Q T_3)$ is SNR.
\epro }

Corollary~\ref{Can} combined with Lemma~\ref{Lpar}
and Lemma~\ref{Lco} for $\bm{\La}:=\Lasr$
leads to the following result.

\coro{With $\rho\in(0,1)$, there exists an algorithm whose convergence rate is bounded as
$\rwc\leq\rho$ if there exist
$\La\in\Lasr$ and $\Z\in\c\Q$ such that $\Pi(\La)T_1+\Z T_3$ is SNR.}

Both $\Lasr$ and $\c\Q$ are convex and $\Pi(\La)T_1+\Z T_3$ is affine in $\La$ and $\Z$. Since the SNR property is a convex constraint, we have shown that the algorithm design problem is indeed convex as a feasibility problem over the infinite dimensional space $\Lasr\times \c\Q$.

\subsection{Algorithm Synthesis by LMIs}\label{Salgsyn}

Testing whether there exist $\La\in\Lasr$ and $\Z\in\cal\Q$ for which $\Pi(\La)T_1+\Z T_3$ is SNR can even be turned into
a finite dimensional convex feasibility problem. Towards this end, we represent $\Z\in\c\Q$ as
\eql{con3}{
\Z=\mas{c|c}{\Az&\Bz\hl\Cz&\Dz}
}
and use \r{gpla}-\r{gcll} to see that
$\Pi(\La)T_1+\Z T_3$ results from the feedback interconnection of the plant \r{gpla}
with the controller $u=\Z y$ for
\equ{\label{sys3}
\mat{c|c|c}{A&B_1&B\hl C_1(\La)&D_1(\La)&E\hl C&F&0}:=%\\
\arc
\mat{ccc|c|c}{
\Af           &\Bf\si       &0               &-\Bf                 &0    \\
0             &0            &0               &-\rho^{-1}\Id        &0    \\
0             &\Id          &0               &\rho^{-1}\Id         &0    \hl
\Cf(\La)      &\Df(\La)\si  &0               &-\Df(\La)            &L\Id-m\Id  \hl
0             &0            &\Id             &0                    &0     }.
}
This viewpoint permits us to derive an LMI solution for the algorithm synthesis problem based on
Theorem \ref{Tsyn}, our second main result. The relevant LMIs can be more compactly expressed by using
%, in view of $\Af\in\R^{ld\times ld}$,
the selection matrix
$$
\sel:=\mat{cc}{I_{\dim(\Af)}&0\\0&I_d\\0&0}.
$$


\theo{\label{Tsynlmi}There exists some $\La\in\Lasr$ and a controller \r{con3} such that $\Az$ is Schur and
$\Pi(\La)T_1+\Z T_3$ is SNR iff there exist $\red{X}$ and $\La$ satisfying
\gat{\label{syn1}
\La\in\Lasr,\ \ \red{X}\cg 0\te{and}
%\arc\label{syn2}
\bul^T\mat{cc|cc}{\red{X}&0&0&0\\ 0&-\red{X}&0&0\hl  0&0&0&\Id\\0&0&\Id&0}
\mat{ccc}{A\sel &B_1\\\sel &0\hl C_1(\La)\sel&D_1(\La)\\0&\Id}\cl 0.
}
If the LMIs \r{syn1} are feasible, there exists an algorithm whose convergence rate is bounded as $\rwc\leq\rho$.
}

\proof{Let us abbreviate the interconnection \r{con3}-\r{sys3} as determined according to \r{gcll} by
\eql{cll3}{
z=\mas{c|c}{\Acltf&\Bcltf\hld \Ccltf(\La)&\Dcltf(\La)}w
}
(which is an abuse of notation since the matrices differ from those in \r{wcll}).
Since $B$ in \r{sys3} is zero, $\Az$ is Schur iff $\Acltf$ is Schur. Therefore, $\Az$ is Schur and \r{con3}-\r{sys3} is SNR iff there exists some $\Xc\cg 0$ with
\r{lmia}. To apply Theorem \ref{Tsyn}, we choose the basis matrices
$$\arc
U:=\mat{ccc}{I_{\dim(\Af)}&0&0\\0&I_d&0\\0&0&0\\0&0&I_d},\ \
V:=\mat{ccc}{I_{\dim(\Af)}&0&0\\0&I_d&0\\0&0&I_d\\0&0&0}
$$
of $\ker\mat{cc}{C&F}$, $\ker\mat{cc}{B^T&E^T}$, respectively.
Then the second LMI in \r{lmis1} is just identical to third one in \r{syn1}; since the first LMI in \r{lmis1} implies $\red{X}\cg 0$, ``only if'' follows directly.

To show ``if'', let \r{syn1} hold. By the particular choice of $V$, the third inequality in \r{lmis1}
simplifies to
$\red{Y}-A\red{Y}A^T\cg 0$.
Since $A$ is Schur, we can take $\red{Y_0}\cg 0$ with $\red{Y_0}-A\red{Y_0}A^T=I$ and thus
obtain for any $\al>0$ a solution $\al\red{Y_0}$ of the third LMI in \r{lmis1}. Since $\red{X}\cg 0$, we can certainly find some large $\al_0>0$ such that $\red{Y}=\al_0\red{Y_0}$ also satisfies the first LMI in \r{lmis1}. Applying theorem \ref{Tsyn} completes the proof.\epro}
%\eql{lmis2a}{
%\red{Y}-A\red{Y}A^T\cg 0.
%%\mat{cc}{I\\-A^T}^T
%%\mat{ccc|cc}{\red{Y}&0\\0&-\red{Y}}
%%\mat{cc}{I\\-A^T}\cg 0.
%}

Like for algorithm analysis, the left-hand side of \r{syn1} constitute LMI constraints on $\red{X}$ and $\La$.
Feasibility of these LMIs is equivalent to the existence of $\Aalp,\Balp,\Calp,\Dalp$, $\La\in\Lasr$ and $\Xc$ with \r{lmia}, which is the desired convexification of algorithm synthesis, one of the main goals of this paper.


Let us now establish that one can even eliminate the unknown $\red{X}$ in Theorem~\ref{Tsynlmi}.

\coro{\label{Cpick}
Let $R:=\sum_{k=0}^l \rho^k(\Lai{k}Lm^{-1})$
for fixed $\La\in\Lasr$. Then there exists $\red{X}$ with \r{syn1} iff
\eql{lmiLa}{\arc
\mat{cc}{
\frac{1}{1-\rho^2}(R^T+R)&R^T+\Lai{0}\\
R+\LaiT{0}&\LaiT{0}+\Lai{0}}\cg 0.
}
}
\proof{Note that the last LMI in \r{syn1} is a generalized Stein inequality
\eql{st1}{\arc
\bm{A}^T\red{X}\bm{A}-\bm{E}^T\red{X}\bm{E}+\bm{C}^TN\bm{C}\cl 0\text{\ where\ }
\mat{c}{\bm{A}\\\bm{E}\\\bm{C}}:=
\mat{ccccc}{
\Af           &\Bf\si              &-\Bf                  \\
0             &0                &-\frac{1}{\rho}\Id  \\
0             &\frac{1}{\rho}\Id              &\frac{1}{\rho}\Id               \hl
I_{\dim(\Af)}        &0                &0                     \\
0             &\Id              &0                     \\
0             &0                &0                     \hl
\Cf(\La)      &\Df(\La)\si         &-\Df(\La)             \\
0             &0                &\Id                   },\ N:=\arc\mat{cc}{0&\Id\\\Id&0}.
}
%and $\footnotesize N=\arc\mat{cc}{0&\Id\\\Id&0}$.% and
%$$
%\mat{c}{\bm{A}\\\bm{E}\\\bm{C}}:=
%\mat{ccccc}{
%\Af           &\Bf\si              &-\Bf                  \\
%0             &0                &-\frac{1}{\rho}\Id  \\
%0             &\frac{1}{\rho}\Id              &\frac{1}{\rho}\Id               \hl
%I_{\dim(\Af)}        &0                &0                     \\
%0             &\Id              &0                     \\
%0             &0                &0                     \hl
%\Cf(\La)      &\Df(\La)\si         &-\Df(\La)             \\
%0             &0                &\Id                   }.
%$$
We start by determining a congruence transformation on \r{st1} in order to render
$\bm{A}$ diagonal. If $U$ is chosen to satisfy the Sylvester equation
\gat{\label{sy1}
\Af U-U(\mbox{$\frac{1}{\rho}$}\Id)+\Bf(1+\si)=0,
}
we indeed have
$$
P^{-1}\bm{A}Q={\bm{\bar A}}:=
\mat{ccc}{\Af&0&0\\0&\frac{1}{\rho} \Id&0\\0&0& -\Id},\
P^{-1}\bm{E}Q=\bm{E}\te{for}
P:=\mat{ccc}{I&U&{\Bf}\\0&\Id &\frac{1}{\rho}\Id \\0&0& -\frac{1}{\rho}\Id },\ %\te{and}
Q:=\mat{ccc}{I&U&0\\0&\Id &0\\0&-\Id & \Id }.
$$
A congruence transformation of \r{st1} with $Q$ leads to
\eql{st2}{
\bm{\bar A}^T\red{\bar X}\bm{\bar A}-\bm{E}^T\red{\bar X}\bm{E}+\bm{\bar C}^TN\bm{\bar C}\cl 0
\te{where}\red{\t X}:=P^T\red{X}P,\ \
\bm{\bar C}:=\bm{C}Q=
\mat{ccccc}{
\Cf(\La)      &R       &-\Df(\La)             \\
0             &-\Id    &\Id                      },
}
and
$%\equ{\label{T1}
R:=\Cf(\La)U+\Df(\La)(1+\si).
$
By \r{sy1} we have
$U=(\mbox{$\frac{1}{\rho}$}\Id-\Af)^{-1}\Bf(1+\si)$ and hence we get
$
R=[\Cf(\La)(\mbox{$\frac{1}{\rho}$}\Id -\Af)^{-1}\Bf+\Df(\La)](1+\si).
$
Due to \r{fil} and $\si+1=Lm^{-1}$, this indeed matches with the definition of $R$ in the corollary.

To show ``only if'' let $\red{X}$ satisfy \r{syn1}. Then
$\red{\t X}:=P^T\red{X}P\cg 0$ satisfies \r{st2}. Its
right-lower $2d\times 2d$-block is denoted as $\red{Y}$
and still positive definite. Canceling the first block row/column of \r{st2}
gives
\equ{\label{st3}\arc
\mat{ccccc}{
\frac{1}{\rho}I               &0                    \\
0                             &-I      }^T
\mat{cc}{\red{Y_{11}}&\red{Y_{12}}\\\red{Y_{21}}&\red{Y_{22}}}
\mat{ccccc}{
\frac{1}{\rho}I                  &0                    \\
0                                &-I      }
-
\mat{cc}{\red{Y_{11}}&0\\0&0}
+%\\+
\mat{cc}{
-R^T-R&R^T+\Df(\La)\\
R+\Df(\La)^T&-\Df(\La)^T-\Df(\La)}\cl0.}
With a sign-change in the off-diagonal blocks and if recalling $\Df(\La)=\Lai{0}$, this is equivalent to
\eql{st4}{\arc
\mat{cc}{
%(1-\rho^2)
%[\frac{1}{1-\rho^2}(
R^T+R-\frac{1-\rho^2}{\rho^2}\red{Y_{11}}
%R^T+R+\red{Y_{11}}-\frac{1}{\rho^2}\red{Y_{11}}
&R^T\!+\!\Lai{0}\!-\!\frac{1}{\rho}\red{Y_{12}}\\
R+\LaiT{0}-\frac{1}{\rho}\red{Y_{21}}&\LaiT{0}+\Lai{0}-\red{Y_{22}}}\cg 0.
}
If $H:=R^T+R-\frac{1-\rho^2}{\rho^2}\red{Y_{11}}\cg 0$ is the left-upper block in here, we infer from $\rho\in(0,1)$
that
$
\frac{1}{1-\rho^2}(R+R^T)-\frac{1}{\rho^2}\red{Y_{11}}=
\frac{1}{1-\rho^2}H\cg H.
$
By $\tiny\arc
\mat{cc}{
\frac{1}{\rho^2}\red{Y_{11}}&\frac{1}{\rho}\red{Y_{12}}\\
\frac{1}{\rho}\red{Y_{21}}&\red{Y_{22}}}\cg 0$, the inequality
\r{st4} hence implies \r{lmiLa}.
%\eql{st5}{
%\mat{cc}{
%\frac{1}{1-\rho^2}(R^T+R)&R^T+\Df(\La)\\
%R+\Df(\La)^T&\Df(\La)^T+\Df(\La)}\cg0.
%}
%It remains to recall \r{R} and, thus, $R=\sum_{k=0}^l \rho^k\Lai{k}\ka$ as well as $\Df(\La)=\Lai{0}$  in order to see
%that \r{st5} is identical to \r{lmiLa}.
%This finishes the proof of ``only if''.

To prove the converse, let \r{lmiLa} hold and define
$$
\red{Y}:=
\mat{cc}{
\frac{\rho^2}{1-\rho^2}(R^T\!\!+\!R\!-\!\eps I)&\rho(R^T+\Lai{0})\\
\rho(R+\LaiT{0})&\LaiT{0}\!\!+\!\Lai{0}-\eps I};
$$
here we can choose so small $\eps>0$ that $\red{Y}$ is positive definite. Moreover,
$\red{Y}$ obviously satisfies \r{st4} and thus \r{st3}. Since $\Af$ is Schur, we can choose $\red{\bar X_0}\cg 0$ with $\Af^T\red{\bar X_0}\Af-\red{\bar X_0}=-I$. Let us then define
$
\red{\bar X}:=\diag(\al\red{\bar X_0},\red{Y})\cg 0\te{with}\al>0
$
and consider $\bm{\bar A}^T\red{\bar X}\bm{\bar A}-\bm{E}^T\red{\bar X}\bm{E}+\bm{\bar C}^TN\bm{\bar C}$;
its right-lower $2d\times 2d$-block equals \r{st3} and is, therefore, negative definite; moreover, $\al$ only affects the left-upper block of this matrix, which actually just equals
$\Af^T(\al\red{\bar X_0})\Af-(\al\red{\bar X_0})=-\al I$; therefore, we can fix a sufficiently large $\al>0$ to make sure that $\red{\bar X}\cg 0$ satisfies \r{st2}. Then $\red{X}:=P^{-T}\red{\bar X}P^{-1}\cg 0$ is a solution of \r{st1} and hence of \r{syn1}, which finishes the proof.\epro}

\remark{\label{rem3}
Note that Corollary \ref{Cpick} can be linked to a beautiful mathematical approach for
solving $H_\infty$- and SNR-synthesis problems based on Nevanlinna-Pick interpolation (see e.g. \cite{LimAnd88,Kim89}). In fact,
Theorem \ref{Tsynlmi} concerns $\Pi(\La)T_1+\Z T_3$ in which $T_3$ is a stable system with as many inputs as outputs.
The related SNR-synthesis problem is classically said to be of the one-block type. It is also known that the
unstable zeros of the transfer matrix of $T_3$ play a key role in characterizing its solvability. Due to
\r{TS}, these are given by
$
z_1=\rho^{-1}\te{and}z_2=\infty.
$
As it turns out after a simple computation, -\r{lmiLa} is nothing but the so-called Pick matrix
\eql{pick}{
\mat{cc}{
\frac{H(z_1)^*+H(z_1)}{1-\bar z_1^{-1}z_1^{-1}}&\frac{H(z_1)^*+H(z_2)}{1-\bar z_1^{-1}z_2^{-1}} \\[1.5ex]
\frac{H(z_2)^*+H(z_1)}{1-\bar z_2^{-1}z_1^{-1}}&\frac{H(z_2)^*+H(z_2)}{1-\bar z_2^{-1}z_2^{-1}} }
}
where $H$ denotes the transfer matrix of $\Pi(\La)T_1$ (with the definition in \cite{ByrGeo01} which permits zeros at infinity).
%Then there exists some $\Z\in\c \Q$ such that $H+\Z T_3$ is SNR iff \r{pick} is negative definite.
%A straightforward computation reveals that $-\r{pick}$ is nothing but the matrix appearing in \r{lmiLa}.}
%We are not aware of any direct proof of this interpolation result via the now popular LMI approach to controller synthesis.
}
For the particular class of multipliers \r{Cpick}, we can even go one step further and explicitly characterize the set of those
parameters $\rho$ for which LMI \r{lmiLa} is feasible.

\coro{\label{Cexp}Let $\ka:=Lm^{-1}$ and $\le\geq 1$. Then there exists some $\La\in\Lasr$ with \r{lmiLa} iff $1-\frac{1}{\sqrt{\kappa}}<\rho$.}


\proof{In view of the Kronecker product structure of the elements in $\Lasr$ and homogeneity of \r{syn1}, we can fix  $\lai{0}=1$ and express \r{lmiLa} as
\eql{lmi2}{
\mat{cc}{
\frac{2\ka}{1-\rho^2}(1+\sum_{k=1}^l \rho^k\lai{k})&\bul\\
1+\ka(1+\sum_{k=1}^l \rho^k\lai{k})&2}\cg 0.
}
If we set $\al:=\frac{1+\rho}{1-\rho}>1$, we infer that
$
\mat{cc}{
\frac{2}{1-\rho^2}\be&1+\be\\
1+\be&2}\cg 0\te{iff}\be\in\left(\al^{-1},\al\right).
$
Moreover, since $\le\geq 1$, one can check that
$
\left\{
1+\sum_{k=1}^l \rho^k\lai{k}\st
1+\sum_{k=1}^l \rho^{-k}\lai{k}\geq 0,\ \lai{k}\leq 0\right\}
$
is the interval $[1-\rho^2,1]$; this set is compact and convex; the maximum is $1$ and the minimum is
computed by dualization of the corresponding linear program.
Taken together, \r{syn1} is feasible iff %the intersection
$
\left(\al^{-1},\al\right)\cap[\kappa(1-\rho^2),\kappa]
$
is not empty. The infimal $\rho\in(0,1)$ for which this is true is determined by the equation
$\frac{1+\rho}{1-\rho}=\kappa(1-\rho^2)$, which indeed gives $1-1/\sqrt{\kappa}$. \epro}


If using Zames-Falb multipliers of any length $\le\geq1$ to certify convergence,
Corollary~\ref{Cexp} means that $1-\frac{1}{\sqrt{\kappa}}$ is the optimal rate
that is achievable among all algorithms \r{nl}.
In view of \cite{ScoFre18}, this proves for the first time that the triple momentum algorithm
is guaranteed to be optimal even if allowing for Zames-Falb multipliers of length $\le>1$.
This also clarifies why various attempts
to improve the rate by manual tuning \cite{LesRec16} or sum-of-squares optimization \cite{FazMor18} of the algorithm parameters were not successful.
Our computation of an explicit optimal rate-bound for design is analogous to what has been achieved for the analysis of Nesterov's algorithm in \cite{SafJos18}. Our approach brings out the intrinsic system theoretic reasons for the limits of performance in algorithm design;
this holds for both the value of the optimal rate (determined by two zeros of some transfer matrix), and for the insight
that algorithms \r{nl} with matrices $\Aal$ of dimension larger than two are not beneficial. All this is a consequence
of systematically formulating algorithm design as a controller synthesis problem for the plant \r{pla}.

\subsection{An extension with a numerical example}\label{Sfmul}

We emphasize that our algorithm design approach is more powerful than just proving Corollary~\ref{Cexp}.
This is illustrated by following \cite{GraEbe20} and showing how one can exploit additional structural knowledge about the cost functions. Specifically,
for given matrices $M_f,L_f\in\R^{d\times d}$ with $0\cl M_f\cl L_f$, we consider the class
$\c F$ of functions $f\in C^2(\R^d,\R)$ satisfying
\eql{class}{M_f\cle \nabla^2f(x)\cle L_f\te{for all}x\in\R^d.}
One could take the triple momentum algorithm and achieve the convergence rate
\eql{ka}{1-\frac{1}{\sqrt{\ka}}\te{for}
\kappa=\frac{\la_{\max}(L_f)}{\la_{\min}(M_f)}.}
Instead, we can as well design algorithms based on the matrices $M_f$ and $L_f$ by solving a suitable LMI system.
For this purpose, we introduce
$
T:=(L_f-M_f)^{-\frac{1}{2}}
$
and define \r{sys3} by replacing
\eql{mLs}{
(m\Id,L\Id,\si)\te{with}(M_f,L_f,L_fM_f^{-1}-\Id).
}
We then arrive at the the following convex algorithm design result for the class $\c F$.
\theo{\label{Tsynlmi2}One can construct an algorithm which achieves the convergence rate
$\rho\in(0,1)$ for the class $\c F$ if there exist $\La\in T\Lasr T^T$ and
$\red{X}\cg 0$ which satisfy the LMI \r{syn1}.
}

\proof{We first observe that all insights in Section~\ref{Sstr} remain valid after the substitution \r{mLs}. We argue
that the same holds for Sections~\ref{Sana} and \ref{Siqc} with $\Gclt$ constructed based on \r{mLs}.
To this end let $f\in\c F$ be taken with $\nabla f(0)=0$ and
define
$g(z):=f(Tz)-\frac{1}{2}(Tz)^TM_f(Tz)$
to infer
$\nabla^2g(z)=T^T\nabla^2f(Tz)T-T^TM_fT$ and thus
$
0\cle \nabla^2 g(z)\cle  T^T(L_f-M_f)T=I\text{ for all }z\in\R^n.
$
Hence $g\in\c{S}_{0,1}$.
With the transformations $\bar  w:=T^Tw$ and $\bar  z:=T^{-1}z$
in \r{nl} we obtain
$$
\bar  w=\nabla g(\bar  z),\ \ \bar  z=\mas{c|c}{\Aal+\Bal M_f\Cal&\Bal T^{-T}\hld  T^{-1}\Cal&0}\bar  w.
$$
By just following the line of reasoning in Sections \ref{Sana} and \ref{Siqc}, Theorem~\ref{Trs} holds for the convergence rate $\rwc$ with respect to $\c F$ if replacing \r{keysys} with
$$
\mas{c|c}{\rho^{-1}(\Aal+\Bal M_f\Cal)&\rho^{-1}\Bal T^{-T}\hl (1-0)T^{-1}\Cal&-\Id};
$$
observe that we use $g\in\c{S}_{0,1}^0$ at this point. Since
$T^{-1}=T^T(L_f-M_f)$, this can be expressed as
$$
T^T\Gclt T^{-T}\te{with}\Gclt:=\mas{c|c}{\rho^{-1}(\Aal+\Bal M_f\Cal)&\rho^{-1}\Bal\hl (L_f-M_f)\Cal&-I_d}.
$$
Theorem~\ref{Trs} involves $\Pi(\La)T^T\Gclt T^{-1}$ being stable and SNR, which is equivalent to the same
conditions for the congruence transformed system $T\Pi(\La)T^T\Gclt$ and hence for $\Pi(T\La T)\Gclt$; here $T\Pi(\La)T^T=\Pi(T\La T^T)$ is shown with \r{fil} and a suitable state-coordinate change. All this reveals that Corollary \ref{Can} persists to hold for the class
$\c F$ if replacing $\Lasr$ with $T\Lasr T^T$. The proof is then concluded as that of Theorem \ref{Tsynlmi}.\epro
}
\begin{figure}\center
%\tikzset{every path/.style={rounded corners=0}}
%\input{fig1.tex}
{\includegraphics[width=0.45\textwidth,trim=20 15 20 15,clip=true]{fig2}}
\caption{Optimal algorithm convergence rates versus condition number $\ka$ in \r{ka} for example in \cite{MicSch20}:
Triple momentum (blue), Theorem~\ref{Tsynlmi2} for $\Lasr$ (yellow) and Theorem~\ref{Tsynlmi2} for $\Las$ (purple).
}
\label{fign1}
\end{figure}
\tikzset{every path/.style={rounded corners}}



Once having determined some $\Laopt \in T\Lasr T^T$ for which the LMIs \r{syn1} in $\red{X}$ are feasible,
one can find related algorithm parameters $\Aalp,\Balp,\Calp,\Dalp$ as sketched in Section~\ref{Ssyna}. Moreover, the comments on dimensionality reduction carry over to the situation that $L_f-M_f$ (and hence $T$) are block-diagonal.


A concrete instance of the current setup are functions
$$f(x)=\frac{1}{2}x^TRx+h(Sx-s)\te{for}x\in\R^d$$ with given $R\in\R^{d\times d}$, $S\in \R^{e\times d}$, $s\in\R^e$ and any
$h\in\cS\cap C^2(\R^e,\R)$ where $R$ is positive definite.
Indeed, since $\nabla^2f(x)=R+S^T\nabla^2h(Sx-s)S$, we infer that \r{class} holds
with any small $\eps>0$ for
$$
M_f:=R+S^TmS-\eps I\te{and}L_f:=R+S^TLS.
$$
As motivated in \cite{MicSch20}, such cost functions  appear in model predictive control if handling
the constraint $Sx\leq s$ with a relaxed barrier function $b\in\cS\cap C^2(\R,\R)$ for the set $\{x\in\R\st x\leq 0\}$.
This results in the choice $h(x)=\sum_{i=1}^e b(x_i)$ with $\nabla h(x)=\col(b'(x_1),\ldots,b'(x_e))$, a so-called diagonally repeated nonlinearity. One can exploit this extra structure by using the full multiplier class $\Las$ instead of $\Lasr$
in Theorem~\ref{Tsynlmi2}; a proof relies on \cite[Theorem 9]{MicSch20} and the fact that Lemma~\ref{Lco} also applies to  $\bm{\La}=\Las$.
This offers yet another possibility for reducing conservatism in algorithm design.

We pick up the numerical example from \cite[Section 6.2]{MicSch20} for the latter class.
Figure~\ref{fign1} depicts the convergence rates of the triple momentum algorithm (blue), the structure exploiting algorithm from Theorem~\ref{Tsynlmi2} with repeated (yellow) and full multipliers (purple). In contrast to
\cite{MicSch20} (relying on non-convex design algorithms), we get identical rates for the two multiplier classes with our convex design algorithms.



\section{Generalization: Extremum Control}
\label{sec5}

%\subsection{Problem formulation}

\begin{figure}
\cen{
\begin{tikzpicture}[xscale=1,yscale=1]
\def\dl{5ex}
\node[sy3] (g1) at (0,0)  {$G_1$};
\coordinate[right=4*\dn of g1] (j);
\node[sy3,below=\dl of g1] (g2) at (0,0)  {$G_2$};

\node[sy3, left=\dl of g1] (f)  {$\nabla f$};
%\node[sy3, left=3*\dl of g1] (int)  {$H$};%\mas{c|c}{I&I\hl I&0}$};
\node[sy3, left=3*\dl of g1] (k1)  {$K_1$};%\mas{c|c}{I&I\hl I&0}$};
\node[sy3, left=3*\dl of g2] (k2)  {$K_2$};%\mas{c|c}{I&I\hl I&0}$};
\node[sum, left= 3*\dn of k1] (s) {$+$};

\draw[->] (g1) -- node[]{$z$}  (f);
\draw[->] (f) --  node[]{$w$}  (k1);
%\draw[->] (int) -- node[]{$y_1$}   (k1);
\draw[->] (k1) --  (s);
\draw[->] (g2) -- node[pos=.84]{$v$} (k2);
\draw[->] (k2) -| (s);
\draw[-] (s.north) -- node[]{$u$} ([yshift=4*\dn] s.north) -| (j);% -- node[pos=.2,swap]{$q$}  (la.west);
\draw[->] (j) -- (g1);
\draw[->] (j) |- (g2);


%\draw[->] ([xshift=-\dl] i1.west) |- (k2);
%\draw[->] (g) -| node[near end]{$w$} (s);
%\draw[->] (la) -- node[]{$p$}  (i2);
%\draw[->] (k2.west) -- ([xshift=-\dl] k2.west) |- node[pos=.2,swap]{$q$}  (la.west);
%\draw[->] (sys.west) -- ([xshift=-\dl] sys.west)   |- node[pos=.3]{$z$} (g.west); %node[] {$z$}
\end{tikzpicture}\hspace{10ex}
\begin{tikzpicture}[xscale=1,yscale=1]
\def\dl{5ex}

%\node[sy3, ] (f)  {$G$ };
\node[sy3] (g) at (0,0)  {$G$};
\node[sy3,above =2*\dn of g] (f) {$\nabla f$};
\coordinate[right=4*\dn of g1] (j);
%\node[sy3,below=\dl of g1] (g2) at (0,0)  {$$};
%\node[sy3, left=3*\dl of g1] (int)  {$H$};%\mas{c|c}{I&I\hl I&0}$};
\node[sy3, left=1*\dl of g] (h)  {$H_d$};%\mas{c|c}{I&I\hl I&0}$};
\node[sy3, left=1*\dl of h] (k)  {$\bar K$};%\mas{c|c}{I&I\hl I&0}$};
%\coordinate[left=4*\dn of k1] (s);
%\node[jun, left= 3*\dn of k1] (s) {};

\draw[->] (g) -- (h);
\draw[->] (h) -- node[]{$y$}  (k);
%\draw[->] (f) --  node[]{$w$}  (g);
%\draw[->] (int) -- node[]{$y_1$}   (k1);
%\draw[->] (k1) --  (s);
%\draw[->] (g2) -- node[pos=.84]{$v$} (k2);
%\draw[->] (k2) -| (s);
\draw[->] (k) -- node[]{$u$} ([xshift=-4*\dn] k.west) |-  node[pos=.95]{$z$} (f);
\draw[->] (f) -- node[pos=.5]{$w$} ([xshift=4*\dn] f.east) |- (g);

%-- node[]{$u$} ([xshift=-4*\dn,yshift=4*\dn] k1.west) -| ([xshift=4*\dn] g1.east) -- (g1) ;% -- node[pos=.2,swap]{$q$}  (la.west);
%\draw[->] (j) -- (g1);
%\draw[->] (j) |- (g2);


%\draw[->] ([xshift=-\dl] i1.west) |- (k2);
%\draw[->] (g) -| node[near end]{$w$} (s);
%\draw[->] (la) -- node[]{$p$}  (i2);
%\draw[->] (k2.west) -- ([xshift=-\dl] k2.west) |- node[pos=.2,swap]{$q$}  (la.west);
%\draw[->] (sys.west) -- ([xshift=-\dl] sys.west)   |- node[pos=.3]{$z$} (g.west); %node[] {$z$}
\end{tikzpicture}
\caption{Extremum Control: Optimization of the output of $G_1$ (left) or that of $\bar K$ (right).}
\label{fig2}
}
\end{figure}


We now demonstrate that the proposed framework and the accompanying convexification result have a much wider scope than presented so far. They permit to systematically design optimization and learning algorithms with optimal convergence rates, even
with the presence of additional dynamics in the feedback loop.
Such dynamics may represent, for example, a model of a communication channels in optimization problems over networks, a noise filter if only a noisy gradient is available, the dynamics of a robot in a source seeking problem, or the dynamic properties of a hardware architecture like in neuromorphic computing.
%(Federated Learning of a Mixture of Global and Local Models, SGD with variance reduction)...)
A particularly nice scenario is extremum control as conceptually mentioned in \cite{AstWit89}. For a given system and a cost function, the goal is to design a controller that drives some system output to a steady-state in which the cost is minimal.


%From now on we deviate from the tutorial character of the article and use further standard concepts from system theory, in particular  concerning the link of state-space and operator representations.

Among the many concrete instantiations of extremum control, we concentrate on the case where some linear system is given, the cost function $f$ is only known to belong to the class $\cS$, and the gradient of the cost function can be evaluated  \cite{MicEbe16a,NelMal18,LawSim18}.
To be concrete, we assume that the system is described as
%\eql{syse}{
%z=\underbrace{\mas{c|c}{A_z&B_z\hl C_1&D_1}}_{G_1}u,\ \
%v=\underbrace{\mas{c|c}{A_2&B_2\hl C_2&0}}_{G_2}u.%\te{or}\mat{c}{z\\y}=Gu=\mat{c}{G_1\\G_2}u.
%}
\eql{syse}{
\mat{c}{z\\v}=\mat{c}{G_1\\G_2}u=\mas{c|c}{A_G&B_G\hl C_{G1}&D_{G1}\\C_{G2}&0}u,
}
with an input signal $u\in l^{n_u}$ used for control and two output signals
$z\in l^{d}$, $v\in l^{n_v}$ interpreted as follows. The first one is supposed to be asymptotically steered to $z_*\in\R^d$ with $\nabla f(z_*)=0$ for any cost $f\in\cS$.
The second output provides extra information about the system that can be exploited for control; it can be empty, which boils down to $n_v=0$.

The to-be-constructed dynamic controller (algorithm)  is a linear time-invariant system
that takes the two signals $w=\nabla f(z)$ and $v$ as its inputs and generates the control signal $u$ as its output:
\eql{cone}{
u=\mat{cc}{K_1&K_2}\mat{c}{w\\v}%=\mas{c|cc}{A_K&B_{K1}&B_{K2}\hl C_K&0&D_{K2}}\mat{c}{w\\v}
,\te{}w=\nabla f(z).}
Altogether, \r{syse}-\r{cone} define the closed-loop system as depicted on the left in Fig.~\ref{fig2}.
With $\c G:=G_1(I-K_2G_2)^{-1}K_1$, a simple calculation shows that it can be described as
\eql{cG}{w=\nabla f(z),\ \ z=\c Gw.}
\remark{\l{rem4}Based on the state-space description of
\r{syse} and of $K_1$, $K_2$, one can calculate a representation \r{sysm} of $z=\c Gw$. We assume that
the ``$D$-matrix'' of  $K_1$ vanishes, which assures $\Dal=0$ in \r{sysm} and leads to \r{sys}.}


Given $\rho\in(0,1)$, the goal is to test whether there
exists a controller \r{cone} for \r{syse} which
achieves $\rho$-convergence for the interconnection \r{cG}
The infimum of all such $\rho$'s  is the extremum control rate $\rec$.

In Section \ref{sec_convexification} we have been only addressing the simple case $G_1=I$ and $G_2=[\,]$.
Despite the current more general setting, we are in the position to exploit the developed results in their full extent as seen next. The key is to adopt the generalized plant point-of-view.




\subsection{Setting up the Generalized Plant}

In the representation of $z=\c Gw$ by \r{sys} we can assume  w.l.o.g. that $(\Aal,\Cal)$ is detectable. By
Theorem \ref{Tnec}, we need to make sure that $\c G$ admits a factorization $\bar{\c G}H_d$
with $H_d$ being the integrator \r{int}. To enforce this structure we consider the feedback interconnection
\eql{gpe}{\arc
\mat{c}{z\hl y}=\mat{c|c}{
0&G_1 \hl
H_d&0   \\
0&G_2
}\mat{c}{w\hl u},\ \ u=\mat{cc}{\bar K_1&K_2}y
}
where the controllers $\bar K_1$ and $K_2$ can be freely chosen. %$(\bar K_1\ K_2)$ is a free controller.
With the abbreviation $\bar{\c G}:=G_1(I-K_2G_2)^{-1}\bar K_1$,
closing this loop indeed gives $z=\bar{\c G}H_dw$, and
\eql{constr}{K_1:=\bar K_1H_d}
assures the structure $\c G=G_1(I-K_2G_2)^{-1}K_1=\bar{\c G}H_d$.

We work again with state-space descriptions \r{gpla}-\r{gcon} of plant and controller in \r{gpe}, respectively.
Based on \r{syse}, the matrices for the plant can be taken as
\eql{gpp}{
\mat{ccc}{A&B_1&B\\ C_1&D_1&E\\ C&F&0}:=
\mat{cc|c|c}{
I &0      &I &0      \\
0 &A_G    &0 &B_G    \hl
0 &C_{G1} &0 &D_{G1} \hl
I &0      &0 &0      \\
0 &C_{G2} &0 &0      },
}
while those for the controller are free. Of course, then \r{gcll} leads to a state-space description of
\r{gpe} and, by inspection, $\Dcl$ indeed vanishes.
With the choice \r{constr}, this gives as well a state-space representation of $\c G$ in \r{cG}  which is
ensured to admit the structure \r{imp}.


For the purpose of synthesis, we need a plant-controller description for the corresponding system $\Gclt$ in \r{keysys}.
Recall that $\Gclt$ was obtained from \r{sys} by the signal transformations
\r{sit0}, \r{sit1} and \r{sit}.
%$$
%\mat{c}{\t z\\\t w}:=
%\mat{cc}{L\Id&-\Id\\-m\Id&\Id}
%\mat{c}{z\\w}.
%$$
%\red{Attention: Notations should now match. Check again!}
If applied to the plant \r{gpla} with matrices \r{gpp}, these transformations lead to
\eql{gplat}{
\mat{c}{\t z\\ y}=
\mas{c|cc}{\At&\Bt_1&\Bt\hld \Ct_1&\Dt_1&\Et\\\Ct&\Ft&0}
\mat{c}{\t w\\u}
=
%}with the system matrices$$\arc
%\mat{c}{\t z\\ y}=
%\mat{c|cc}{\At&\Bt_1&\Bt\hl \Ct_1&\Dt_1&\Et\\\Ct&\Ft&0}:=
\mas{c|cc}{\rho^{-1}(A+B_1mC_1)&\rho^{-1}B_1&\rho^{-1}(B+B_1mE)\hl (L-m)C_1&-I&(L-m)E\\ C&0&0}
\mat{c}{\t w\\u}
}
corresponding to the former \r{pla}. A state-space description of $\Gclt$
is obtained from \r{gplat} interconnected with \r{con}.% we indee get a state-space description of $\Gclt$ in \r{keysys}.

Let us now formulate a test whether \r{gplat} admits a stabilizing controller which involves so-called uncontrollable and unobservable modes
\cite[Definition 3.6]{ZhoDoy96}.


\lemm{\label{Lstacon}
There exists a controller which stabilizes \r{gplat} iff
$(A_G,B_{G})$/$(A_G,C_{G})$ have no uncontrollable/unobservable modes in $\{\la\in\C\st |\la|\geq\rho\}$ and
$
\mat{cc}{A_G-I&B_{G}\\C_{G1}&D_{G1}}\text{\ has full row rank.\ }
$}
\proof{Since the triple $(\t A,\t B,\t C)$ is given by
$\arc
\left(
\rho^{-1}
\mat{cc}{
I &mC_{G1}     \\
0 &A_G   }
,
\rho^{-1}
\mat{cc}{
mD_{G1} \\
B_G     },
\mat{cc}{
I &0      \\
0 &C_{G2} }
\right),
$
one easily verifies with the so-called Hautus-test that the formulated conditions characterize that $(\t A,\t B)$/$(\t A,\t C)$ are stabilizable/detectable. This proves the claim by Remark \ref{rem2}.
\epro

This identifies necessary conditions on \r{syse} for achieving an extremum control rate of $\rho\in(0,1)$.
In particular, $G_1$ needs to be right invertible (requiring $d\leq n_u$) and should have no invariant zero at $1$ \cite{Won85a}.



\subsection{Convexification of Synthesis}

We assume that \r{gplat} admits a stabilizing controller.
Again, the key to convexification is the
description of all stabilized closed-loop systems as in \r{Youla}.
Now we follow a classical state-space procedure to construct this Youla-parameterization
\cite[Section 4.5]{Fra87}: Just  choose matrices $\Mt$ and $\Lt$ such that
$
\At+\Bt\Mt\text{ and }\At+\Lt\Ct\text{ are Schur}
$
and take
\equ{\arc\label{you}
\mat{cc}{T_1&T_2\\T_3&0}:=
\mas{cc|cc}{
\At +\Bt\Mt     &-\Bt\Mt    &\Bt_1        &\Bt \\
0               &\At+\Lt\Ct &\Bt_1+\Lt\Ft &0   \hld
\Ct_1+\Et\Mt    &-\Et\Mt    &\Dt_1        &\Et \\
0               &\Ct        &\Ft          &0   }.
}
Note that the left-hand side is a matrix of operators, whose blocks are defined by the one with a state-space representations on the right on the right-hand side.

Moreover, we exploit the structure of the multiplies $\Lasr$ in \r{Lasr} to arrive at the following result.

\lemm{\label{Lcoe}$\rho\in(0,1)$ satisfies $\rec\leq\rho$ if there exist $\La\in\Lasr$, $\Z\in\cal\Q$ s.th.
%\eql{perf}{\Pi(\La)T+R\Z S\te{is SNR}}
$\Pi(\La)T_1\!+\!T_2\Z T_3$ is SNR.}

\proof{
By \r{fil} and \r{Lasr}, the multiplier $\Pi(\La)$ admits the diagonal structure $\pi(\La)I_d$ with
$$
\pi(\La)=
\mas{cccc|c}{
0         &1           &\cdots        &0      &0        \\
\vdots    &\ddots      &\ddots        &\vdots &\vdots   \\
0         &\cdots      &0             &1      &0      \\
0         &\cdots      &0             &0      &1      \hl
\lai{\len}&\lai{\len-1}&\cdots        &\lai{1}&\lai{0} }
$$
having one input and one output only. Moreover, $T_2$ has the dimension $d\times n_u$ and
can be expressed as a operator matrix with entries $(T_2)_{ij}$ for $i=1,\ldots,d$, $j=1,\ldots,n_u$ that
are also systems with one input and one output. It is well-known that such systems commute as
$\pi(\La)(T_2)_{ij}=(T_2)_{ij}\pi(\La)$, which implies
$$\Pi(\La)T_2=(\pi(\La)\Id)T_2=T_2(\pi(\La)I_{n_u})=T_2\pi(\La).$$
Starting with
$\Pi(\La)T_1+T_2\Z T_3$ being SNR,
we follow the proof that 2. implies 1. in Lemma \ref{Lco}. Due to the structure of \ce{$\tLa$}, we infer $\Pi(\tLa)=\pi(\tLa)\Id$ and hence $\Pi(\tLa)^{-1}=\pi(\tLa)^{-1}\Id$. Therefore, $\Q:=\pi(\tLa)^{-1}\Z$ satisfies $\Q\in\Z$ and
assures that $\Pi(\tLa)(T_1+T_2\Q T_3)=\Pi(\tLa)T_1+T_2\Z T_3$ is SNR.
Again, the application of  Theorem~\ref{Trs} completes the proof.
\epro}

Verifying $\rec\leq\rho$ according to Lemma~\ref{Lcoe} is convex over $\Lasr\times\cal{\Q}$ and can be exactly turned into a finite dimensional LMI feasibility problem.
%This is due to the fact that $\Pi(\La)T_1+T_2\Z T_2$ is affine in $(\La,\Z)$.
To see this we proceed as in Section \ref{Salgsyn} and express $\Pi(\La)T_1+T_2\Z T_2$ as
the interconnection
\eql{gplaew}{
\mat{c}{z\\y}=\mat{cc}{\Pi(\La)T_1&T_2\\T_3&0}\mat{c}{w\\u},\ \ u=\Z y.
}
Based on those of the multiplier \r{fil} and \r{you}, it is not difficult to construct a state-space representation of the plant in \r{gplaew}.
We dispense with writing down the matrices but note that these admit the structure
\eql{gps}{\arc
\mas{c|ccc}{A&B_1&B\hl C_1(\La)&D_1(\La)&E\\C&F&0}=
\mas{cc|cc}{
A_1          &0      &B_{11}      &0       \\
0            &A_2    &0           &B_{22}  \hl
C_{11}(\La)  &C_{12} &D_{1}(\La)  &E       \\
C_{21}       &0      &F           &0       }
}
%\eql{gps}{\arc
%\mat{cc}{\Pi(\La)T_1&T_2\\T_3&0}=
%\underbrace{
%\mas{cc|cc}{
%A_1          &0      &B_{11}      &0       \\
%0            &A_2    &0           &B_{22}  \hl
%C_{11}(\La)  &C_{12} &D_{11}(\La) &D_{12}  \\
%C_{21}       &0      &D_{21}      &0  }}_{\mas{c|ccc}{A&B_1&B\hl C_1(\La)&D_1(\La)&E\\C&F&0}}
%}
in which $C_{11}(\La)$, $D_{1}(\La)$ and hence $C_1(\La)$ are affine in $\La$. Note that we abuse
notation since \r{gps} and \r{gpp} certainly are different plants.

We are now in the position to apply  (a specialized version of) a convexification procedure that has been first established in \cite{Sch00b}, see also \cite{RosSch20} for recent extensions.
The corresponding LMIs involve a symmetric decision variable $\red{W}$ with the same size and partition as $A$. Let us introduce the following functions in the variables $\red{W}$ and $\La$ (where we drop the arguments to save space):
\equ{\arc
\bm{W_1}\!:=\!\mat{cc}{\red{W_{11}}&\red{W_{12}}\\0&I},\ \bm{W_2}\!:=\!\mat{cc}{I&0\\-\red{W_{12}^T}&\red{W_{22}}},\label{var1}\ \
\red{\bm{Y}}:=\bm{W_1^T}\bm{W_2},\ \
\mas{c|ccc}{\bm{A}&\bm{B_1}\hl \bm{C_1}&\bm{D_1}}:=
\mas{c|ccc}{\bm{W_1^T}A\bm{W_2}&\bm{W_1^T}B_1\hl C_1(\La)\bm{W_2}&D_1(\La)}. %\label{var2}\ \
%\label{var3}
}
It is crucial and easily checked by computation that the bold matrices all depend affinely  on $\red{W}$ and $\La$.

Moreover, let $U$, $\bm{V}$ be basis matrices of $\ker\mat{cc}{C&F}$, $\ker\mat{cc}{B^T&E^T}$ respectively; by \r{gps}
and with a basis $\col(V_1,V_2)$ of $\ker\mat{cc}{B_{22}^T&E^T}$, we can choose %$\bm{V}$ as
$%\eql{Vstr}{
\bm{V}:=\mat{cc}{I&0\\0&V_1\\0&V_2}.
$

%A state-space representation of the plant is give, with natural abbreviations for the ones of
%$T$, $R$, $S$, by
%\eql{syspar}{\arc
%\underbrace{
%\mas{cc:cc|cc}{
%\Af         &\Bf C_T     &0     &0     &\Bf D_T     &0   \\
%0           &A_T         &0     &0     &B_T         &0   \hdl
%0           &0           &A_R   &0     &0           &B_R \\
%0           &0           &0     &A_S   &B_S         &0   \hl
%\Cf(\La)    &\Df(\La)C_T &C_R   &0     &\Df(\La)D_T &D_R \\
%0           &0           &0     &C_S   &D_S         &0   }.}_{\mas{c|ccc}{A&B_1&B\hl C_1(\La)&D_1(\La)&E\\C&F&0}}
%}




\theo{\label{Tsynlmi3}Either one of the following two equivalent conditions imply $\rec\leq\rho$ for $\rho\in(0,1)$:
\enu{
\item
There exists a $\La\in\Lasr$ and a controller \r{con3} such that $\Az$ is Schur and
$\Pi(\La)T_1+T_2\Z T_3$ is SNR.
\item There exist $\red{X}$, $\red{W}$ and $\La\in\Lasr$ satisfying $\mat{cc}{\red{X}&\bm{W_1}\\\bm{W_1^T}&\red{\bm{Y}}}\cg 0$ and
\eql{lmis1p}{\arc
\bul^T
%\mat{cc}{\bul\\\bul\hl\bul\\\bul}^T\!\!
\mat{cc|cc}{
\red{X}&0        &0 &0 \\
0      &-\red{X} &0 &0 \hl
0      &0        &0 &I \\
0      &0        &I &0 }
\mat{cc}{A&B_1\\I&0\hl C_1(\La)&D_1(\La)\\0&I}U\cl 0,\ \
%}\eql{lmis2p}{\arc
\bul^T
\mat{cc|cc}{\red{\bm{Y}}&0&0&0\\0&-\red{\bm{Y}}^{-1}&0&0\hl 0&0&0&I\\0&0&I&0}
\mat{cc}{I&0\\-\bm{A^T}&-\bm{C_1^T}\hl 0&I\\ -\bm{B_1^T}&-\bm{D_1^T}}\bm{V}\cg 0.
%}\eql{lmis3p}{
}
}
}

%\theo{\label{Tsynlmi}There exists some $\La\in\Lasr$ and a controller \r{con3} such that $\Az$ is Schur and
%$\Pi(\La)T+R\Z S$ is SNR iff there exist $\red{X}$, $\red{W}$ and $\La\in\Lasr$ satisfying
%\eql{lmis1p}{\arc
%\bul^T
%%\mat{cc}{\bul\\\bul\hl\bul\\\bul}^T\!\!
%\mat{cc|cc}{
%\red{X}&0        &0 &0 \\
%0      &-\red{X} &0 &0 \hl
%0      &0        &0 &I \\
%0      &0        &I &0 }
%\mat{cc}{A&B_1\\I&0\hl C_1(\La)&D_1(\La)\\0&I}U\cl 0,}
%\eql{lmis2p}{\arc
%\bul^T
%\mat{cc|cc}{\red{\bm{Y}}&0&0&0\\0&-\red{\bm{Y}}^{-1}&0&0\hl 0&0&0&I\\0&0&I&0}
%\mat{cc}{I&0\\-\bm{A^T}&-\bm{C_1^T}\hl 0&I\\ -\bm{B_1^T}&-\bm{D_1^T}}V\cg 0,}
%\eql{lmis3p}{\mat{cc}{\red{X}&\bm{W_1}\\\bm{W_1^T}&\red{\bm{Y}}}\cg 0.}
%}
%


{\em Sketch of proof.} By Lemma \ref{Lcoe} it suffices to show the equivalence of 1. and 2. To this end we characterize  1. with
Theorem \ref{Tsyn} for \r{QRS} in terms of a non-convex feasibility condition in the variables $\red{X}$, $\Y$ and $\La$. We then map $\Y\cg 0$ into
$
\mat{cc}{\red{W_{11}}&\red{W_{12}}\\\red{W_{21}}&\red{W_{22}}}:=
\mat{cc}{\red{Y_{11}^{-1}}&-\red{Y_{11}^{-1}}\red{Y_{12}}\\-\red{Y_{21}}\red{Y_{11}^{-1}}&\red{Y_{22}}-\red{Y_{21}}\red{Y_{11}^{-1}}\red{Y_{12}}}
$
with $\red{W_{11}}\cg 0$, $\red{W_{22}}\cg 0$. For \r{var1} one easily checks that
$\Y \bm{W_1}=\bm{W_2}$ and
$\det(\bm{W_1})\neq0$, $\det(\bm{W_2})\neq 0$.
Hence $\Y=\bm{W_2}\bm{W_1^{-1}}=\bm{W_1^{-T}}\bm{W_2^T}$. Thus,  by the third equation in \r{var1}, we get
%Therefore, $\bm{W_1^T}\Y \bm{W_1}=\bm{W_1^T}\bm{W_2}=\red{\bm{Y}}=\bm{W_2^T}\bm{W_1}$
\eql{subs}{
\Y=\bm{W_1^{-T}}\bm{\Y}\bm{W_1^{-1}}=\bm{W_2}\bm{\Y^{-1}}\bm{W_2^T}.}

Hence, the first inequalities  in \r{lmis1} and in 2. are related by a congruence transformation with the matrix $\diag(I,\bm{W_1})$.
Moreover, the second one in \r{lmis1} and the first in \r{lmis1p} are identical.

For the third inequality in \r{lmis1} we take the annihilator matrix
$V:=\diag(\bm{W_1},I)\bm{V}$.
This is fine since $B^T\bm{W_1}=B^T$ by the structure of $\bm{W_1}$, $B$, and hence
$\arc\mat{cc}{B^T&E^T}V=\mat{cc}{B^T\bm{W_1}&E^T}\bm{V}=\mat{cc}{B^T&E^T}\bm{V}=0$. An
inspection of the proof of Theorem \ref{Tsyn} in
\cite[Section 6.3]{Sch00siam} reveals that it causes no harm to take some $V$ which depends on $\Y$.
If we then substitute \r{subs} in  the third inequality of \r{lmis1}, we obtain
$$\arc
\bul^T
\mat{cc|cc}{\bm{\Y}&0&0&0\\0&-\bm{\red{Y^{-1}}}&0&0\hl 0&0&0&I\\0&0&I&0}
\mat{cc}{\bm{W_1^{-1}}&0\\-\bm{W_2^T}A^T&-\bm{W_2^T}C_1^T\hl 0&I\\ -B_1^T&-D_1^T}V\cg 0.
$$
With $V:=\diag(\bm{W_1},I)\bm{V}$ and \r{var1} we right away obtain the second inequality in \r{lmis1p}.
\epro

In fact, 2. constitutes convex constraints on all decisions variables; genuine LMIs are
obtained by taking a Schur complement w.r.t. $\red{\bm{Y}}^{-1}$ in the second inequality of \r{lmis1p}.

\subsection{Overall Design Procedure and Discussion}

Let us collect the steps to solve the extremum control problem for the system \r{syse}.
Note that this encompasses algorithm design for $G_1=\Id$ and $G_2=[\,]$ as in the first part of the paper.
\enu{
\item Choose some $\le\in\N_0$ in \r{fil} and $\rho\in(0,1)$. Set up the generalized plant \r{gplat} and
verify that the conditions in Lemma~\ref{Lstacon} hold.
\item Based on \r{gplat} and by using \r{you} and \r{fil}, construct a state-space representation of the generalized plant in
\r{gplaew} with the structure \r{gps}.
\item Check feasibility of the convex constraints in 2. of Theorem \ref{Tsynlmi3} (by solving the related LMI problem).
%\item If feasible, fix a corresponding $\Laopt\in\Lasr$. Then the convergence rate $\rho$ is a achieved bysome a suitable controller.}
\item If feasible, the convergence rate $\rho$ is achievable for
a suitable controller \r{cone}  constructed as follows.
Choose the weighted version of the generalized plant \r{gplat} given as
\eql{wgplat}{\arc
\mas{cc|ccc}{
\Af         &\Bf\t C_1         &\Bf\t D_1         &\Bf\t E         \\
0           &\t A              &\t B_1            &\t B            \hld
\Cf(\Laopt) &\Df(\Laopt)\t C_1 &\Df(\Laopt)\t D_1 &\Df(\Laopt)\t E \\
0           &\t C              &\t F              &0               }.
}
For \r{wgplat} and \r{QRS}, the LMIs in Theorem \ref{Tsyn} are feasible.
With a related controller \r{gcon} and in view of \r{con}, \r{constr}, we infer that
$\arc
\mat{cc}{K_1&K_2}=
\mas{c|c}{\rho\Aco&\rho\Bco\hl \Cco&\Dco}\mat{cc}{H_d&0\\0&I_{n_v}}
$
achieves $\rho$-convergence for \r{syse}-\r{cone}.
}
}
By bisection over $\rho$, one can determine the infimal worst-case convergence rate $\rho_*(\le)$ that is achievable with some algorithm. Note that this best rate depends on the length $\le$ of the Zames-Falb multiplier \r{fil}.


We emphasize that any papers in the literature revolve around the case $\le=0$ leading to a multiplier without dynamics, which is related to the so-called circle-criterion or a version of the small-gain theorem. For example in \cite{MicEbe16a}, controllers are assumed to have an observer structure incorporating an integrator, and the design is split up into sequential observer and state-feedback synthesis steps relying on the small-gain theorem, both of which are typically conservative. The paper \cite{NelMal18} fixes a control structure and is confined to stability analysis for $\le=0$ only.
Dynamic multipliers are generally known to be considerably more powerful (see e.g. \cite{VeeSch16a} for analysis and \cite{Sch15} for synthesis). The test for $\le=1$ termed off-by-one circle criterion attracted special attention in \cite{LesRec16,LesSei20,ScoFre18} for algorithm analysis (see also Corollary~\ref{Cexp}).

Our approach overcomes various of these limitations in that we perform direct output-feedback synthesis and employ dedicated dynamic multipliers for the general extremum control problem.
Our numerical examples illustrate that it can be beneficial to work with multipliers of length larger than $1$, and that one can analyze the achievable convergence rates depending on suitable system theoretic properties of \r{syse}.

We have not made any assumptions on $G_1$ so far. In case that $G_1$ admits the structure $G_1=g_1I_{n_u}$ with a single input single output system $g_1$, we emphasize that the extensions as described in Section  \ref{Sfmul} go through with ease in the current more general setting. If, in addition, $G_2$ is empty and we work with multipliers that admit a Kronecker structure, the possibility for dimensionality reduction carries over as well (see Remark \ref{remcon}). The synthesis procedure will lead to a controller $K_1$ that also admits this structure. Concretely, this captures the optimal synthesis of an algorithm for the minimization of $f$ where
the information sent to the gradient first needs to pass a communication channel that is modeled by $g_1$.

\begin{figure}\center
\includegraphics[width=0.45\textwidth,trim=20 15 20 15,clip=true]{fig81}
%\includegraphics[width=0.5\textwidth,trim=20 15 20 15,clip=true]{fig8}
\includegraphics[width=0.45\textwidth,trim=20 15 20 15,clip=true]{fig83}
\caption{Guaranteed rates for the example in Section \ref{Sex1} with
 $l=0$ (left) and $l=2$ (right).
}
\label{figex1}
\end{figure}

%\begin{figure}\center
%{\includegraphics[width=0.5\textwidth,trim=20 15 20 15,clip=true]{fig8}}
%\caption{Guaranteed convergence rates for algorithms with $l=1$.}
%\label{figex2}
%\end{figure}
%
%\begin{figure}\center
%{\includegraphics[width=0.5\textwidth,trim=20 15 20 15,clip=true]{fig83}}
%\caption{Guaranteed convergence rates for algorithms with $l=2$.}
%\label{figex3}
%\end{figure}


\subsection{Numerical examples}\label{Sexa}

\subsubsection{Example 1}\label{Sex1}
Relating the limits of performance of some controlled systems to properties of the underlying uncontrolled one is a classical research topic in control \cite{Zam81}. Our tools put us in the position to explore such limits of performance expressed by the achievable optimal convergence rate.
For a numerical illustration, we choose a very simple configuration with
$G_2=[\,]$ and a family of systems $G_1$ that admit the transfer functions
$
G_1(z)=\frac{z-0.5}{(z+p)(z+0.5)}
$
with the pole $p$ varying in $\{0.2, 0.8, 0.9, 1, 1.1, 1.2, 2\}$. The optimal achievable rates for static  ($l=0$) and dynamic multipliers ($l=2$) depending on the condition number $L/m$ are plotted  in Fig.~\ref{figex1}; note that the saturation at $1.1$ is due to the initialization of the bisection over $\rho$ with the interval $[0,1.1]$. The curves indicate a uniform improvement of the achievable rates if stepping from $l=0$ to $l=2$, but they do not improve any more for $l>2$. It is as well interesting to observe that the rates do not change when moving the pole $p$ inside the unit disk towards the boundary, but that they do get worse if $p$
moves further into the unstable region. Instead of discussing other interesting aspects of such trade-offs and fundamental performance limitations for the example, we conclude by emphasizing that the key aspect is the mere ability
to generate such plots also for many other scenarios.

%\begin{figure}
%\cen{
%\begin{tikzpicture}[xscale=1,yscale=1]
%\def\dl{5ex}
%
%%\node[sy3, ] (f)  {$G$ };
%\node[sy3] (g) at (0,0)  {$G$};
%\node[sy3,above =2*\dn of g] (f) {$\nabla f$};
%\coordinate[right=4*\dn of g1] (j);
%%\node[sy3,below=\dl of g1] (g2) at (0,0)  {$$};
%%\node[sy3, left=3*\dl of g1] (int)  {$H$};%\mas{c|c}{I&I\hl I&0}$};
%\node[sy3, left=1*\dl of g] (h)  {$H$};%\mas{c|c}{I&I\hl I&0}$};
%\node[sy3, left=1*\dl of h] (k)  {$\bar K$};%\mas{c|c}{I&I\hl I&0}$};
%%\coordinate[left=4*\dn of k1] (s);
%%\node[jun, left= 3*\dn of k1] (s) {};
%
%\draw[->] (g) -- (h);
%\draw[->] (h) -- node[]{$y$}  (k);
%%\draw[->] (f) --  node[]{$w$}  (g);
%%\draw[->] (int) -- node[]{$y_1$}   (k1);
%%\draw[->] (k1) --  (s);
%%\draw[->] (g2) -- node[pos=.84]{$v$} (k2);
%%\draw[->] (k2) -| (s);
%\draw[->] (k) -- node[]{$u$} ([xshift=-4*\dn] k.west) |-  node[pos=.95]{$z$} (f);
%\draw[->] (f) -- node[pos=.5]{$w$} ([xshift=4*\dn] f.east) |- (g);
%
%%-- node[]{$u$} ([xshift=-4*\dn,yshift=4*\dn] k1.west) -| ([xshift=4*\dn] g1.east) -- (g1) ;% -- node[pos=.2,swap]{$q$}  (la.west);
%%\draw[->] (j) -- (g1);
%%\draw[->] (j) |- (g2);
%
%
%%\draw[->] ([xshift=-\dl] i1.west) |- (k2);
%%\draw[->] (g) -| node[near end]{$w$} (s);
%%\draw[->] (la) -- node[]{$p$}  (i2);
%%\draw[->] (k2.west) -- ([xshift=-\dl] k2.west) |- node[pos=.2,swap]{$q$}  (la.west);
%%\draw[->] (sys.west) -- ([xshift=-\dl] sys.west)   |- node[pos=.3]{$z$} (g.west); %node[] {$z$}
%\end{tikzpicture}
%\caption{Extremum Control: Optimization of Input of $G$.}
%\label{fig3}
%}
%\end{figure}
\subsubsection{Example 2}\label{Sex2}
A particularly  interesting case is optimization with delayed gradient information,
as it appears in parallel optimization or optimization over networks, see e.g. \cite{ZheMen16}.
%[Arxiv Papers: Asynchronous Stochastic Gradient Descent with Delay Compensation, eq. (3),The Error-Feedback Framework: Better Rates for SGD with Delayed Gradients and Compressed Updates].
Hereby, convergence rates of gradient descent algorithms described as $x_{k+1} = x_k - \al \nabla f(x_{k-\nu})$ with step-size $\al>0$
and lag $\nu \in \mathbb{N}$ are studied. Such a delay in general accelerated gradient descent algorithms can be easily captured
by taking $G_1(z)=\frac{1}{z^\nu}$ and $G_2=[\,]$ on the left in  Fig. \ref{fig2}.
The achievable guaranteed convergence rates for $\nu=0,1,2$ are shown on the left in Fig. \ref{fig3r}.
Notice that $\nu=0$ corresponds to the triple-momentum method. As expected, a longer lag
leads to a lower performance. It is interesting to observe that our approach
allows to design an accelerated algorithm with delayed gradients that outperforms the standard gradient descent algorithm (GD) without delay for larger values of $\kappa$.

\begin{figure}\center
{\includegraphics[width=0.45\textwidth,trim=20 15 20 15,clip=true]{fig51}}
\includegraphics[width=0.45\textwidth,trim=20 15 20 15,clip=true]{fig5b}
\caption{Guaranteed rates for the example in Section \ref{Sex2} (left) and Section \ref{Sex3} (right).}
%\ce{Fig. still needs reformatting}}
\label{fig3r}
\end{figure}

\subsubsection{Example 3}\label{Sex3}
Finally, we are not tied to the left configuration in Fig.~\ref{fig2}.
For example, one might require to optimize the rate of convergence
to an optimal steady-state $u_*$ of the controller's output on the right in Fig.~\ref{fig2} (in which the integrator $H_d$ is already displayed explicitly). Let us also assume that
$\nabla f$ is diagonally repeated as $\nabla f(z)=\col(b'(z),\ldots,b'(z))$ with any $b\in\cS\cap C^2(\R,\R)$ (see Sec.~\ref{Sfmul}).
Then algorithm synthesis can be convexified along the discussed lines for both repeated and full dynamic multipliers
$\Pi(\La)$ with $\La\in\Lasr$ and $\La\in\Las$, respectively.
If we pick
$\footnotesize\arc
G(z)=\mat{cc}{1&\frac{z-0.2}{z+1.2}\\\frac{z-1.2}{z+0.5}&1},
$
Fig.~\ref{fig3r} on the right depicts the achievable guaranteed rates for
repeated multipliers of length $l=2$ and for full multipliers of lengths $l=2$ and $l=4$.
These results not only reveal the benefit of
higher order dynamics in the multipliers, but also that of exploiting
the structure in the cost function.


%\begin{figure}\center\textbf{\textbf{\textbf{}}}
%{\includegraphics[width=0.5\textwidth,trim=20 15 20 15,clip=true]{fig2b}}
%\caption{Guaranteed convergence rates for algorithms with $l=0$.}
%\label{figex4}
%\end{figure}











%\red{Equation constraints}


%\begin{figure}[t!]
%\cen{
%\begin{tikzpicture}[xscale=1,yscale=1]
%\node[sy1] (sys) at (0,0)  {$\mat{cc}{G_1\\G_2}$};
%\tio{si}{sys}{east}{1/2};
%\tio{so1}{sys}{west}{2/3};
%\tio{so2}{sys}{west}{1/3};
%\node[sy3, left=\dl of so1] (f)  {$\nabla f$};
%\node[sy3, left=\dl of f] (int)  {$H$};%\mas{c|c}{I&I\hl I&0}$};
%\node[sy1, left=6.5*\dl of sys] (k) {$\mat{cc}{K_1&K_2}$};
%\tio{ki1}{k}{east}{2/3};
%\tio{ki2}{k}{east}{1/3};
%\tio{ko}{k}{west}{1/2};
%
%\draw[->] (so1) -- (f);
%\draw[->] (f) -- (int);
%\draw[->] (int) -- (ki1);
%\draw[->] (so2) -- (ki2);
%
%%\draw[->] ([xshift=-\dl] i1.west) |- (k2);
%%\draw[->] (g) -| node[near end]{$w$} (s);
%%\draw[->] (la) -- node[]{$p$}  (i2);
%%\draw[->] (k2.west) -- ([xshift=-\dl] k2.west) |- node[pos=.2,swap]{$q$}  (la.west);
%%\draw[->] (sys.west) -- ([xshift=-\dl] sys.west)   |- node[pos=.3]{$z$} (g.west); %node[] {$z$}
%\end{tikzpicture}
%\caption{Extremum Control}
%\label{fig2}
%}
%\end{figure}



\skipthis{
\begin{figure}[t!]
\cen{
\begin{tikzpicture}[xscale=1,yscale=1]
\def\dl{5ex}
\node[sy3] (g1) at (0,0)  {$G_1$};
\coordinate[right=4*\dn of g1] (j);
\node[sy3,below=\dl of g1] (g2) at (0,0)  {$G_2$};

\node[sy3, left=\dl of g1] (f)  {$\nabla f$};
\node[sy3, left=3*\dl of g1] (int)  {$H$};%\mas{c|c}{I&I\hl I&0}$};
\node[sy3, left=5*\dl of g1] (k1)  {$K_1$};%\mas{c|c}{I&I\hl I&0}$};
\node[sy3, left=5*\dl of g2] (k2)  {$K_2$};%\mas{c|c}{I&I\hl I&0}$};
\node[sum, left= 3*\dn of k1] (s) {$+$};

\draw[->] (g1) -- node[]{$z$}  (f);
\draw[->] (f) --  node[]{$w$}  (int);
\draw[->] (int) -- node[]{$y_1$}   (k1);
\draw[->] (k1) --  (s);
\draw[->] (g2) -- node[pos=.9]{$y_2$} (k2);
\draw[->] (k2) -| (s);
\draw[-] (s.north) -- node[]{$u$} ([yshift=4*\dn] s.north) -| (j);% -- node[pos=.2,swap]{$q$}  (la.west);
\draw[->] (j) -- (g1);
\draw[->] (j) |- (g2);


%\draw[->] ([xshift=-\dl] i1.west) |- (k2);
%\draw[->] (g) -| node[near end]{$w$} (s);
%\draw[->] (la) -- node[]{$p$}  (i2);
%\draw[->] (k2.west) -- ([xshift=-\dl] k2.west) |- node[pos=.2,swap]{$q$}  (la.west);
%\draw[->] (sys.west) -- ([xshift=-\dl] sys.west)   |- node[pos=.3]{$z$} (g.west); %node[] {$z$}
\end{tikzpicture}
\caption{Extremum Control}
\label{fig3}
}
\end{figure}
}





\section{Conclusions}

Expanding on the point of view discussed in \cite{WanEli11}, it is one of our key messages that the generalized plant
view-point adopted in this paper offers otherwise unachievable conceptual and
structural insights into the analysis and synthesis of optimization algorithms.
We believe that this view-point has a high potential to stimulate further research at the interface of systems theory, optimization and machine learning. For example, it seems highly promising to incorporated recent advances in structured controller synthesis (see \cite{RosSch20} and references therein) for the convex design of distributed optimization algorithms.
Finally, we believe that our approach can be utilized in algorithm design problems
where performance properties such as the mitigation of the sensitivity against noise come into play.


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

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\end{thebibliography}


\end{document}

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\bibitem{Sch00siam}
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\newblock Lecture Notes, Delft University of Technology, 1999.

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\newblock {\em IEEE Control Systems Letters}, 2(1):49--54, 2018.

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\newblock An optimal gradient method for smooth (possibly strongly) convex
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\newblock {A} synthesis framework for robust gain-scheduling controllers.
\newblock {\em Automatica}, 50(11):2799--2812, 2014.

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\end{thebibliography}

ref.bib
% Encoding: windows-1252

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@STRING{acc = {Proc. American Control Conf.}}

@STRING{aut = {Automatica}}

@STRING{cdc01 = {Proc. 40th IEEE Conf. Decision and Control}}

@STRING{cdc02 = {Proc. 41st IEEE Conf. Decision and Control}}

@STRING{cdc03 = {Proc. 42nd IEEE Conf. Decision and Control}}

@STRING{cdc04 = {Proc. 43rd IEEE Conf. Decision and Control}}

@STRING{cdc05 = {Proc. 44th IEEE Conf. Decision and Control}}

@STRING{cdc06 = {Proc. 45th IEEE Conf. Decision and Control}}

@STRING{cdc07 = {Proc. 48th IEEE Conf. Decision and Control}}

@STRING{cdc08 = {Proc. 47th IEEE Conf. Decision and Control}}

@STRING{cdc09 = {Proc. 48th IEEE Conf. Decision and Control}}

@STRING{cdc10 = {Proc. 49th IEEE Conf. Decision and Control}}

@STRING{cdc11 = {Proc. 50th IEEE Conf. Decision and Control}}

@STRING{cdc12 = {Proc. 51st IEEE Conf. Decision and Control}}

@STRING{cdc13 = {Proc. 52nd IEEE Conf. Decision and Control}}

@STRING{cdc94 = {Proc. 33rd IEEE Conf. Decision and Control}}

@STRING{cdc98 = {Proc. 37th IEEE Conf. Decision and Control}}

@STRING{csI = {IEEE Transactions on Circuits and Systems I: Fundamental Theory and
	Applications}}

@STRING{csm = {IEEE Control Systems Magazine}}

@STRING{ejc = {European Journal of Control}}

@STRING{ijc = {Int. J. of Control}}

@STRING{ijrn = {Int. J. Robust Nonlin.}}

@STRING{lcis = {Lecture Notes in Control and Information Sciences}}

@STRING{scl = {Syst. Control Lett.}}

@STRING{sicon = {SIAM J. Contr. Optim.}}

@STRING{tac = {IEEE T. Automat. Contr.}}

@STRING{tcs = {IEEE Transactions on}}

@Article{Massioni2009,
  author    = {Massioni, P. and Verhaegen, M.},
  journal   = {IEEE T. Automat. Contr.},
  title     = {{D}istributed {C}ontrol for {I}dentical {D}ynamically {C}oupled {S}ystems: {A} {D}ecomposition {A}pproach},
  year      = {2009},
  issn      = {0018-9286},
  number    = {1},
  pages     = {124-135},
  volume    = {54},
  crossref  = {@ARTICLE{Kempker2012121, author = {Pia L. Kempker and Andr?��?�� C.M. Ran and Jan H. van Schuppen}, title = {{C}ontrollability and observability of coordinated linear systems }, journal = {Linear Algebra and its Applications }, year = {2012}, volume = {437}, pages = {121 - 167}, number = {1}, doi = {10.1016/j.laa.2012.01.028}, issn = {0024-3795}, keywords = {Hierarchical systems}, url = {http://www.sciencedirect.com/science/article/pii/S0024379512000924} }},
  doi       = {10.1109/TAC.2008.2009574},
  file      = {MasVer09.pdf:MasVer09.pdf:PDF},
  keywords  = {distributed control;interconnected systems;linear matrix inequalities;linear systems;state feedback;state-space methods;H2 performance;Hinfin performance;decomposition approach;distributed control;dynamic output feedback;dynamically coupled systems;linear matrix inequality;multiobjective optimization;state space matrices;static state feedback;Constraint optimization;Control system synthesis;Control systems;Control theory;Distributed control;LAN interconnection;Linear matrix inequalities;Matrix decomposition;State feedback;State-space methods;Decomposition;distributed control;formation flying;linear matrix inequalities (LMIs);paper machines},
  owner     = {carsten},
  timestamp = {2013.05.10},
}

@ARTICLE{DoyGlo89,
  author = {Doyle, J. and Glover, K. and Khargonekar, P. and Francis, B.},
  title = {{S}tate-space solutions to standard {$H_\infty$} and {$H_2$} control
	problems},
  journal = {IEEE T. Automat. Contr.},
  year = {1989},
  volume = {34},
  pages = {831-847},
  crossref = {DGKF.pdf},
  endnotereftype = {Journal Article},
  file = {DGKF.pdf:DGKF.pdf:PDF;DGKF.pdf:DGKF.pdf:PDF},
  groups = {distributed},
  shorttitle = {State-space solutions to standard {$H_\infty$} and {$H_2$} control
	problems}
}

@ARTICLE{TitFan95,
  author = {Tits, A.L. and Fan, M.K.H.},
  title = {{O}n the small-$/mu$ theorem},
  journal = {Automatica},
  year = {1995},
  volume = {31},
  number = {8},
  month = {1995/8},
  pages = {1199-1201},
  crossref = {footnotesize},
  endnotereftype = {Journal Article},
  file = {TitFan95.pdf:TitFan95.pdf:PDF;TitFan95.pdf:TitFan95.pdf:PDF},
  keywords = {robust},
  shorttitle = {On the small-$/mu$ theorem}
}

@ARTICLE{Zames1968,
  author = {Zames, G. and Falb, P. L.},
  title = {{S}tability conditions for systems with monotone and slope-restricted
	nonlinearities},
  journal = {SIAM Journal of Control},
  year = {1968},
  volume = {6},
  pages = {89-109},
  owner = {Joost Veenman},
  timestamp = {2008.06.16}
}

@Book{SchWei99,
  author    = {Scherer, C. W. and Weiland, S.},
  publisher = {Lecture Notes, Delft University of Technology},
  title     = {{L}inear matrix inequalities in control},
  year      = {1999},
  owner     = {JV},
  timestamp = {2013.03.04},
}

@ARTICLE{TreTak13,
  author = {Trentelman, H. and Takaba, K. and Monshizadeh, N.},
  title = {{R}obust {S}ynchronization of {U}ncertain {L}inear {M}ulti-{A}gent
	{S}ystems},
  journal = tac,
  year = {2013},
  volume = {PP},
  number = {99},
  pages = {1-1},
  issn = {0018-9286},
  doi = {10.1109/TAC.2013.2239011},
  abstract = {This paper deals with robust synchronization of uncertain multi-agent
	networks. Given a network with for each of the agents identical nominal
	linear dynamics, we allow uncertainty in the form of additive perturbations
	of the transfer matrices of the nominal dynamics. The perturbations
	are assumed to be stable and bounded in H1-norm by some a priori
	given desired tolerance. We derive state space formulas for observer
	based dynamic protocols that achieve synchronization for all perturbations
	bounded by this desired tolerance. It is shown that a protocol achieves
	robust synchronization if and only if each controller from a related
	finite set of feedback controllers robustly stabilizes a given, single
	linear system. Our protocols are expressed in terms of real symmetric
	solutions of certain algebraic Riccati equations and inequalities,
	and also involve weighting factors that depend on the eigenvalues
	of the graph Laplacian. For undirected network graphs we show that
	within the class of such dynamic protocols, a guaranteed achievable
	tolerance can be obtained that is proportional to the quotient of
	the second smallest and the largest eigenvalue of the Laplacian.
	We also extend our results to additive nonlinear perturbations with
	L2-gain bounded by a given tolerance.},
  file = {TreTak13.pdf:TreTak13.pdf:PDF;TreTak13.pdf:TreTak13.pdf:PDF},
  owner = {cscherer},
  timestamp = {2013.04.10}
}

@ARTICLE{BarBor12,
  author = {Baric, M. and Borrelli, F.},
  title = {{D}ecentralized {R}obust {C}ontrol {I}nvariance for a {N}etwork of
	{S}torage {D}evices},
  journal = {IEEE T. Automat. Contr.},
  year = {2012},
  volume = {57},
  number = {4},
  pages = {1018-1024},
  issn = {0018-9286},
  endnotereftype = {Journal Article},
  keywords = {control system synthesis convex programming decentralised control
	discrete time systems invariance networked control systems robust
	control set theory additive disturbance admissible flow bounded control
	input convex optimization decentralized RCI set decentralized design
	maximal robust control invariant set networked storage devices nonempty
	set parametrization polyhedral set resource exchange robust feasibility
	problem decentralization single-state discrete time integrator},
  owner = {carsten},
  shorttitle = {Decentralized Robust Control Invariance for a Network of Storage Devices},
  timestamp = {2013.04.12}
}

@INPROCEEDINGS{YagChe05,
  author = {Yagoubi, M. and Chevrel, P.},
  title = {{S}tructured ${H}_2$-{C}ontroller {S}ynthesis via a dilated {LMI}
	{B}ased {A}lgorithm},
  booktitle = {Proc. 44th IEEE Conf. Decision and Control},
  year = {2005},
  pages = {5746-5751},
  doi = {10.1109/CDC.2005.1583079},
  file = {YagChe05.pdf:YagChe05.pdf:PDF},
  groups = {distributed},
  keywords = {Linear matrix inequalities;Lyapunov method;Optimal control;Output
	feedback;Stability;State feedback;Sufficient conditions},
  owner = {carsten},
  timestamp = {2013.04.14}
}

@ARTICLE{CheVou00,
  author = {Zhenyang Chen and Petros G. Voulgaris},
  title = {{D}ecentralized {D}esign for {I}ntegrated {F}light/{P}ropulsion {C}ontrol
	of {A}ircraft},
  journal = {Journal of Guidance, Control, and Dynamics},
  year = {2000},
  volume = {23},
  number = {6},
  pages = {1037-1044},
  file = {CheVou00.pdf:CheVou00.pdf:PDF},
  groups = {distributed},
  owner = {carsten},
  timestamp = {2013.04.17}
}

@ARTICLE{LevAth66,
  author = {Levine, W.S. and Athans, M.},
  title = {{O}n the optimal error regulation of a string of moving vehicles},
  journal = {IEEE T. Automat. Contr.},
  year = {1966},
  volume = {11},
  number = {3},
  pages = {355-361},
  note = {standard LQ theory, nice application scenario for exercises},
  issn = {0018-9286},
  doi = {10.1109/TAC.1966.1098376},
  abstract = {This paper uses the theory of optimal control to design an optimal
	linear feedback system which regulates the position and velocity
	of every vehicle in a densely packed string of high-speed moving
	vehicles. In addition to the general theoretical formulation and
	solution of the optimization problem, analog computer simulation
	results are presented for the case of a string of three vehicles.},
  file = {LevAth66.pdf:LevAth66.pdf:PDF},
  groups = {distributed},
  keywords = {Ground vehicles;Optimal control;Analog computers;Computational modeling;Computer
	simulation;Control systems;Drag;Equations;Feedback;Optimal control;Regulators;Vehicle
	safety},
  owner = {carsten},
  timestamp = {2013.04.17}
}

@INPROCEEDINGS{TieDoy94,
  author = {Tierno, J.E. and Doyle, J.C.},
  title = {{F}inite time horizon robust performance analysis},
  booktitle = {Proc.33rd IEEE Conf. Decision and Control},
  year = {1994},
  volume = {3},
  pages = {3080-3085 vol.3},
  doi = {10.1109/CDC.1994.411312},
  abstract = {Robust performance problems for linear time varying systems considered
	over a finite horizon, are reduced to the computation of the structured
	singular value of a finite matrix. Connections are established between
	the time domain and frequency domain tests},
  file = {TieDoy94.pdf:TieDoy94.pdf:PDF},
  groups = {distributed},
  keywords = {discrete time systems;frequency-domain analysis;linear systems;matrix
	algebra;robust control;time-domain analysis;time-varying systems;finite
	matrix;finite time horizon robust performance analysis;frequency
	domain tests;linear time varying systems;structured singular value;time
	domain tests;Equations;Frequency domain analysis;Frequency measurement;History;Performance
	analysis;Robustness;Testing;Time factors;Time varying systems;Uncertainty},
  owner = {carsten},
  timestamp = {2013.04.17}
}

@PHDTHESIS{Bay12,
  author = {Benoit Bayon},
  title = {{E}stimation robuste pour les systemes incertains},
  year = {2012},
  file = {Bay12.pdf:Bay12.pdf:PDF},
  owner = {carsten},
  school = {?��cole centrale de lyon},
  timestamp = {2013.04.19}
}

@INPROCEEDINGS{SchKos11,
  author = {Scherer, C.W. and K\"{o}se, I. Emre},
  title = {{O}n {C}onvergence of {T}ransfer {M}atrices and their {R}ealizations},
  booktitle = {Proc. of the 18th {IFAC} World Congres},
  year = {2011},
  pages = {3348-3353},
  address = {Milano, Italy},
  comment = {2011},
  endnotereftype = {Conference Proceedings},
  file = {SchKos11.pdf:Scherer\\SchKos11.pdf:PDF;SchKos11.pdf:Scherer\\SchKos11.pdf:PDF},
  groups = {distributed},
  owner = {carsten},
  shorttitle = {On Convergence of Transfer Matrices and their Realizations},
  timestamp = {2013.04.19}
}

@ARTICLE{SajJab12,
  author = {Solmaz Sajjadi-Kia and Faryar Jabbari},
  title = {{O}n bounded real matrix inequality dilation},
  journal = ijc,
  year = {2012},
  volume = {85},
  number = {10},
  pages = {1593-1601},
  file = {:SajJab12.pdf:PDF},
  owner = {carsten},
  timestamp = {2013.04.20}
}

@INPROCEEDINGS{Sch13,
  author = {C.W. Scherer},
  title = {{G}ain-scheduled synthesis with dynamic stable strictly positive
	real
	
	multipliers: {A} complete solution},
  booktitle = {European Control Conf.},
  year = {2013},
  pages = {1105-1113},
  address = {Z\"urich, Switzerland},
  file = {Sch13.pdf:Scherer\\Sch13.pdf:PDF},
  owner = {carsten},
  timestamp = {2013.04.21}
}

@INPROCEEDINGS{Sch13cdc,
  author = {C.W. Scherer},
  title = {{G}ain-scheduled synthesis with dynamic generalized strictly positive
	real multipliers: {A} complete solution},
  booktitle = cdc13,
  year = {2013},
  booktitleaddon = {s},
  pages = {4116-4121},
  address = {Milano, Italy},
  file = {Sch13.pdf:Scherer\\Sch13.pdf:PDF},
  owner = {carsten},
  timestamp = {2013.04.21}
}

@Article{Sch15,
  author    = {C.W. Scherer},
  journal   = sicon,
  title     = {{G}ain-scheduling control with dynamic multipliers by convex optimization},
  year      = {2015},
  number    = {3},
  pages     = {1224-1249},
  volume    = {53},
  date      = {to appear},
  file      = {VeeSch13.pdf:Scherer\\VeeSch13.pdf:PDF},
  groups    = {Fetzer, SchVee18},
  owner     = {carsten},
  timestamp = {2013.04.21},
}

@ARTICLE{VeeSch14,
  author = {J. Veenman and C.W. Scherer},
  title = {{A} synthesis framework for robust gain-scheduling controllers},
  journal = aut,
  year = {2014},
  volume = {50},
  number = {11},
  pages = {2799-2812},
  doi = {10.1002/rnc.3042},
  file = {:VeeSch14.pdf:PDF},
  owner = {carsten},
  timestamp = {2013.04.21}
}

@InProceedings{LesKri13,
  author    = {Laurent Lessard and Maxim Kristalny and Anders Rantzer},
  title     = {{O}n structured realizability and stabilizability of linear systems},
  booktitle = {Proc. American Control Conf.},
  year      = {2013},
  file      = {LesKri13.pdf:LesKri13.pdf:PDF},
  owner     = {carsten},
  timestamp = {2013.05.10},
}

@INPROCEEDINGS{MasVer10,
  author = {Paolo Massioni and Michel Verhaegen},
  title = {{A} full block {S}-procedure application to distributed control},
  booktitle = {Proc. American Control Conf.},
  year = {2010},
  pages = {2338-2343},
  file = {MasVer10.pdf:MasVer10.pdf:PDF},
  owner = {carsten},
  timestamp = {2013.05.10}
}

@INPROCEEDINGS{SarSep09,
  author = {Alain Sarlette and Rodolphe Sepulchre},
  title = {{A} {PDE} viewpoint on basic properties of coordination algorithms
	with symmetries},
  booktitle = {Proc. 48th IEEE Conf. Decision and Control},
  year = {2009},
  file = {SarSep09.pdf:SarSep09.pdf:PDF},
  owner = {carsten},
  timestamp = {2013.05.10}
}

@ARTICLE{Sch13a,
  author = {Carsten W. Scherer},
  title = {{S}tructured ${H}_\infty$-optimal control for nested interconnections:
	a state-space solution},
  journal = {Syst. Contr. Letters},
  year = {2013},
  volume = {62},
  issue = {12},
  pages = {1105-1113},
  file = {Sch13a.pdf:Sch13a.pdf:PDF},
  journaltitle = {#scl#},
  owner = {carsten},
  timestamp = {2013.05.10}
}

@INPROCEEDINGS{VamEli10,
  author = {Andalam Satya Mohan Vamsi and Nicola Elia},
  title = {{D}esign of distributed controllers realizable over arbitrary directed
	networks},
  booktitle = {Proc. 49th IEEE Conf. Decision and Control},
  year = {2010},
  file = {VamEli10.pdf:VamEli10.pdf:PDF},
  owner = {carsten},
  timestamp = {2013.05.10}
}

@INPROCEEDINGS{VamEli11,
  author = {Andalam Satya Mohan Vamsi and Nicola Elia},
  title = {{O}ptimal realizable networked controllers for networked systems},
  booktitle = acc,
  year = {2011},
  file = {VamEli11.pdf:VamEli11.pdf:PDF},
  owner = {carsten},
  timestamp = {2013.05.10}
}

@ARTICLE{YadSal10,
  author = {Vikas Yadav and Murti V. Salapaka and Petros G. Voulgaris},
  title = {{A}rchitectures for distributed controller with sub-controller communication
	uncertainty},
  journal = {IEEE Transactions on Automatic Control},
  year = {2010},
  volume = {55},
  number = {8},
  pages = {1765-1780},
  file = {YadSal10.pdf:YadSal10.pdf:PDF},
  keywords = {control system synthesis convex programming distributed control matrix
	algebra robust control telecommunication channels uncertain systems
	canonical distributed architecture communication channel communication
	uncertainty controller synthesis methodology convex optimization
	distributed controller architecture internal stability model uncertainty
	performance metric subcontroller},
  owner = {carsten},
  timestamp = {2013.05.10}
}

@ARTICLE{Gil94,
  author = {John R. Gilbert},
  title = {{P}redicting {S}tructure {I}n {S}parse {M}atrix {C}omputations},
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  year = {1994},
  volume = {15},
  pages = {62--79},
  file = {Gil94.pdf:Gil94.pdf:PDF},
  groups = {LA},
  owner = {carsten},
  timestamp = {2013.05.11}
}

@ARTICLE{GilLiu93,
  author = {@ARTICLE{doi:10.1137/0611010, author = {Liu, J.}, title = {{T}he
	{R}ole of {E}limination {T}rees in {S}parse {F}actorization}, journal
	= {SIAM Journal on Matrix Analysis and Applications}, year = {1990},
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	eprint = {http://epubs.siam.org/doi/pdf/10.1137/0611010}, url = {http://epubs.siam.org/doi/abs/10.1137/0611010}
	} John R. Gilbert and Joseph W. H. Liu},
  title = {{E}limination {S}tructures {F}or {U}nsymmetric {S}parse {LU} {F}actors},
  journal = {SIAM J. Matrix Analysis and Applications},
  year = {1993},
  volume = {14},
  pages = {334--352},
  file = {GilLiu93.pdf:GilLiu93.pdf:PDF},
  groups = {LA},
  owner = {carsten},
  timestamp = {2013.05.11}
}

@ARTICLE{Liu90,
  author = {Liu, J.},
  title = {{T}he {R}ole of {E}limination {T}rees in {S}parse {F}actorization},
  journal = {SIAM Journal on Matrix Analysis and Applications},
  year = {1990},
  volume = {11},
  number = {1},
  pages = {134-172},
  doi = {10.1137/0611010},
  eprint = {http://epubs.siam.org/doi/pdf/10.1137/0611010},
  url = {http://epubs.siam.org/doi/abs/10.1137/0611010},
  file = {Liu90.pdf:Liu90.pdf:PDF},
  groups = {LA},
  owner = {carsten},
  timestamp = {2013.05.11}
}

@ARTICLE{BouKom11,
  author = {O. Boutin and J. Komenda and T. Masopust and N. Pambakian and J.
	van Schuppen and P. Kempker and A. Ran},
  title = {{C}ontrol of distributed systems: {T}utorial and overview},
  journal = {European Journal of Control},
  year = {2011},
  volume = {17},
  number = {5-6},
  pages = {579-602},
  file = {BouKom11.pdf:BouKom11.pdf:PDF},
  owner = {carsten},
  timestamp = {2013.05.13}
}

@ARTICLE{KemRan12,
  author = {Pia L. Kempker and Andr\'e C.M. Ran and Jan H. van Schuppen},
  title = {{C}ontrollability and observability of coordinated linear systems},
  journal = {Linear Algebra and its Applications},
  year = {2012},
  volume = {437},
  number = {1},
  pages = {121 - 167},
  issn = {0024-3795},
  doi = {10.1016/j.laa.2012.01.028},
  url = {http://www.sciencedirect.com/science/article/pii/S0024379512000924},
  file = {KemRan12.pdf:KemRan12.pdf:PDF},
  keywords = {Hierarchical systems},
  owner = {carsten},
  timestamp = {2013.05.13}
}

@INPROCEEDINGS{KimLal10,
  author = {Jong-Han Kim and Sanjay Lall and Walter Merrill and Alireza Behbahani},
  title = {{A} computational approach for decentralized control of turbine engines},
  booktitle = {Decision and Control (CDC), 2010 49th IEEE Conference on},
  year = {2010},
  pages = {346--351},
  doi = {10.1109/CDC.2010.5717161},
  url = {http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=5717161},
  file = {KimLal10.pdf:KimLal10.pdf:PDF},
  owner = {carsten},
  timestamp = {2013.05.13}
}

@INPROCEEDINGS{KimLal11,
  author = {Jong-Han Kim and Sanjay Lall and Walter Merrill and Alireza Behbahani},
  title = {{D}ecentralized robust control via quadratically invariant model
	projection},
  booktitle = {American Control Conference (ACC), 2011},
  year = {2011},
  pages = {527--532},
  url = {http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=5991006},
  file = {KimLal11.pdf:KimLal11.pdf:PDF},
  owner = {carsten},
  timestamp = {2013.05.13}
}

@INPROCEEDINGS{KimLal11a,
  author = {Jong-Han Kim and Sanjay Lall},
  title = {{A} unifying condition for separable two player optimal control problems},
  booktitle = cdc11,
  year = {2011},
  pages = {3818--3823},
  doi = {10.1109/CDC.2011.6160503},
  url = {http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=6160503},
  file = {KimLal11a.pdf:KimLal11a.pdf:PDF},
  owner = {carsten},
  timestamp = {2013.05.13}
}

@INPROCEEDINGS{KimLal12,
  author = {Jong-Han Kim and Sanjay Lall and Chang-Kyung Ryoo},
  title = {{O}ptimal cooperative control of dynamically decoupled systems},
  booktitle = cdc12,
  year = {2012},
  pages = {4852--4857},
  doi = {10.1109/CDC.2012.6426588},
  url = {http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=6426588},
  file = {KimLal12.pdf:KimLal12.pdf:PDF},
  owner = {carsten},
  timestamp = {2013.05.13}
}

@INPROCEEDINGS{KimLal12a,
  author = {Jong-Han Kim and Sanjay Lall},
  title = {{S}eparable optimal cooperative control problems},
  booktitle = {American Control Conference (ACC), 2012},
  year = {2012},
  pages = {5868--5873},
  url = {http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=6314980},
  file = {KimLal12a.pdf:KimLal12a.pdf:PDF},
  owner = {carsten},
  timestamp = {2013.05.13}
}

@INPROCEEDINGS{KimWes08,
  author = {Jong-Han Kim and Matthew West and Sanjay Lall and Eelco Scholte and
	Andrzej Banaszuk},
  title = {{S}tochastic multiscale approaches to consensus problems},
  booktitle = {Decision and Control, 2008. CDC 2008. 47th IEEE Conference on},
  year = {2008},
  pages = {5551--5557},
  doi = {10.1109/CDC.2008.4739252},
  url = {http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=4739252},
  owner = {carsten},
  timestamp = {2013.05.13}
}

@InProceedings{Les12,
  author    = {Lessard, L.},
  title     = {{D}ecentralized {LQG} control of systems with a broadcast architecture},
  booktitle = cdc12,
  year      = {2012},
  pages     = {6241-6246},
  abstract  = {In this paper, we consider dynamical subsystems interconnected in
	a broadcast architecture. In the broadcast-out case, the root node
	can affect several leaf nodes, but the leaf nodes do not affect any
	other nodes. Each subsystem is locally controlled via output feedback,
	and the controllers can communicate according to a structure that
	parallels the dynamic coupling between subsystems. Explicit state-space
	realizations for the optimal controllers are derived using a spectral
	factorization approach. An interpretation of the controller states
	is also provided in terms of optimal state estimators. We also address
	the dual broadcast-in case, where there is a single leaf node affected
	by multiple root nodes.},
  doi       = {10.1109/CDC.2012.6426441},
  file      = {Les12.pdf:Les12.pdf:PDF},
  issn      = {0743-1546},
  keywords  = {decentralised control;feedback;linear quadratic Gaussian control;matrix decomposition;state estimation;broadcast architecture;broadcast-out case;decentralized LQG control;dual broadcast-in case;dynamic coupling;dynamical subsystems;leaf nodes;multiple root nodes;optimal state estimators;output feedback;spectral factorization approach;state-space realizations;Cost function;Covariance matrix;Output feedback;Riccati equations;Standards},
  owner     = {carsten},
  timestamp = {2013.05.13},
}

@InProceedings{LesLal11,
  author    = {Lessard, L. and Lall, S.},
  title     = {{A} state-space solution to the two-player decentralized optimal control problem},
  booktitle = acc,
  year      = {2011},
  pages     = {1559-1564},
  doi       = {10.1109/Allerton.2011.6120353},
  keywords  = {decentralised control;feedback;interconnected systems;linear systems;optimal control;global quadratic cost;interconnected linear systems;output feedback;state-space solution;two-player decentralized optimal control problem;Equations;Extraterrestrial measurements;Optimal control;Optimized production technology;Output feedback;Transfer functions;USA Councils},
  owner     = {carsten},
  timestamp = {2013.05.13},
}

@INPROCEEDINGS{SwiLal09,
  author = {John Swigart and Sanjay Lall},
  title = {{A} graph-theoretic approach to distributed control over networks},
  booktitle = cdc09,
  year = {2009},
  pages = {5409-5414},
  doi = {10.1109/CDC.2009.5400544},
  url = {http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=5400544},
  abstract = {We consider a network of control systems connected over a graph. Considering
	the graph structure as constraints on the set of permissible controllers,
	we show that such systems are simply constrained by a certain sparsity
	pattern. We provide conditions for which such systems are well-posed,
	and, under the appropriate assumptions, we show that such systems
	are quadratically invariant. This allows for efficient solution via
	convex programming, and we provide a construction for the optimal
	controllers.},
  file = {SwiLal09.pdf:SwiLal09.pdf:PDF},
  owner = {carsten},
  timestamp = {2013.05.13}
}

@INPROCEEDINGS{SwiLal09a,
  author = {John Swigart and Sanjay Lall},
  title = {{S}pectral factorization of non-classical information structures
	under feedback},
  booktitle = acc,
  year = {2009},
  pages = {457-462},
  doi = {10.1109/ACC.2009.5160614},
  url = {http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=5160614},
  abstract = {We consider linear systems under feedback. We restrict our attention
	to non-classical information structures for which the optimal control
	policies can be found via a convex optimization problem. The first
	step to analytically solving such control problems is performing
	a spectral factorization to solve the optimality condition. In this
	paper we discuss two classes of information structures, for which
	such spectral factorizations can be found. In the first structure,
	the only constraint is that the controller can remember previous
	inputs that it has received. In the second structure, we consider
	a controller which is allowed to forget previous observations.},
  file = {SwiLal09a.pdf:SwiLal09a.pdf:PDF},
  owner = {carsten},
  timestamp = {2013.05.13}
}

@INPROCEEDINGS{SwiLal10,
  author = {John Swigart and Sanjay Lall},
  title = {{A}n explicit state-space solution for a decentralized two-player
	optimal linear-quadratic regulator},
  booktitle = acc,
  year = {2010},
  pages = {6385-6390},
  url = {http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=5531482},
  abstract = {We develop controller synthesis algorithms for decentralized control
	problems, where individual subsystems are connected over a network.
	We focus on the simplest information structure, consisting of two
	interconnected linear systems, and construct the optimal controller
	subject to a decentralization constraint via a spectral factorization
	approach. We provide explicit state-space formulae for the optimal
	controller, characterize its order, and show that its states are
	those of a particular optimal estimator.},
  file = {SwiLal10.pdf:SwiLal10.pdf:PDF},
  owner = {carsten},
  timestamp = {2013.05.13}
}

@INPROCEEDINGS{SwiLal10a,
  author = {John Swigart and Sanjay Lall},
  title = {{O}ptimal synthesis and explicit state-space solution for a decentralized
	two-player linear-quadratic regulator},
  booktitle = cdc10,
  year = {2010},
  pages = {132-137},
  doi = {10.1109/CDC.2010.5717538},
  url = {http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=5717538},
  abstract = {In this paper, we develop controller synthesis algorithms for decentralized
	control problems. The system considered here is an information structure,
	consisting of two interconnected linear subsystems. We construct
	the optimal controllers via a spectral factorization approach. Explicit
	state-space formulae are provided, and the order of the optimal controllers
	are established.},
  file = {SwiLal10a.pdf:SwiLal10a.pdf:PDF},
  owner = {carsten},
  timestamp = {2013.05.13}
}

@INPROCEEDINGS{SwiLal11,
  author = {John Swigart and Sanjay Lall},
  title = {{O}ptimal controller synthesis for a decentralized two-player system
	with partial output feedback},
  booktitle = acc,
  year = {2011},
  pages = {317-323},
  url = {http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=5990984},
  abstract = {In this paper, we derive the optimal control policy for a decentralized
	control problem. The system considered here consists of two interconnected
	subsystems with communication allowed in only one direction. In addition,
	full state feedback is not assumed, as in previous instances of this
	problem. We construct the optimal con trollers via a spectral factorization
	approach. Explicit state-space formulae are provided, and the orders
	of the optimal controllers are established.},
  file = {SwiLal11.pdf:SwiLal11.pdf:PDF},
  owner = {carsten},
  timestamp = {2013.05.13}
}

@Article{AhmKar13,
  author    = {Tarek Ahmed-Ali and Iasson Karafyllis and Fran?����oise Lamnabhi-Lagarrigue},
  journal   = scl,
  title     = {{G}lobal exponential sampled-data observers for nonlinear systems with delayed measurements},
  year      = {2013},
  issn      = {0167-6911},
  number    = {7},
  pages     = {539 - 549},
  volume    = {62},
  doi       = {10.1016/j.sysconle.2013.03.008},
  file      = {:AhmKar13.pdf:PDF},
  keywords  = {<!-- Tag Not Handled --><keyword id=} # k000005 #{>Observer design},
  owner     = {carsten},
  timestamp = {2013.05.14},
  url       = {http://www.sciencedirect.com/science/article/pii/S0167691113000613},
}

@Article{BacViv13,
  author    = {Andrea Bacciotti and Jean-Claude Vivalda},
  journal   = scl,
  title     = {{O}n radial and directional controllability of bilinear systems},
  year      = {2013},
  issn      = {0167-6911},
  number    = {7},
  pages     = {575 - 580},
  volume    = {62},
  doi       = {10.1016/j.sysconle.2013.03.011},
  file      = {:BacViv13.pdf:PDF},
  keywords  = {<!-- Tag Not Handled --><keyword id=} # k000005 #{>Bilinear systems},
  owner     = {carsten},
  timestamp = {2013.05.14},
  url       = {http://www.sciencedirect.com/science/article/pii/S016769111300073X},
}

@Article{BagBat13,
  author    = {M. Baglietto and G. Battistelli and P. Tesi},
  journal   = scl,
  title     = {{S}tabilization and tracking for switching linear systems under unknown switching sequences},
  year      = {2013},
  issn      = {0167-6911},
  number    = {1},
  pages     = {11 - 21},
  volume    = {62},
  doi       = {10.1016/j.sysconle.2012.10.007},
  file      = {:BagBat13.pdf:PDF;:BagBat13.pdf:PDF},
  keywords  = {Switching systems},
  owner     = {carsten},
  timestamp = {2013.05.14},
  url       = {http://www.sciencedirect.com/science/article/pii/S0167691112002046},
}

@Article{ClaKal13,
  author    = {Christian Clason and Barbara Kaltenbacher},
  journal   = scl,
  title     = {{O}n the use of state constraints in optimal control of singular \{PDEs\}},
  year      = {2013},
  issn      = {0167-6911},
  number    = {1},
  pages     = {48 - 54},
  volume    = {62},
  doi       = {10.1016/j.sysconle.2012.10.006},
  file      = {:ClaKal13.pdf:PDF},
  keywords  = {Optimal control of \{PDEs\}},
  owner     = {carsten},
  timestamp = {2013.05.14},
  url       = {http://www.sciencedirect.com/science/article/pii/S0167691112002034},
}

@Article{Dem13,
  author    = {Michael A. Demetriou},
  journal   = scl,
  title     = {{S}ynchronization and consensus controllers for a class of parabolic distributed parameter systems},
  year      = {2013},
  issn      = {0167-6911},
  number    = {1},
  pages     = {70 - 76},
  volume    = {62},
  doi       = {10.1016/j.sysconle.2012.10.010},
  file      = {:Dem13.pdf:PDF},
  keywords  = {Infinite dimensional systems},
  owner     = {carsten},
  timestamp = {2013.05.14},
  url       = {http://www.sciencedirect.com/science/article/pii/S0167691112002071},
}

@Article{FlaBea13,
  author    = {Garret Flagg and Christopher A. Beattie and Serkan Gugercin},
  journal   = scl,
  title     = {{I}nterpolatory model reduction},
  year      = {2013},
  issn      = {0167-6911},
  number    = {7},
  pages     = {567 - 574},
  volume    = {62},
  doi       = {10.1016/j.sysconle.2013.03.006},
  file      = {:FlaBea13.pdf:PDF},
  keywords  = {<!-- Tag Not Handled --><keyword id=} # k000005 #{> H 2 / H ?��??�� approximation},
  owner     = {carsten},
  timestamp = {2013.05.14},
  url       = {http://www.sciencedirect.com/science/article/pii/S0167691113000595},
}

@Article{HasAam13,
  author    = {Agus Hasan and Ole Morten Aamo and Bjarne Foss},
  journal   = scl,
  title     = {{B}oundary control for a class of pseudo-parabolic differential equations},
  year      = {2013},
  issn      = {0167-6911},
  number    = {1},
  pages     = {63 - 69},
  volume    = {62},
  doi       = {10.1016/j.sysconle.2012.10.009},
  file      = {:HasAam13.pdf:PDF},
  keywords  = {Pseudo-parabolic differential equation},
  owner     = {carsten},
  timestamp = {2013.05.14},
  url       = {http://www.sciencedirect.com/science/article/pii/S016769111200206X},
}

@Article{KosSuy13,
  author    = {Nobuko Kosugi and Koichi Suyama},
  journal   = scl,
  title     = {{D}igital redesign of infinite-dimensional controllers based on numerical integration of new representation},
  year      = {2013},
  issn      = {0167-6911},
  number    = {7},
  pages     = {531 - 538},
  volume    = {62},
  doi       = {10.1016/j.sysconle.2013.03.007},
  file      = {:KosSuy13.pdf:PDF},
  keywords  = {<!-- Tag Not Handled --><keyword id=} # k000005 #{>Digital redesign},
  owner     = {carsten},
  timestamp = {2013.05.14},
  url       = {http://www.sciencedirect.com/science/article/pii/S0167691113000601},
}

@Article{MarBou13,
  author    = {B. Marinescu and H. Bourl\'s},
  journal   = scl,
  title     = {{Q}uasi-poles of linear time-varying systems in an intrinsic algebraic approach},
  year      = {2013},
  issn      = {0167-6911},
  number    = {7},
  pages     = {581 - 586},
  volume    = {62},
  doi       = {10.1016/j.sysconle.2013.03.012},
  file      = {:MarBou13.pdf:PDF},
  keywords  = {<!-- Tag Not Handled --><keyword id=} # k000005 #{>Poles},
  owner     = {carsten},
  timestamp = {2013.05.14},
  url       = {http://www.sciencedirect.com/science/article/pii/S0167691113000765},
}

@Article{MonTre13,
  author    = {Nima Monshizadeh and Harry L. Trentelman and M. Kanat Camlibel},
  journal   = scl,
  title     = {{S}tability and synchronization preserving model reduction of multi-agent systems},
  year      = {2013},
  issn      = {0167-6911},
  number    = {1},
  pages     = {1 - 10},
  volume    = {62},
  doi       = {10.1016/j.sysconle.2012.10.011},
  file      = {MonTre13.pdf:MonTre13.pdf:PDF},
  keywords  = {Multi-agent systems},
  owner     = {carsten},
  timestamp = {2013.05.14},
  url       = {http://www.sciencedirect.com/science/article/pii/S0167691112002083},
}

@Article{Mun13,
  author    = {Ionu?���� Munteanu},
  journal   = scl,
  title     = {{N}ormal feedback stabilization for linearized periodic \{MHD\} channel flow, at low magnetic {R}eynolds number},
  year      = {2013},
  issn      = {0167-6911},
  number    = {1},
  pages     = {55 - 62},
  volume    = {62},
  doi       = {10.1016/j.sysconle.2012.10.008},
  file      = {:Mun13.pdf:PDF},
  keywords  = {\{MHD\} flow control},
  owner     = {carsten},
  timestamp = {2013.05.14},
  url       = {http://www.sciencedirect.com/science/article/pii/S0167691112002058},
}

@ARTICLE{PasRog13,
  author = {Wojciech Paszke and Eric Rogers and Krzysztof Galkowski},
  title = {{KYP} lemma based stability and control law design for differential
	linear repetitive processes with applications},
  journal = scl,
  year = {2013},
  volume = {62},
  number = {7},
  pages = {560 - 566},
  issn = {0167-6911},
  doi = {10.1016/j.sysconle.2013.03.010},
  url = {http://www.sciencedirect.com/science/article/pii/S0167691113000728},
  file = {PasRog13.pdf:PasRog13.pdf:PDF},
  keywords = {KYP Lemma},
  owner = {carsten},
  timestamp = {2013.05.14}
}

@Article{SheSun13,
  author    = {Lijuan Shen and Jitao Sun and Qidi Wu},
  journal   = scl,
  title     = {{O}bservability and detectability of discrete-time stochastic systems with {M}arkovian jump},
  year      = {2013},
  issn      = {0167-6911},
  number    = {1},
  pages     = {37 - 42},
  volume    = {62},
  doi       = {10.1016/j.sysconle.2012.10.005},
  file      = {:SheSun13.pdf:PDF},
  keywords  = {Detectability},
  owner     = {carsten},
  timestamp = {2013.05.14},
  url       = {http://www.sciencedirect.com/science/article/pii/S0167691112002022},
}

@Article{VlaPet13,
  author    = {Igor G. Vladimirov and Ian R. Petersen},
  journal   = scl,
  title     = {{A} quasi-separation principle and {N}ewton-like scheme for coherent quantum \{LQG\} control},
  year      = {2013},
  issn      = {0167-6911},
  number    = {7},
  pages     = {550 - 559},
  volume    = {62},
  doi       = {10.1016/j.sysconle.2013.03.004},
  file      = {:VlaPet13.pdf:PDF},
  keywords  = {<!-- Tag Not Handled --><keyword id=} # k000005 #{>Quantum control},
  owner     = {carsten},
  timestamp = {2013.05.14},
  url       = {http://www.sciencedirect.com/science/article/pii/S0167691113000571},
}

@Article{ZelSch13,
  author    = {Daniel Zelazo and Simone Schuler and Frank Allg\"ower},
  journal   = scl,
  title     = {{P}erformance and design of cycles in consensus networks},
  year      = {2013},
  issn      = {0167-6911},
  number    = {1},
  pages     = {85 - 96},
  volume    = {62},
  doi       = {10.1016/j.sysconle.2012.10.014},
  file      = {ZelSch13.pdf:ZelSch13.pdf:PDF},
  keywords  = {Consensus protocol},
  owner     = {carsten},
  timestamp = {2013.05.14},
  url       = {http://www.sciencedirect.com/science/article/pii/S0167691112002113},
}

@Article{ZhaDua13,
  author    = {Yu Zhao and Zhisheng Duan and Guanghui Wen and Yanjiao Zhang},
  journal   = scl,
  title     = {{D}istributed finite-time tracking control for multi-agent systems: {A}n observer-based approach},
  year      = {2013},
  issn      = {0167-6911},
  number    = {1},
  pages     = {22 - 28},
  volume    = {62},
  doi       = {10.1016/j.sysconle.2012.10.012},
  file      = {:ZhaDua13.pdf:PDF},
  keywords  = {Multi-agent system},
  owner     = {carsten},
  timestamp = {2013.05.14},
  url       = {http://www.sciencedirect.com/science/article/pii/S0167691112002095},
}

@ARTICLE{FeyGat12,
  author = {Hamid Reza Feyzmahdavian and Ather Gattami and Mikael Johansson},
  title = {{D}istributed output-feedback {LQG} control with delayed information
	sharing},
  journal = {CoRR},
  year = {2012},
  volume = {abs/1204.6178},
  bibsource = {DBLP, http://dblp.uni-trier.de},
  ee = {http://arxiv.org/abs/1204.6178},
  file = {FeyGat12.pdf:FeyGat12.pdf:PDF},
  owner = {carsten},
  timestamp = {2013.05.15}
}

@InProceedings{LesLal10,
  author         = {Lessard, L. and Lall, S.},
  title          = {{I}nternal quadratic invariance and decentralized control},
  booktitle      = acc,
  year           = {2010},
  pages          = {5596-5601},
  month          = {June 30 2010-July 2 2010},
  endnotereftype = {Conference Proceedings},
  file           = {LesLal10.pdf:LesLal10.pdf:PDF},
  isbn           = {0743-1619},
  keywords       = {closed loop systems control system synthesis convex programming decentralised control transfer functions closed-loop maps decentralized control internal quadratic invariance control internally quadratically invariant minimum-norm controller synthesis quadratically invariant information constraint rational transfer function},
  owner          = {carsten},
  shorttitle     = {Internal quadratic invariance and decentralized control},
  timestamp      = {2013.05.15},
}

@InProceedings{LesLal10a,
  author         = {Lessard, L. and Lall, S.},
  title          = {{A}n algebraic framework for quadratic invariance},
  booktitle      = cdc10,
  year           = {2010},
  pages          = {2698-2703},
  month          = {June 30 2010-July 2 2010},
  endnotereftype = {Conference Proceedings},
  file           = {LesLal10a.pdf:LesLal10a.pdf:PDF},
  isbn           = {0743-1619},
  owner          = {carsten},
  shorttitle     = {Internal quadratic invariance and decentralized control},
  timestamp      = {2013.05.15},
}

@INPROCEEDINGS{Ran06,
  author = {Anders Rantzer},
  title = {{L}inear quadratic team theory revisited},
  booktitle = acc,
  year = {2006},
  pages = {1637-1641},
  file = {Ran06.pdf:Ran06.pdf:PDF},
  owner = {carsten},
  timestamp = {2013.05.15}
}

@INPROCEEDINGS{Ran07,
  author = {Anders Rantzer},
  title = {{O}n prize mechanisms in linear quadratic team theory},
  booktitle = cdc07,
  year = {2007},
  pages = {1112-1116},
  file = {Ran07.pdf:Ran07.pdf:PDF},
  owner = {carsten},
  timestamp = {2013.05.15}
}

@ARTICLE{ByrGeo06,
  author = {Christopher I. Byrnes and Tryphon T. Georgiou and Anders Lindquist
	and Alexander Megretski},
  title = {{G}eneralized interpolation in ${H}^\infty$ with a complexity constraint},
  journal = {Trans. Amer. Math. Soc.},
  year = {2006},
  volume = {358},
  pages = {965-987},
  note = {Primary 47A57, 30E05; Secondary 46N10, 47N10, 93B15},
  address = {Orlando, FL},
  booktitle = {Proc. 33rd IEEE Conf. Decision and Control},
  endnotereftype = {Conference Proceedings},
  file = {ByrGeo06.pdf:ByrGeo06.pdf:PDF;Meg94.pdf:Meg94.pdf:PDF},
  owner = {carsten},
  shorttitle = {On the order of optimal controllers in the mixed {$H^2/H^\infty$}
	control},
  timestamp = {2013.05.17}
}

@INPROCEEDINGS{Meg94a,
  author = {Alexandre Megretski},
  title = {{S}ynthesis of robust controllers for systems with integral quadratic
	constraints},
  booktitle = cdc94,
  year = {1994},
  file = {Meg94a.pdf:Meg94a.pdf:PDF},
  owner = {carsten},
  timestamp = {2013.05.17}
}

@Article{PatMis91,
  author    = {R.V. Patel and P. Misra},
  journal   = {Automatica},
  title     = {{N}umerical computation of decentralized fixed modes},
  year      = {1991},
  issn      = {0005-1098},
  number    = {2},
  pages     = {375 - 382},
  volume    = {27},
  doi       = {10.1016/0005-1098(91)90085-G},
  file      = {PatMis91.pdf:PatMis91.pdf:PDF},
  owner     = {carsten},
  timestamp = {2013.05.17},
  url       = {http://www.sciencedirect.com/science/article/pii/000510989190085G},
}

@ARTICLE{RotKha91a,
  author = {Mario A. Rotea and Pramod P. Khargonekar},
  title = {${H}^2$-optimal control with an ${H}^\infty$-constraint: {T}he state
	feedback case},
  journal = {Automatica},
  year = {1991},
  volume = {27},
  number = {2},
  pages = {307 - 316},
  issn = {0005-1098},
  doi = {10.1016/0005-1098(91)90079-H},
  url = {http://www.sciencedirect.com/science/article/pii/000510989190079H},
  file = {RotKha91a.pdf:RotKha91a.pdf:PDF},
  keywords = {Linear optimal control},
  owner = {carsten},
  timestamp = {2013.05.17}
}

@ARTICLE{EbiYam11,
  author = {Yoshio Ebihara and Jun Yamaguchi and Tomomichi Hagiwara},
  title = {{P}eriodically time-varying controller synthesis for multiobjective
	{H}$_{\mbox{2}}$/{H}$_{\mbox{;}}$ control of discrete-time systems
	and analysis of achievable performance},
  journal = scl,
  year = {2011},
  volume = {60},
  number = {9},
  pages = {709-717},
  bibsource = {DBLP, http://dblp.uni-trier.de},
  ee = {http://dx.doi.org/10.1016/j.sysconle.2011.05.008},
  file = {EbiYam11.pdf:EbiYam11.pdf:PDF},
  owner = {carsten},
  timestamp = {2013.05.29}
}

@ARTICLE{GieOla10,
  author = {R.H. Gielen and S. Olaru and M. Lazar and W.P.M.H. Heemels and N.
	van de Wouw and S.-I. Niculescu},
  title = {{O}n polytopic inclusions as a modeling framework for systems with
	time-varying delays},
  journal = {Automatica},
  year = {2010},
  volume = {46},
  number = {3},
  pages = {615 - 619},
  issn = {0005-1098},
  doi = {10.1016/j.automatica.2010.01.002},
  url = {http://www.sciencedirect.com/science/article/pii/S0005109810000221},
  file = {GieOla10.pdf:GieOla10.pdf:PDF},
  keywords = {Time-varying input delay},
  owner = {carsten},
  timestamp = {2013.05.29}
}

@ARTICLE{KhaPoo85,
  author = {Khargonekar, P.P. and Poolla, K. and Tannenbaum, A.},
  title = {{R}obust control of linear time-invariant plants using periodic compensation},
  journal = tac # {@ARTICLE{Gielen2010615, author = {R.H. Gielen and S. Olaru
	and M. Lazar and W.P.M.H. Heemels and N. van de Wouw and S.-I. Niculescu},
	title = {{O}n polytopic inclusions as a modeling framework for systems
	with time-varying delays }, journal = {Automatica }, year = {2010},
	volume = {46}, pages = {615 - 619}, number = {3}, doi = {10.1016/j.automatica.2010.01.002},
	issn = {0005-1098}, keywords = {Time-varying input delay}, url =
	{http://www.sciencedirect.com/science/article/pii/S0005109810000221}
	}},
  year = {1985},
  volume = {30},
  number = {11},
  pages = {1088-1096},
  issn = {0018-9286},
  doi = {10.1109/TAC.1985.1103841},
  file = {KhaPoo85.pdf:KhaPoo85.pdf:PDF},
  keywords = {Linear systems, time-varying;Periodic control, linear systems;Robustness,
	linear systems;Time-varying systems, linear;Books;Feedback control;Frequency
	domain analysis;Linear feedback control systems;Mathematics;Poles
	and zeros;Robust control;Robustness;Stress;Time varying systems},
  owner = {carsten},
  timestamp = {2013.05.29}
}

@ARTICLE{Rue10,
  author = {Rueffer, B.S.},
  title = {{S}mall-{G}ain {C}onditions and the {C}omparison {P}rinciple},
  journal = tac,
  year = {2010},
  volume = {55},
  number = {7},
  pages = {1732-1736},
  issn = {0018-9286},
  doi = {10.1109/TAC.2010.2048053},
  file = {Rue10.pdf:Rue10.pdf:PDF},
  keywords = {Lyapunov methods;continuous time systems;discrete time systems;stability;ISS
	Lyapunov functions;artificial discrete-time system;continuous-time
	nominal system;discrete-time comparison system;input-to-state stability;small-gain
	conditions;Australia Council;Feedback;Interconnected systems;Large-scale
	systems;Lyapunov method;Nonlinear systems;Permission;Stability;Discrete-continuous
	comparison principle;input-to-state stability (ISS);stability of
	NL systems},
  owner = {carsten},
  timestamp = {2013.06.03}
}

@ARTICLE{SilOya07,
  author = {E.I. Silva and D.A. Oyarz{\'u}n and M.E. Salgado},
  title = {{O}n structurally constrained {${\cal H}_2$} performance bounds for
	stable {MIMO} plant models},
  journal = {IET Control Theory Appl.},
  year = {2007},
  volume = {1},
  number = {4},
  pages = {1033-1045},
  file = {SilOya07.pdf:SilOya07.pdf:PDF},
  owner = {carsten},
  timestamp = {2013.06.05}
}

@ARTICLE{SeiPan04,
  author = {Seiler, P. and Pant, A. and Hedrick, K.},
  title = {{D}isturbance propagation in vehicle strings},
  journal = tac,
  year = {2004},
  volume = {49},
  number = {10},
  pages = {1835-1842},
  issn = {0018-9286},
  doi = {10.1109/TAC.2004.835586},
  file = {SeiPan04.pdf:SeiPan04.pdf:PDF},
  keywords = {interconnected systems;road vehicles;sensitivity analysis;stability;complementary
	sensitivity integral constraint;disturbance propagation;interconnected
	systems;vehicle string stability;Automated highways;Automatic control;Convergence;Filtering;Recursive
	estimation;Stability;Stochastic processes;Sufficient conditions;Time
	series analysis;Vehicles;Complementary sensitivity integral;interconnected
	systems;string stability},
  owner = {carsten},
  timestamp = {2013.06.12}
}

@ARTICLE{SwaHed96,
  author = {Swaroop, D. and Hedrick, J.K.},
  title = {{S}tring stability of interconnected systems},
  journal = tac,
  year = {1996},
  volume = {41},
  number = {3},
  pages = {349-357},
  issn = {0018-9286},
  doi = {10.1109/9.486636},
  file = {SwaHed96.pdf:SwaHed96.pdf:PDF},
  keywords = {asymptotic stability;interconnected systems;nonlinear control systems;countably
	infinite interconnection;gradient-based parameter adaptation law;interconnected
	systems;nonlinear systems;parameter mismatch;small structural/singular
	perturbations;string stability;sufficient conditions;uniform boundedness;weak
	coupling conditions;Asymptotic stability;Automatic control;Cables;Control
	systems;Distributed control;Interconnected systems;Nonlinear systems;Power
	system stability;Vehicle safety;Vibration control},
  owner = {carsten},
  timestamp = {2013.06.12}
}

@INPROCEEDINGS{KhaDav04,
  author = {Khatir, M.E. and Davison, E.J.},
  title = {{D}ecentralized control of a large platoon of vehicles using non-identical
	controllers},
  booktitle = acc,
  year = {2004},
  volume = {3},
  pages = {2769-2776 vol.3},
  file = {KhaDav04.pdf:KhaDav04.pdf:PDF},
  issn = {0743-1619},
  keywords = {decentralised control;road vehicles;stability;decentralized control;decentralized
	robust servomechanism problem;nonidentical controllers;stabilizing
	compensators;vehicle control},
  owner = {carsten},
  timestamp = {2013.06.13}
}

@INPROCEEDINGS{KhaDav04a,
  author = {Khatir, M.E. and Davidson, E.J.},
  title = {{B}ounded stability and eventual string stability of a large platoon
	of vehicles using non-identical controllers},
  booktitle = cdc04,
  year = {2004},
  volume = {1},
  pages = {1111-1116 Vol.1},
  doi = {10.1109/CDC.2004.1428841},
  file = {KhaDav04a.pdf:KhaDav04a.pdf:PDF},
  issn = {0191-2216},
  keywords = {asymptotic stability;decentralised control;spatial variables control;transportation;asymptotic
	error regulation;asymptotic spacing regulation;bounded stability;constant
	spacing distance control;decentralized nonidentical controllers;eventual
	string stability;identical vehicles;vehicle platoon;vehicle spacing;Asymptotic
	stability;Centralized control;Communication system control;Computer
	errors;Control systems;Distributed control;Error correction;H infinity
	control;Vehicles;Velocity control},
  owner = {carsten},
  timestamp = {2013.06.13}
}

@INPROCEEDINGS{KhaDav05,
  author = {Khatir, M.E. and Davidson, E.J.},
  title = {{D}ecentralized control of a large platoon of vehicles operating
	on a plane with steering dynamics},
  booktitle = acc,
  year = {2005},
  pages = {2159-2165 vol. 3},
  doi = {10.1109/ACC.2005.1470290},
  file = {KhaDav05.pdf:KhaDav05.pdf:PDF},
  issn = {0743-1619},
  keywords = {automated highways;automobiles;closed loop systems;control system
	synthesis;decentralised control;vehicle dynamics;6th order model;closed
	loop controllers;controller design;decentralized control;identical
	vehicles;large vehicle platoon;nonidentical controllers;nonlinear
	vehicle model;steering angle;steering dynamics;string stability;traction
	force;Automated highways;Automatic control;Control system synthesis;Control
	systems;Distributed control;Intelligent transportation systems;Road
	vehicles;Stability;Vehicle dynamics;Velocity control},
  owner = {carsten},
  timestamp = {2013.06.13}
}

@INPROCEEDINGS{RogAey05,
  author = {Rogge, J. and Aeyels, D.},
  title = {{D}ecentralized control of vehicle platoons with interconnection
	possessing ring topology},
  booktitle = cdc05,
  year = {2005},
  pages = {1491-1496},
  doi = {10.1109/CDC.2005.1582369},
  file = {RogAey05.pdf:RogAey05.pdf:PDF},
  keywords = {Control systems;Distributed control;Intelligent vehicles;Road transportation;Road
	vehicles;Stability;Topology;Urban areas;Vehicle driving;Velocity
	control},
  owner = {carsten},
  timestamp = {2013.06.13}
}

@Article{Mal01,
  author    = {Ranjan K. Mallik},
  journal   = {Linear Algebra and its Applications},
  title     = {{T}he inverse of a tridiagonal matrix},
  year      = {2001},
  issn      = {0024-3795},
  pages     = {109 - 139},
  volume    = {325},
  doi       = {http://dx.doi.org/10.1016/S0024-3795(00)00262-7},
  file      = {Mal01.pdf:Mal01.pdf:PDF},
  keywords  = {Tridiagonal matrix},
  owner     = {carsten},
  timestamp = {2013.06.16},
  url       = {http://www.sciencedirect.com/science/article/pii/S0024379500002627},
}

@INPROCEEDINGS{Sti02,
  author = {Stilwell, D.J.},
  title = {{D}ecentralized control synthesis for a platoon of autonomous vehicles},
  booktitle = {Proceedings. ICRA '02. IEEE International Conference on Robotics
	and Automation, 2002.},
  year = {2002},
  volume = {1},
  pages = {744-749 vol.1},
  doi = {10.1109/ROBOT.2002.1013447},
  file = {Sti02.pdf:Sti02.pdf:PDF},
  keywords = {computational complexity;control system synthesis;decentralised control;mobile
	robots;multi-robot systems;underwater vehicles;NP-hard problems;autonomous
	vehicles;communications bandwidth limitations;decentralized control
	synthesis;network topology;platoon;standard control design techniques;two-loop
	design methodology;underwater vehicles;Bandwidth;Communication system
	control;Distributed control;Land vehicles;Mobile robots;Network synthesis;Network
	topology;Remotely operated vehicles;Underwater communication;Underwater
	vehicles},
  owner = {carsten},
  timestamp = {2013.06.16}
}

@ARTICLE{CanJon12,
  author = {Cantoni, M. and Jonsson, Ulf T. and Chung-Yao Kao},
  title = {{R}obustness {A}nalysis for {F}eedback {I}nterconnections of {D}istributed
	{S}ystems via {I}ntegral {Q}uadratic {C}onstraints},
  journal = tac,
  year = {2012},
  volume = {57},
  number = {2},
  pages = {302-317},
  issn = {0018-9286},
  doi = {10.1109/TAC.2011.2163335},
  file = {CanJon12.pdf:CanJon12.pdf:PDF},
  keywords = {algebra;closed loop systems;control system analysis;control system
	synthesis;delays;distributed control;feedback;robust control;transfer
	functions;Callier-Desoer algebra;autonomous system;closed-loop control
	system;controller synthesis;distributed system;distributed-parameter
	transfer functions;feedback interconnection;integral quadratic constraint;robust
	stability analysis;robustness analysis;transfer function homotopy;uncertain
	time-delay;uncertainty-set connectedness;v-gap metric;Algebra;Fourier
	transforms;Measurement;Robust stability;Robustness;Transfer functions;Windings;
	$nu$-gap metric;Feedback;integral quadratic constraints (IQCs);robust
	stability;structured uncertainty},
  owner = {carsten},
  timestamp = {2013.06.19}
}

@ARTICLE{Cur11,
  author = {Curtain, R.},
  title = {{C}omments on "{D}istributed control of spatially invariant systems"},
  journal = tac,
  year = {2011},
  volume = {56},
  number = {3},
  pages = {707-710},
  issn = {0018-9286},
  doi = {10.1109/TAC.2010.2099430},
  file = {Cur11.pdf:Cur11.pdf:PDF},
  keywords = {control system analysis;distributed control;multidimensional systems;partial
	differential equations;distributed control;finite dimensional system;infinite
	domain analysis;spatially invariant partial differential system;Convolution;Kernel;Propagation;Riccati
	equations;Strips},
  owner = {carsten},
  timestamp = {2013.06.19}
}

@ARTICLE{Cur12,
  author = {Ruth Curtain},
  title = {{A}nalytic and algebraic properties of {R}iccati equations: {A} survey},
  journal = {Indagationes Mathematicae},
  year = {2012},
  volume = {23},
  number = {4},
  pages = {701 - 714},
  note = {<ce:title>Special Issue: Indagationes Mathematicae honoring Israel
	Gohberg</ce:title>},
  issn = {0019-3577},
  doi = {http://dx.doi.org/10.1016/j.indag.2012.05.004},
  url = {http://www.sciencedirect.com/science/article/pii/S0019357712000365},
  file = {Cur12.pdf:Cur12.pdf:PDF},
  keywords = {Linear systems},
  owner = {carsten},
  timestamp = {2013.06.19}
}

@ARTICLE{CurIft09,
  author = {Ruth Curtain and Orest V. Iftime and Hans Zwart},
  title = {{S}ystem theoretic properties of a class of spatially invariant systems},
  journal = {Automatica},
  year = {2009},
  volume = {45},
  number = {7},
  pages = {1619 - 1627},
  issn = {0005-1098},
  doi = {http://dx.doi.org/10.1016/j.automatica.2009.03.005},
  url = {http://www.sciencedirect.com/science/article/pii/S000510980900140X},
  file = {CurIft09.pdf:CurIft09.pdf:PDF},
  keywords = {Linear systems},
  owner = {carsten},
  timestamp = {2013.06.19}
}

@ARTICLE{GreKam85,
  author = {Green, W. and Kamen, E.},
  title = {{S}tabilizability of {L}inear {S}ystems {O}ver a {C}ommutative {N}ormed
	{A}lgebra with {A}pplications to {S}patially-{D}istributed and {P}arameter-{D}ependent
	{S}ystems},
  journal = {SIAM Journal on Control and Optimization},
  year = {1985},
  volume = {23},
  number = {1},
  pages = {1-18},
  doi = {10.1137/0323001},
  eprint = {http://epubs.siam.org/doi/pdf/10.1137/0323001},
  url = {http://epubs.siam.org/doi/abs/10.1137/0323001},
  file = {GreKam85.pdf:GreKam85.pdf:PDF},
  owner = {carsten},
  timestamp = {2013.06.19}
}

@Article{HenVyh12,
  author    = {Didier Henrion and Tomas Vyhlidal},
  journal   = {Automatica},
  title     = {{P}ositive trigonometric polynomials for strong stability of difference equations},
  year      = {2012},
  issn      = {0005-1098},
  number    = {9},
  pages     = {2207 - 2212},
  volume    = {48},
  doi       = {http://dx.doi.org/10.1016/j.automatica.2012.06.021},
  file      = {HenVyh12.pdf:HenVyh12.pdf:PDF},
  keywords  = {Difference equations},
  owner     = {carsten},
  timestamp = {2013.06.19},
  url       = {http://www.sciencedirect.com/science/article/pii/S0005109812002749},
}

@Article{Ift12,
  author    = {Orest V. Iftime},
  journal   = {Automatica},
  title     = {{B}lock circulant and block {T}oeplitz approximants of a class of spatially distributed systems?��?�{�A}n \{LQR\} perspective},
  year      = {2012},
  issn      = {0005-1098},
  number    = {12},
  pages     = {3098 - 3105},
  volume    = {48},
  doi       = {http://dx.doi.org/10.1016/j.automatica.2012.08.021},
  file      = {Ift12.pdf:Ift12.pdf:PDF},
  keywords  = {Linear systems},
  owner     = {carsten},
  timestamp = {2013.06.19},
  url       = {http://www.sciencedirect.com/science/article/pii/S0005109812004220},
}

@ARTICLE{Roe75,
  author = {Roesser, Robert P.},
  title = {{A} discrete state-space model for linear image processing},
  journal = tac,
  year = {1975},
  volume = {20},
  number = {1},
  pages = {1-10},
  issn = {0018-9286},
  doi = {10.1109/TAC.1975.1100844},
  file = {Roe75.pdf:Roe75.pdf:PDF},
  keywords = {Distributed systems, linear;Image processing;Linear systems, time-invariant
	discrete-time;Convolution;Difference equations;Image processing;Linear
	systems;Observability;Optical devices;Optical filters;Optical noise;Power
	system modeling;Transfer functions},
  owner = {carsten},
  timestamp = {2013.06.21}
}

@INPROCEEDINGS{MasKum98,
  author = {Masubuchi, I. and Kume, A. and Shimemura, Etsujiro},
  title = {{S}pline-type solution to parameter-dependent {LMI}s},
  booktitle = cdc98,
  year = {1998},
  volume = {2},
  pages = {1753-1758 vol.2},
  doi = {10.1109/CDC.1998.758549},
  file = {MasKum98.pdf:MasKum98.pdf:PDF},
  issn = {0191-2216},
  keywords = {control system analysis;control system synthesis;matrix algebra;splines
	(mathematics);LPV systems;PDQF;PDQF approximation;finite LMI-condition;linear
	matrix inequalities;linear parameter varying system synthesis;linear
	parameter varying systems analysis;parameter-dependent LMI;parameter-dependent
	quadratic forms;spline-type solution;Concrete;Control design;Finite
	element methods;Information science;Linear matrix inequalities;Lyapunov
	method;Performance gain;Spline;Stability criteria},
  owner = {carsten},
  timestamp = {2013.06.26}
}

@ARTICLE{AugHur13,
  author = {Augusta, Petr and Hurak, Zdenek},
  title = {{D}istributed stabilisation of spatially invariant systems: positive
	polynomial approach},
  journal = {Multidimensional Systems and Signal Processing},
  year = {2013},
  volume = {24},
  number = {1},
  pages = {3-21},
  issn = {0923-6082},
  doi = {10.1007/s11045-011-0152-5},
  url = {http://dx.doi.org/10.1007/s11045-011-0152-5},
  language = {English},
  file = {AugHur13.pdf:AugHur13.pdf:PDF},
  keywords = {Multidimensional systems; Algebraic approach; Control design; Positiveness;
	Convex optimisation},
  owner = {carsten},
  publisher = {Springer US},
  timestamp = {2013.06.28}
}

@ARTICLE{Bli04a,
  author = {Bliman, P.},
  title = {{A} {C}onvex {A}pproach to {R}obust {S}tability for {L}inear {S}ystems
	with {U}ncertain {S}calar {P}arameters},
  journal = {SIAM Journal on Control and Optimization},
  year = {2004},
  volume = {42},
  number = {6},
  pages = {2016-2042},
  doi = {10.1137/S0363012901398691},
  eprint = {http://epubs.siam.org/doi/pdf/10.1137/S0363012901398691},
  url = {http://epubs.siam.org/doi/abs/10.1137/S0363012901398691},
  file = {Bli04a.pdf:Bli04a.pdf:PDF},
  owner = {carsten},
  timestamp = {2013.06.28}
}

@ARTICLE{Bli04b,
  author = {Pierre-Alexandre Bliman},
  title = {{A}n existence result for polynomial solutions of parameter-dependent
	{LMIs}},
  journal = scl,
  year = {2004},
  volume = {51},
  pages = {165 - 169},
  issn = {0167-6911},
  doi = {http://dx.doi.org/10.1016/j.sysconle.2003.08.001},
  url = {http://www.sciencedirect.com/science/article/pii/S0167691103002299},
  file = {Bli04b.pdf:Bli04b.pdf:PDF},
  keywords = {Linear matrix inequalities},
  owner = {carsten},
  timestamp = {2013.06.28}
}

@ARTICLE{ChoTit99,
  author = {Yung-Shan Chou and Tits, A.L. and Balakrishnan, V.},
  title = {{S}tability multipliers and mu; upper bounds: connections and implications
	for numerical verification of frequency domain conditions},
  journal = {Automatic Control, IEEE Transactions on},
  year = {1999},
  volume = {44},
  number = {5},
  pages = {906-913},
  issn = {0018-9286},
  doi = {10.1109/9.763207},
  file = {ChoTit99.pdf:ChoTit99.pdf:PDF},
  keywords = {absolute stability;frequency-domain analysis;matrix algebra;robust
	control;singular value decomposition;uncertain systems;absolute stability;frequency
	domain analysis;linear matrix inequality;multipliers;robust control;scaling
	matrix;structured singular value;sufficient conditions;uncertain
	systems;upper bounds;Control systems;Fasteners;Frequency domain analysis;Linear
	matrix inequalities;Robust control;Robust stability;Sufficient conditions;Uncertain
	systems;Uncertainty;Upper bound},
  owner = {carsten},
  timestamp = {2013.06.28}
}

@ARTICLE{Del84,
  author = {Delchamps, David F.},
  title = {{A}nalytic feedback control and the algebraic {R}iccati equation},
  journal = tac,
  year = {1984},
  volume = {29},
  number = {11},
  pages = {1031-1033},
  issn = {0018-9286},
  doi = {10.1109/TAC.1984.1103419},
  file = {Del84.pdf:Del84.pdf:PDF},
  keywords = {Algebraic Riccati equation (ARE);Linear systems;Riccati equations,
	algebraic;State-feedback, linear systems;Centralized control;Control
	systems;Cyclic redundancy check;Feedback control;Observability;Riccati
	equations;Stability;Symmetric matrices;Taylor series;Transfer functions},
  owner = {carsten},
  timestamp = {2013.06.28}
}

@ARTICLE{1046837,
  author = {Shengyuan Xu and Lam, J. and Zhiping Lin and Galkowski, K.},
  title = {{P}ositive real control for uncertain two-dimensional systems},
  journal = {Circuits and Systems I: Fundamental Theory and Applications, IEEE
	Transactions on},
  year = {2002},
  volume = {49},
  number = {11},
  pages = {1659-1666},
  issn = {1057-7122},
  doi = {10.1109/TCSI.2002.804531},
  abstract = {This brief deals with the problem of positive real control for uncertain
	two-dimensional (2-D) discrete systems described by the Fornasini-Marchesini
	local state-space model. The parameter uncertainty is time-invariant
	and norm-bounded. The problem we address is the design of a state
	feedback controller that robustly stabilizes the uncertain system
	and achieves the extended strictly positive realness of the resulting
	closed-loop system for all admissible uncertainties. A version of
	positive realness for 2-D discrete systems is established. Based
	on this, a condition for the solvability of the positive real control
	problem is derived in terms of a linear matrix inequality. Furthermore,the
	solution of a desired state feedback controller is also given. Finally,
	we provide a numerical example to demonstrate the applicability of
	the proposed approach.},
  keywords = {asymptotic stability;closed loop systems;computability;discrete systems;linear
	matrix inequalities;multidimensional systems;robust control;state
	feedback;state-space methods;uncertain systems;Fornasini-Marchesini
	local state-space model;admissible uncertainties;closed-loop system;discrete
	systems;extended strictly positive realness;linear matrix inequality;norm-bounded
	uncertainty;parameter uncertainty;positive real control;solvability;state
	feedback controller;time-invariant uncertainty;uncertain two-dimensional
	systems;Control systems;Linear matrix inequalities;Robust control;Robust
	stability;State feedback;Transfer functions;Two dimensional displays;Uncertain
	systems;Uncertainty;Water heating},
  owner = {carsten},
  timestamp = {2013.06.30}
}

@ARTICLE{1381471,
  author = {Singh, V.},
  title = {{R}obust stability of 2-{D} digital filters employing saturation},
  journal = {Signal Processing Letters, IEEE},
  year = {2005},
  volume = {12},
  number = {2},
  pages = {142-145},
  issn = {1070-9908},
  doi = {10.1109/LSP.2004.839704},
  abstract = {A computationally tractable, i.e., linear matrix inequality (LMI)-based
	criterion for the global asymptotic stability of uncertain two-dimensional
	digital filters described by the Fornasini-Marchesini second local
	state-space model with saturation overflow arithmetic is presented.
	The criterion is compared with an earlier LMI-based criterion.},
  keywords = {Lyapunov methods;asymptotic stability;discrete systems;linear matrix
	inequalities;roundoff errors;signal processing;two-dimensional digital
	filters;uncertain systems;2-D digital filters;FMSLSS;Fornasini-Marchesini
	second local state-space model;LMI;Lyapunov method;finite wordlength
	effect;global asymptotic stability;linear matrix inequality;robust
	stability;saturation overflow arithmetic;uncertain system;Asymptotic
	stability;Digital arithmetic;Digital filters;Linear matrix inequalities;Lyapunov
	method;Quantization;Robust stability;Uncertain systems;Uncertainty;Water
	heating;2-D discrete systems;Asymptotic stability;Lyapunov methods;finite
	wordlength effects;linear matrix inequality;uncertain systems},
  owner = {carsten},
  timestamp = {2013.06.30}
}

@INPROCEEDINGS{4605865,
  author = {Peng Dan and Guan Xinping and Li Yumei and Chen Cailian},
  title = {{H}-infinity filltering of 2-{D} {FM} {LSS} model with state delays},
  booktitle = {Control Conference, 2008. CCC 2008. 27th Chinese},
  year = {2008},
  pages = {184-188},
  doi = {10.1109/CHICC.2008.4605865},
  abstract = {In this paper, we deal with Hinfin filtering problem for a class of
	two-dimensional (2-D) discrete time-invariant systems with state
	delays described by local state-space (LSS) Fornasini-Marchesini
	(FM) second model. Based on the bounded real lemma of 2-D state-delayed
	systems, Hinfin filtering design is developed, such that the filtering
	error system is asymptotically stable and has Hinfin performance
	gamma via LMIspsila feasibility. Furthermore, the minimum Hinfin
	norm bound gamma can be obtained by solving a linear objective optimization
	problem. A numerical example is given to demonstrate the effectiveness
	and advantage of our result.},
  keywords = {Hinfin control;asymptotic stability;delays;discrete time systems;filtering
	theory;linear matrix inequalities;optimisation;state-space methods;2-D
	FM LSS model;Hinfin filtering;Hinfin norm bound;LMI;bounded real
	lemma;linear objective optimization problem;local state-space Fornasini-Marchesini
	second model;state delays;two-dimensional discrete time-invariant
	systems;Attenuation;Control systems;Delay systems;Filtering;Hydrogen;Kalman
	filters;Nonlinear filters;Stability;Two dimensional displays;White
	noise;2-D state-delayed systems;H? disturbance attenuation;H? filtering;Linear
	matrix inequality (LMI)},
  owner = {carsten},
  timestamp = {2013.06.30}
}

@INPROCEEDINGS{5707419,
  author = {Zhi-Yong Feng and Li Xu and Anazawa, Y.},
  title = {{S}ufficient {LMI} conditions for {H}-infinitys; static output feedback
	control of 2-{D} systems},
  booktitle = {Control Automation Robotics Vision (ICARCV), 2010 11th International
	Conference on},
  year = {2010},
  pages = {57-60},
  doi = {10.1109/ICARCV.2010.5707419},
  abstract = {This paper investigates the problems of H? static output feedback
	(SOF) control of two-dimensional (2-D) discrete systems described
	by the Roesser model and Fornasini-Marchesini second model, respectively.
	By applying the 2-D Bounded Real Lemma combined with a slack variable
	technique, some sufficient linear matrix inequality (LMI)-based conditions
	for the existence of SOF controllers are established. Numerical examples
	are given to illustrate the effectiveness of the proposed LMI-based
	design method.},
  keywords = {H? control;discrete systems;feedback;linear matrix inequalities;2-D
	bounded real lemma;2-D system;Fornasini-Marchesini second model;H?
	static output feedback control;LMI condition;Roesser model;SOF control;linear
	matrix inequality;slack variable technique;two dimensional discrete
	system;Frequency modulation;Linear matrix inequalities;Numerical
	models;Output feedback;Robustness;Stability analysis;2-D discrete
	systems;H? control;linear matrix inequality (LMI);static output feedback},
  owner = {carsten},
  timestamp = {2013.06.30}
}

@INPROCEEDINGS{AlfHma10,
  author = {Alfidi, M. and Hmamed, A. and Tadeo, F.},
  title = {{S}tabilization and positiveness of 2-{D} systems by local state-feedback:
	{A}n {LMI} approach},
  booktitle = {Control Automation (MED), 2010 18th Mediterranean Conference on},
  year = {2010},
  pages = {663-668},
  doi = {10.1109/MED.2010.5547793},
  abstract = {This paper investigates the stabilization of 2-D systems, described
	by the Second Fornasini-Marchesini Model, when the closed-loop is
	required to be positive. More precisely, a necessary and sufficient
	condition, expressed in terms of LMIs, is derived for the existence
	of controllers guaranteeing that the closed-loop system is asymptotically
	stable and positive, using static feedback of the local state. A
	numerical example is provided to illustrate that this condition makes
	possible to synthesize practical controllers.},
  file = {AlfHma10.pdf:AlfHma10.pdf:PDF},
  keywords = {Asymptotic stability;Linear matrix inequalities;Mathematical model;Numerical
	models;Numerical stability;Stability analysis;Symmetric matrices;2-D
	Systems;Linear Matrix Inequalities (LMIs);Positive Systems;Second
	Fornasini-Marchesini Model;Stabilization},
  owner = {carsten},
  timestamp = {2013.06.30}
}

@ARTICLE{BroWil74,
  author = {Roger W. Brockett and Jacques L. Willems},
  title = {{D}iscretized partial differential equations: {E}xamples of control
	systems defined on modules},
  journal = {Automatica},
  year = {1974},
  volume = {10},
  number = {5},
  pages = {507 - 515},
  issn = {0005-1098},
  doi = {http://dx.doi.org/10.1016/0005-1098(74)90051-X},
  url = {http://www.sciencedirect.com/science/article/pii/000510987490051X},
  file = {BroWil74.pdf:BroWil74.pdf:PDF},
  owner = {carsten},
  timestamp = {2013.06.30}
}

@INPROCEEDINGS{Che09,
  author = {Shyh-Feng Chen},
  title = {{S}tability analysis of 2-{D} state-delayed systems with saturation
	nonlinearities},
  booktitle = {Asian Control Conference, 2009. ASCC 2009. 7th},
  year = {2009},
  pages = {412-417},
  abstract = {This paper addresses the stability problem of 2D state-delayed systems
	described by the Fornasini-Marchesini second local state-space and
	the Roesser models under saturation nonlinearities. In terms of linear
	matrix inequalities (LMIs), a sufficient condition is derived to
	ensure the asymptotic stability of the systems. Two numerical examples
	are given to demonstrate the theoretical results.},
  keywords = {asymptotic stability;control nonlinearities;control system analysis;delay
	systems;linear matrix inequalities;stability;state-space methods;2D
	state-delayed system;Fornasini-Marchesini second local state-space
	model;Roesser model;asymptotic stability;linear matrix inequality;saturation
	nonlinearity;stability analysis;Asymptotic stability;Control nonlinearities;Digital
	filters;Linear matrix inequalities;Nonlinear control systems;Space
	technology;Stability analysis;Sufficient conditions;Symmetric matrices;Two
	dimensional displays},
  owner = {carsten},
  timestamp = {2013.06.30}
}

@INPROCEEDINGS{CuiHu10,
  author = {Jia-Rui Cui and Guang-Da Hu},
  title = {{S}tability for 2-{D} linear discrete systems with stochastic parameters},
  booktitle = {Logistics Systems and Intelligent Management, 2010 International
	Conference on},
  year = {2010},
  volume = {2},
  pages = {1243-1446},
  doi = {10.1109/ICLSIM.2010.5461160},
  abstract = {The present paper is concerned with stability of two-dimensional (2-D)
	discrete systems with stochastic parameters. First, 2-D discrete
	system model with stochastic parameters is established by extending
	system matrices of the well-known Fornasini-Marchesini's second model
	into stochastic matrices. The elements of these stochastic matrices
	are second-order, weakly stationary white noise sequences. Second,
	mean-square asymptotic stability is derived using linear matrix inequality
	theory. Our results can be seen as extensions of the 2-D linear deterministic
	case. Finally, an illustrative example is provided.},
  keywords = {asymptotic stability;discrete systems;matrix algebra;mean square error
	methods;stochastic systems;2D linear discrete systems;Fornasini-Marchesini
	second model;extending system matrices;matrix inequality theory;mean
	square asymptotic stability;stochastic matrices;stochastic parameters;Asymptotic
	stability;Circuits;Linear matrix inequalities;Paper technology;Signal
	processing;Stability criteria;Stochastic resonance;Stochastic systems;Two
	dimensional displays;White noise;2-D linear discrete systems;LMI;stability;stochastic
	parameters},
  owner = {carsten},
  timestamp = {2013.06.30}
}

@INPROCEEDINGS{DanXin06,
  author = {Peng Dan and Guan Xinping and Long Chengnian},
  title = {{H}-infinity {C}ontrol of 2-{D} {S}tate-{D}elayed {S}ystems with
	{U}ncertainties},
  booktitle = {Control Conference, 2006. CCC 2006. Chinese},
  year = {2006},
  pages = {785-790},
  doi = {10.1109/CHICC.2006.280741},
  abstract = {This paper studies robust Hinfin control problem for 2D discrete systems
	with state delays. Firstly, Hinfin performance of 2D discrete state-delayed
	systems in local state-space (LSS) Fornasini-Marchesini (FM) second
	model is considered. The definition of Hinfin performance is proposed
	and based on it, we obtain the sufficient conditions described by
	RDI and LMI, respectively, i.e. bounded real lemma, which assure
	the stability and H infin performance of 2D state-delayed systems.
	Then we design a state feedback controller applying the LMI condition,
	which makes 2D uncertain state-delayed system have Hinfin performance
	Upsi. Moreover, an optimization problem is proposed to guarantee
	the minimum Hinfin norm bound Upsi and the according controller can
	be obtained. Finally, a numerical example is given to demonstrate
	the effectiveness of our results},
  keywords = {Hinfin control;delays;discrete systems;linear matrix inequalities;optimisation;robust
	control;state feedback;uncertain systems;2D discrete state-delayed
	system;2D uncertain state-delayed system;Fornasini-Marchesini second
	model;bounded real lemma;linear matrix inequality;local state-space;robust
	Hinfin control;state feedback controller;Control systems;Costs;Delay
	effects;Multidimensional systems;Output feedback;Performance analysis;Robust
	control;Robust stability;State feedback;Sufficient conditions;2-D
	discrete state-delayed system;H? performance;bounded real lemma;linear
	matrix inequality (LMI);state feedback controller},
  owner = {carsten},
  timestamp = {2013.06.30}
}

@INPROCEEDINGS{DeOso11,
  author = {De Souza, Carlos E. and Osowsky, J.},
  title = {${\cal H}_\infty$ filtering for a class of 2-{D} discrete-time parameter-varying
	systems},
  booktitle = {Multidimensional (nD) Systems (nDs), 2011 7th International Workshop
	on},
  year = {2011},
  pages = {1-7},
  doi = {10.1109/nDS.2011.6076851},
  abstract = {This paper deals with H? filtering for two-dimensional (2-D) discrete-time
	linear parameter-varying systems described by the Fornasini-Marchesini
	second model with matrices that depend rationally on convex-bounded
	time-varying parameters. A method is proposed for the design of robust
	2-D filters with a prescribed H? performance for all admissible parameters'
	trajectories. The filter design method builds on a difference-algebraic
	representation of the underlying system and is based on a parameter-dependent
	Lyapunov function with affine dependence on the system parameters.
	The filtering method is then adapted for designing gain-scheduled
	(parameter-varying) H? filters. The proposed filter designs are tailored
	via linear matrix inequalities. A numerical example illustrates the
	potentials of the filtering methods.},
  file = {DeOso11.pdf:DeOso11.pdf:PDF},
  keywords = {H? control;discrete time systems;filtering theory;linear matrix inequalities;linear
	systems;time-varying systems;2D discrete time linear parameter varying
	system;Fornasini-Marchesini second model;H infinity filtering;convex-bounded
	time-varying parameter;difference-algebraic representation;gain-scheduled
	H infinity filter;linear matrix inequality;parameter-dependent Lyapunov
	function;robust 2D filter;Estimation error;Frequency modulation;Linear
	matrix inequalities;Robustness;Symmetric matrices;Trajectory;Vectors},
  owner = {carsten},
  timestamp = {2013.06.30}
}

@ARTICLE{DuXie00,
  author = {Chunling Du and Lihua Xie and Yeng-Chai Soh},
  title = {{H} infin; filtering of 2-{D} discrete systems},
  journal = {Signal Processing, IEEE Transactions on},
  year = {2000},
  volume = {48},
  number = {6},
  pages = {1760-1768},
  issn = {1053-587X},
  doi = {10.1109/78.845933},
  abstract = {This paper deals with H? filtering of two-dimensional (2-D) linear
	discrete systems described by a 2-D local state-space (LSS) Fornasini-Marchesini
	(1978) second model. Several versions of the bounded real lemma of
	the 2-D discrete systems are established. The 2-D bounded real lemma
	allows us to solve the finite horizon and infinite horizon H? filtering
	problems using a Riccati difference equation or a Riccati inequality
	approach. Further a solution to the infinite horizon H? filtering
	problem based on a linear matrix inequality (LMI) approach is developed.
	Our results extend existing work for one-dimensional (1-D) systems
	to the 2-D case and give a state-space solution to the bounded realness
	of 2-D discrete systems as well as 2-D H? filtering for the first
	time. Numerical examples are given to demonstrate the Riccati difference
	equation approach to the 2-D finite horizon H? filtering problem
	and the LMI approach to the 2-D infinite horizon H? filtering problem},
  keywords = {H? optimisation;discrete systems;filtering theory;matrix algebra;1D
	systems;2D bounded real lemma;2D discrete systems;2D local state-space
	model;Fornasini-Marchesini second model;Riccati difference equation;Riccati
	inequality;finite horizon H? filtering;infinite horizon H? filtering;linear
	discrete systems;linear matrix inequality;state-space solution;Difference
	equations;Estimation error;Filtering algorithms;Infinite horizon;Kalman
	filters;Linear matrix inequalities;Nonlinear filters;Power system
	modeling;Riccati equations;Two dimensional displays},
  owner = {carsten},
  timestamp = {2013.06.30}
}

@ARTICLE{DuXie99,
  author = {Du, C. and Xie, L.},
  title = {{S}tability analysis and stabilization of uncertain two-dimensional
	discrete systems: an {LMI} approach},
  journal = {Circuits and Systems I: Fundamental Theory and Applications, IEEE
	Transactions on},
  year = {1999},
  volume = {46},
  number = {11},
  pages = {1371-1374},
  issn = {1057-7122},
  doi = {10.1109/81.802835},
  abstract = {The authors consider the problem of robust stability analysis and
	stabilization of uncertain two-dimensional (2-D) discrete systems
	described by the Fornasini-Marchesini second local state-space (LSS)
	model. Sufficient conditions for the uncertain 2-D discrete systems
	to be robustly stable are given in terms of linear matrix inequalities
	(LMI's). The LMI approach is also introduced to solve the robust
	stabilization problem of the uncertain 2-D systems via static-state
	feedback. Furthermore, sufficient conditions for the 2-D uncertain
	systems to be free of overflow oscillations under a saturation arithmetic
	are established},
  keywords = {control system analysis;discrete systems;feedback;matrix algebra;multidimensional
	systems;robust control;stability;state-space methods;uncertain systems;Fornasini-Marchesini
	second LSS model;linear matrix inequalities;local state-space model;overflow
	oscillation free systems;robust stability analysis;saturation arithmetic;stabilization;static-state
	feedback;two-dimensional discrete systems;uncertain 2D discrete systems;Arithmetic;Feedback;Finite
	wordlength effects;Linear matrix inequalities;Robust stability;Robustness;Stability
	analysis;Sufficient conditions;Two dimensional displays;Uncertain
	systems},
  owner = {carsten},
  timestamp = {2013.06.30}
}

@ARTICLE{Goo77,
  author = {Goodman, D.},
  title = {{S}ome stability properties of two-dimensional linear shift-invariant
	digital filters},
  journal = {IEEE Transactions on Circuits and Systems@ARTICLE{1455348, author={JURY,
	E.I.}, journal={Proceedings of the IEEE}, title={Stability of multidimensional
	scalar and matrix polynomials}, year={1978}, volume={66}, number={9},
	pages={1018-1047}, keywords={Cepstral analysis;Differential equations;Digital
	filters;Impulse testing;Multidimensional systems;Network synthesis;Numerical
	stability;Polynomials;Stability analysis;Transmission line matrix
	methods}, doi={10.1109/PROC.1978.11079}, ISSN={0018-9219},}},
  year = {1977},
  volume = {24},
  number = {4},
  pages = {201-208},
  issn = {0098-4094},
  doi = {10.1109/TCS.1977.1084322},
  file = {Goo77.pdf:Goo77.pdf:PDF},
  keywords = {Digital filters;Multidimensional digital filters;Recursive digital
	filter stability;Circuits and systems;Digital filters;Helium;Nonlinear
	filters;Poles and zeros;Polynomials;Stability;Sufficient conditions;Transfer
	functions},
  owner = {carsten},
  timestamp = {2013.06.30}
}

@ARTICLE{Hin97,
  author = {Hinamoto, T.},
  title = {{S}tability of 2-{D} discrete systems described by the {F}ornasini-{M}archesini
	second model},
  journal = {Circuits and Systems I: Fundamental Theory and Applications, IEEE
	Transactions on},
  year = {1997},
  volume = {44},
  number = {3},
  pages = {254-257},
  issn = {1057-7122},
  doi = {10.1109/81.557373},
  abstract = {Based on the Fornasini-Marchesini second local state-space (LSS) model,
	criteria that sufficiently guarantee the asymptotic stability of
	2-D discrete systems are given. A sufficient condition for a 2-D
	nonlinear discrete system to be free of overflow oscillations is
	then shown in the case when a 2-D discrete system is employed by
	saturation arithmetic. Finally, an upper bound on parameter variations
	which guarantees the asymptotic stability of a perturbed 2-D discrete
	system is considered. It is shown that the upper bound stated here
	is less conservative than the existing ones},
  file = {Hin97.pdf:Hin97.pdf:PDF},
  keywords = {Lyapunov matrix equations;asymptotic stability;discrete systems;multidimensional
	systems;nonlinear systems;stability criteria;state-space methods;2D
	discrete systems;Fornasini-Marchesini second model;asymptotic stability;nonlinear
	discrete system;overflow oscillations free system;parameter variations;perturbed
	discrete system;saturation arithmetic;second local state-space model;upper
	bound;Arithmetic;Asymptotic stability;Equations;Finite wordlength
	effects;Stability criteria;Sufficient conditions;Symmetric matrices;Transfer
	functions;Two dimensional displays;Upper bound},
  owner = {carsten},
  timestamp = {2013.06.30}
}

@INPROCEEDINGS{HinDoi94,
  author = {Hinamoto, T. and Doi, A.},
  title = {{A}n efficient technique for the design of 2-{D} recursive digital
	filters with guaranteed stability},
  booktitle = {Circuits and Systems, 1994. APCCAS '94., 1994 IEEE Asia-Pacific Conference
	on},
  year = {1994},
  pages = {430-435},
  doi = {10.1109/APCCAS.1994.514588},
  abstract = {A technique is developed for designing two-dimensional (2-D) recursive
	digital filters with guaranteed stability. The filter is described
	by a 2-D rational transfer function which corresponds to a linear
	difference equation with either rectangular or triangular input and
	output masks. In the case of rectangular (triangular) input and output
	masks, the denominator polynomial is derived from the stable matrix
	of the Roesser model (the Fornasini-Marchesini second model). In
	the proposed technique, the denominator and numerator of the filter
	are designed separately and recursively. First, the denominator coefficients
	are found by minimizing a performance index through the alternating
	variable method. The numerator coefficients are then determined analytically
	by solving linear simultaneous equations. The above process will
	be repeated until there is negligible change in the objective function.
	Finally, a numerical example is given to illustrate the utility of
	the proposed technique},
  keywords = {circuit stability;filtering theory;recursive filters;transfer functions;two-dimensional
	digital filters;2D rational transfer function;2D recursive digital
	filters;Fornasini-Marchesini second model;Roesser model;alternating
	variable method;denominator coefficients;denominator polynomial;linear
	difference equation;linear simultaneous equations;numerator coefficients;objective
	function;performance index;stability;stable matrix;two-dimensional
	filters;Design engineering;Difference equations;Digital filters;Gravity;Magnetic
	separation;Nonlinear filters;Performance analysis;Polynomials;Stability;Transfer
	functions},
  owner = {carsten},
  timestamp = {2013.06.30}
}

@INPROCEEDINGS{ItoDat04,
  author = {Ito, Y. and Date, W. and Babaguchi, N.},
  title = {{S}tability analysis and $\cal {H}_\infty$-norm computation of 2{D}
	discrete systems described by {F}ornasini-{M}archesini second model},
  booktitle = {IEEE International Symposium on Communications and Information Technology},
  year = {2004},
  volume = {2},
  pages = {835-840 vol.2},
  doi = {10.1109/ISCIT.2004.1413834},
  abstract = {The paper presents a stability criterion and a method for computing
	the H? norm of 2D discrete systems. Both methods are based on linear
	matrix inequalities (LMI), and, hence, they are computationally tractable.
	In deriving these methods, the finite-order Fourier series approximation
	of the solution for frequency-dependent LMI (FDLMI), and the properties
	of the quadratic form representation of finite-order Fourier series
	play key roles. From the point of view of the proposed methods, existing
	LMI-based methods can be regarded as ones which are obtained by the
	Fourier series approximation of order zero, and thus, it is expected
	that the proposed methods lead to less conservative results. This
	is illustrated by numerical examples. The effectiveness of the proposed
	methods is also illustrated by numerical examples.},
  comment = {Extension of ItoDat04a to H-infinity performance. Similar to results
	by Blimann, without aymptotic exactness proof (which is clear, though).},
  file = {ItoDat04.pdf:ItoDat04.pdf:PDF},
  keywords = {Fourier series;approximation theory;asymptotic stability;discrete
	systems;linear matrix inequalities;multidimensional signal processing;2D
	discrete systems;Fornasini-Marchesini second model;H? norm computation;asymptotic
	stability;finite-order Fourier series approximation;frequency-dependent
	linear matrix inequalities;multidimensional signal processing;stability
	analysis;Asymptotic stability;Fourier series;Frequency;Indium tin
	oxide;Linear matrix inequalities;Propulsion;Stability analysis;Stability
	criteria},
  owner = {carsten},
  timestamp = {2013.06.30}
}

@INPROCEEDINGS{ItoDat04a,
  author = {Ito, Y. and Date, W. and Babaguchi, N.},
  title = {{LMI}-based stability condition for 2{D} discrete systems described
	by the {F}ornasini-{M}archesini second model},
  booktitle = {Circuits and Systems, 2004. MWSCAS '04. The 2004 47th Midwest Symposium
	on},
  year = {2004},
  volume = {2},
  pages = {II-557-II-560 vol.2},
  doi = {10.1109/MWSCAS.2004.1354219},
  abstract = {This paper presents a stability criterion for 2D discrete systems
	described by the Fornasini-Marchesini second model. The method presented
	in this paper is based on linear matrix inequalities (LMI), and hence,
	it is computationally tractable. In deriving the method, finite-order
	Fourier series approximation of the solution for frequency-dependent
	LMI (FDLMI), and the properties of quadratic form representation
	of finite-order Fourier series play key roles. From the view point
	of the proposed method, the existing LMI-based condition can be regarded
	as the one which is obtained by Fourier series approximation of order
	zero, and thus, it is expected that the proposed method leads to
	less conservative results. This is illustrated by a numerical example.},
  file = {ItoDat04a.pdf:ItoDat04a.pdf:PDF},
  keywords = {Fourier series;discrete systems;linear matrix inequalities;polynomial
	approximation;stability;2D discrete systems;Fornasini-Marchesini
	second model;Fourier series approximation;LMI-based condition;LMI-based
	stability condition;finite-order Fourier series;frequency-dependent
	LMI;linear matrix inequalities;quadratic form representation;stability
	criterion;Asymptotic stability;Educational institutions;Fourier series;Frequency;Indium
	tin oxide;Linear matrix inequalities;Stability analysis;Stability
	criteria;Sufficient conditions},
  owner = {carsten},
  timestamp = {2013.06.30}
}

@ARTICLE{Jur78,
  author = {Jury, E.I.},
  title = {{S}tability of multidimensional scalar and matrix polynomials},
  journal = {Proceedings of the IEEE},
  year = {1978},
  volume = {66},
  number = {9},
  pages = {1018-1047},
  issn = {0018-9219},
  doi = {10.1109/PROC.1978.11079},
  file = {Jur78.pdf:Jur78.pdf:PDF},
  keywords = {Cepstral analysis;Differential equations;Digital filters;Impulse testing;Multidimensional
	systems;Network synthesis;Numerical stability;Polynomials;Stability
	analysis;Transmission line matrix methods},
  owner = {carsten},
  timestamp = {2013.06.30}
}

@ARTICLE{JusSha73,
  author = {Justice, J. and Shanks, J.},
  title = {{S}tability criterion for {N} -dimensional digital filters},
  journal = tac,
  year = {1973},
  volume = {18},
  number = {3},
  pages = {284-286},
  issn = {0018-9286},
  doi = {10.1109/TAC.1973.1100290},
  file = {JusSha73.pdf:JusSha73.pdf:PDF},
  keywords = {Multidimensional digital filters;Recursive digital filter stability;Convolution;Digital
	filters;Stability criteria;Sufficient conditions},
  owner = {carsten},
  timestamp = {2013.06.30}
}

@ARTICLE{Kam75,
  author = {Kamen, E.W.},
  title = {{O}n an algebraic theory of systems defined by convolution operators},
  journal = {Mathematical systems theory},
  year = {1975},
  volume = {9},
  number = {1},
  pages = {57-74},
  issn = {0025-5661},
  doi = {10.1007/BF01698126},
  url = {http://dx.doi.org/10.1007/BF01698126},
  language = {English},
  file = {Kam75.pdf:Kam75.pdf:PDF},
  owner = {carsten},
  publisher = {Springer-Verlag},
  timestamp = {2013.06.30}
}

@ARTICLE{KamKha84,
  author = {Kamen, Edward W. and Khargonekar, P.P.},
  title = {{O}n the control of linear systems whose coefficients are functions
	of parameters},
  journal = tac,
  year = {1984},
  volume = {29},
  number = {1},
  pages = {25-33},
  issn = {0018-9286},
  doi = {10.1109/TAC.1984.1103374},
  file = {KamKha84.pdf:KamKha84.pdf:PDF},
  keywords = {Linear systems;Stability, linear systems;Algebra;Closed-form solution;Control
	systems;Difference equations;Feedback;Linear systems;Real time systems;Regulators;Riccati
	equations;Temperature dependence},
  owner = {carsten},
  timestamp = {2013.06.30}
}

@ARTICLE{Kan94,
  author = {Kanellakis, A.},
  title = {{N}ew stability results for 2-{D} discrete systems based on the {F}ornasini-{M}archesini
	state space model},
  journal = {Circuits, Devices and Systems, IEE Proceedings -},
  year = {1994},
  volume = {141},
  number = {5},
  pages = {427-432},
  issn = {1350-2409},
  doi = {10.1049/ip-cds:19941368},
  abstract = {New conditions for the internal stability of a 2-D discrete system
	described by the Fornasini-Marchesini (FM) local state-space model
	are presented. Further, the stability margin of a 2-D discrete system
	described by a (FM) state-space model is considered and methods to
	compute it or to obtain lower bounds are developed. These methods
	are based on the various forms of the Lyapunov equation for 2-D systems.
	Finally, a sufficient condition for the system to remain stable under
	parameter variations is presented},
  file = {Kan94.pdf:Kan94.pdf:PDF},
  keywords = {Lyapunov methods;discrete systems;multidimensional systems;stability
	criteria;state-space methods;2-D discrete systems;Fornasini-Marchesini
	local state-space model;Lyapunov equation;internal stability},
  owner = {carsten},
  timestamp = {2013.06.30}
}

@ARTICLE{KanThe89,
  author = {Kanellakis, A. and Theodorou, N. and TZAFESTAS, S.},
  title = {{A} new stability test for two-dimensional discrete systems using
	bilinear continuous fractions},
  journal = tcs,
  year = {1989},
  volume = {36},
  number = {1},
  pages = {141-144},
  issn = {0098-4094},
  doi = {10.1109/31.16580},
  file = {KanThe89.pdf:KanThe89.pdf:PDF},
  keywords = {control system analysis;discrete time systems;multidimensional systems;stability;2D
	systems;SISO systems;bilinear continuous fractions;bilinear discrete
	reactance function;control system analysis;discrete-time systems;multidimensional
	systems;single-input single-output;stability test;two-dimensional
	discrete systems;z-domain;Circuit synthesis;Circuit testing;Circuits
	and systems;Electronic circuits;Laplace equations;Network synthesis;Robots;Stability;System
	testing;Transfer functions},
  owner = {carsten},
  timestamp = {2013.06.30}
}

@ARTICLE{KarSin01,
  author = {Kar, H. and Singh, V.},
  title = {{S}tability analysis of 1-{D} and 2-{D} fixed-point state-space digital
	filters using any combination of overflow and quantization nonlinearities},
  journal = {Signal Processing, IEEE Transactions on},
  year = {2001},
  volume = {49},
  number = {5},
  pages = {1097-1105},
  issn = {1053-587X},
  doi = {10.1109/78.917812},
  abstract = {A new criterion, together with its frequency-domain interpretation
	for the global asymptotic stability of zero-input one-dimensional
	(1-D) state-space digital filters under various combinations of overflow
	and quantization nonlinearities and for the situation where quantization
	occurs after summation only, is presented. A condition in closed
	form involving solely the parameters of the state transition matrix
	for the nonexistence of limit cycles in second-order digital filters
	is derived. Improved versions of some of the stability results due
	to Leclerc and Bauer (1994) are established. Finally, the approach
	is extended to two-dimensional (2-D) digital filters described by
	the Roesser and the Fornasini-Marchesini second local state-space
	models},
  keywords = {asymptotic stability;circuit stability;filtering theory;fixed point
	arithmetic;matrix algebra;nonlinear filters;quantisation (signal);state-space
	methods;two-dimensional digital filters;1D fixed-point state-space
	digital filters;2D fixed-point state-space digital filters;closed
	form condition;global asymptotic stability;overflow nonlinearity;quantization
	nonlinearity;second local state-space models;second-order digital
	filters;stability analysis;state transition matrix;zero-input 1D
	state-space digital filters;Asymptotic stability;Digital filters;Frequency
	domain analysis;Limit-cycles;Lyapunov method;Quantization;Stability
	analysis;Symmetric matrices;System testing;Two dimensional displays},
  owner = {carsten},
  timestamp = {2013.06.30}
}

@ARTICLE{KarSin01a,
  author = {Kar, H. and Singh, V.},
  title = {{S}tability analysis of 2-{D} digital filters described by the {F}ornasini-{M}archesini
	second model using overflow nonlinearities},
  journal = {Circuits and Systems I: Fundamental Theory and Applications, IEEE
	Transactions on},
  year = {2001},
  volume = {48},
  number = {5},
  pages = {612-617},
  issn = {1057-7122},
  doi = {10.1109/81.922464},
  abstract = {This paper discusses new criteria for the global asymptotic stability
	of two-dimensional (2-D) digital filters described by the Fernasini-Marchesini
	second local state-space model subject to overflow nonlinearities.
	For saturation and triangular arithmetics, the presented approach
	will always lead to a larger overflow stability region in the parameter-space,
	as compared to a recent criterion due to Liu; for other overflow
	nonlinearities, new criteria may generally provide results as supplement
	to those obtainable from Liu's criterion. The approach leads to a
	more relaxed saturation overflow stability condition, as compared
	to a recent criterion due to Hinamoto. Finally, the approach is extended
	to the situations involving quantization nonlinearities},
  keywords = {asymptotic stability;circuit stability;digital arithmetic;quantisation
	(signal);two-dimensional digital filters;2D digital filters;Fornasini-Marchesini
	second model;Liu's criterion;global asymptotic stability;overflow
	nonlinearities;quantization nonlinearities;stability analysis;triangular
	arithmetics;Arithmetic;Asymptotic stability;Circuits;Digital filters;Limit-cycles;Multidimensional
	systems;Quantization;Stability analysis;Stability criteria;Symmetric
	matrices},
  owner = {carsten},
  timestamp = {2013.06.30}
}

@ARTICLE{KarSin04,
  author = {Kar, H. and Singh, V.},
  title = {{R}obust stability of 2-{D} discrete systems described by the {F}ornasini-{M}archesini
	second model employing quantization/overflow nonlinearities},
  journal = {Circuits and Systems II: Express Briefs, IEEE Transactions on},
  year = {2004},
  volume = {51},
  number = {11},
  pages = {598-602},
  issn = {1549-7747},
  doi = {10.1109/TCSII.2004.836880},
  abstract = {New criteria for the global asymptotic stability of the uncertain
	two-dimensional (2-D) discrete systems described by the Fornasini-Marchesini
	second local state-space model under various combinations of overflow
	and quantization nonlinearities are established. Sufficient conditions
	for the uncertain 2-D discrete systems to be free of overflow oscillations
	under a generalized overflow arithmetic are presented.},
  keywords = {Lyapunov methods;asymptotic stability;discrete time filters;filtering
	theory;linear matrix inequalities;state-space methods;two-dimensional
	digital filters;uncertain systems;2D discrete systems;Fornasini-Marchesini
	second model;Lyapunov methods;asymptotic stability;finite wordlength
	effects;linear matrix inequality;local state-space model;overflow
	arithmetic;overflow nonlinearities;overflow oscillations;quantization
	nonlinearities;uncertain systems;Arithmetic;Asymptotic stability;Data
	processing;Finite wordlength effects;Quantization;Robust stability;Sufficient
	conditions;Two dimensional displays;Uncertain systems;Uncertainty;2-D;65;Asymptotic
	stability;Lyapunov methods;discrete systems;finite worldlength effects;linear
	matrix inequality;two-dimensional;uncertain systems},
  owner = {carsten},
  timestamp = {2013.06.30}
}

@ARTICLE{KarSin99,
  author = {Kar, H. and Singh, V.},
  title = {{A}n improved criterion for the asymptotic stability of 2-{D} digital
	filters described by the {F}ornasini-{M}archesini second model using
	saturation arithmetic},
  journal = {Circuits and Systems I: Fundamental Theory and Applications, IEEE
	Transactions on},
  year = {1999},
  volume = {46},
  number = {11},
  pages = {1412-1413},
  issn = {1057-7122},
  doi = {10.1109/81.802847},
  abstract = {A greatly relaxed version of a recently proposed criterion for the
	asymptotic stability of the Fornasini-Marchesini second local state-space
	model, using saturation arithmetic is presented},
  keywords = {asymptotic stability;digital arithmetic;filtering theory;matrix algebra;stability
	criteria;state-space methods;two-dimensional digital filters;2D digital
	filters;Fornasini-Marchesini second model;asymptotic stability;local
	state-space model;relaxed version;saturation arithmetic;Asymptotic
	stability;Circuits;Digital arithmetic;Digital filters;Lyapunov method;Multidimensional
	systems;Symmetric matrices;Two dimensional displays},
  owner = {carsten},
  timestamp = {2013.06.30}
}

@PHDTHESIS{Kno12,
  author = {Steffi Knorn},
  title = {{A} two-dimensional systems stability analysis of vehicle platoons},
  year = {2012},
  file = {Kno12.pdf:Kno12.pdf:PDF},
  owner = {carsten},
  school = {Hamilton Institute, National University of Ireland Maynooth, Ireland},
  timestamp = {2013.06.30}
}

@ARTICLE{LiaWan12,
  author = {Jinling Liang and Zidong Wang and Xiaohui Liu and Louvieris, P.},
  title = {{R}obust {S}ynchronization for 2-{D} {D}iscrete-{T}ime {C}oupled
	{D}ynamical {N}etworks},
  journal = {Neural Networks and Learning Systems, IEEE Transactions on},
  year = {2012},
  volume = {23},
  number = {6},
  pages = {942-953},
  issn = {2162-237X},
  doi = {10.1109/TNNLS.2012.2193414},
  abstract = {In this paper, a new synchronization problem is addressed for an array
	of 2-D coupled dynamical networks. The class of systems under investigation
	is described by the 2-D nonlinear state space model which is oriented
	from the well-known Fornasini-Marchesini second model. For such a
	new 2-D complex network model, both the network dynamics and the
	couplings evolve in two independent directions. A new synchronization
	concept is put forward to account for the phenomenon that the propagations
	of all 2-D dynamical networks are synchronized in two directions
	with influence from the coupling strength. The purpose of the problem
	addressed is to first derive sufficient conditions ensuring the global
	synchronization and then extend the obtained results to more general
	cases where the system matrices contain either the norm-bounded or
	the polytopic parameter uncertainties. An energy-like quadratic function
	is developed, together with the intensive use of the Kronecker product,
	to establish the easy-to-verify conditions under which the addressed
	2-D complex network model achieves global synchronization. Finally,
	a numerical example is given to illustrate the theoretical results
	and the effectiveness of the proposed synchronization scheme.},
  keywords = {discrete time systems;nonlinear control systems;robust control;state-space
	methods;synchronisation;2D complex network model;2D discrete-time
	coupled dynamical networks;2D nonlinear state space model;Fornasini-Marchesini
	second model;Kronecker product;energy-like quadratic function;global
	synchronization;robust synchronization;Arrays;Complex networks;Couplings;Linear
	matrix inequalities;Robustness;Synchronization;Uncertain systems;2-D
	systems;complex networks;coupling;parameter uncertainties;synchronization},
  owner = {carsten},
  timestamp = {2013.06.30}
}

@INPROCEEDINGS{Liu96,
  author = {Liu, D.},
  title = {{S}tability analysis of two-dimensional nonlinear systems using {L}yapunov's
	second method},
  booktitle = {Decision and Control, 1996., Proceedings of the 35th IEEE Conference
	on},
  year = {1996},
  volume = {1},
  pages = {574-579 vol.1},
  doi = {10.1109/CDC.1996.574382},
  abstract = {In the present paper, the second method of Lyapunov is utilized to
	establish sufficient conditions for the global asymptotic stability
	of the trivial solution of nonlinear, shift-invariant 2-D (two-dimensional)
	systems described by the Fornasini-Marchesini second state-space
	model (1976, 1978) which are endowed with saturation type nonlinearities.
	The Lyapunov stability concepts are introduced for 2-D systems. Results
	for the global asymptotic stability of the null solution of 2-D Fornasini-Marchesini
	second model with saturation type nonlinearities are established.
	Several classes of Lyapunov functions are used in establishing the
	present results including vector norms and the quadratic form. When
	the quadratic form Lyapunov functions are used, the present results
	involve necessary and sufficient conditions under which positive
	definite matrices can be used to generate Lyapunov functions for
	the 2-D nonlinear systems considered herein},
  issn = {0191-2216},
  keywords = {Lyapunov methods;asymptotic stability;control system analysis;multidimensional
	systems;nonlinear systems;state-space methods;2D nonlinear systems;Fornasini-Marchesini
	second state-space model;Lyapunov's second method;global asymptotic
	stability;necessary and sufficient conditions;positive definite matrices;quadratic
	form;saturation type nonlinearities;shift-invariant 2D systems;stability
	analysis;vector norms;Artificial intelligence;Asymptotic stability;Equations;Limit-cycles;Linear
	systems;Lyapunov method;Nonlinear systems;Stability analysis;Two
	dimensional displays;Vectors},
  owner = {carsten},
  timestamp = {2013.06.30}
}

@ARTICLE{LuoLu97,
  author = {Hong Luo and Wu-Sheng Lu and Antoniou, A.},
  title = {{N}ew algorithms for the derivation of the transfer-function matrices
	of 2-{D} state-space discrete systems},
  journal = csI,
  year = {1997},
  volume = {44},
  number = {2},
  pages = {112-119},
  issn = {1057-7122},
  doi = {10.1109/81.554325},
  abstract = {New algorithms for the derivation of the transfer-function matrices
	of two-dimensional (2-D) discrete systems from the Roesser and Fornasini-Marchesini
	state-space models are presented. Two key steps in developing the
	algorithms are as follows. First, the transfer-function matrix is
	reformulated in terms of the characteristic polynomials of the matrices
	involved. Second, an efficient algorithm for the determination of
	1-D polynomial coefficients is developed and is, in turn, used to
	determine the coefficient matrices of the 2-D transfer-function matrix.
	The proposed algorithms are computationally efficient and reliable.
	The efficiency of the algorithms is illustrated by comparing the
	proposed method with two existing methods through examples},
  keywords = {discrete systems;multidimensional systems;polynomials;state-space
	methods;transfer function matrices;1D polynomial coefficients;2D
	state-space discrete systems;Fornasini-Marchesini state-space models;Roesser
	state-space models;characteristic polynomials;coefficient matrices;computational
	efficiency;transfer-function matrices;Councils;Design methodology;Discrete
	Fourier transforms;Equations;Polynomials;Reduced order systems;Stability
	analysis;Transfer functions;Two dimensional displays;Vectors},
  owner = {carsten},
  timestamp = {2013.06.30}
}

@ARTICLE{Mas99,
  author = {Mastorakis, NikosE.},
  title = {{A} {M}ethod for {C}omputing the 2-{D} {S}tability {M}argin {B}ased
	on a {N}ew {S}tability {T}est for 2-{D} {S}ystems},
  journal = {Multidimensional Systems and Signal Processing},
  year = {1999},
  volume = {10},
  number = {1},
  pages = {93-99},
  issn = {0923-6082},
  doi = {10.1023/A:1008413103157},
  url = {http://dx.doi.org/10.1023/A%3A1008413103157},
  language = {English},
  file = {Mas99.pdf:Mas99.pdf:PDF},
  keywords = {stability tests; stability margin of stability margin},
  owner = {carsten},
  publisher = {Kluwer Academic Publishers},
  timestamp = {2013.06.30}
}

@INPROCEEDINGS{MukKar11,
  author = {Mukhija, P. and Kar, I.N. and Bhatt, R. K P},
  title = {{S}tability criteria for 2-{D} discrete-time state-delayed systems
	subject to overflow and quantization nonlinearities},
  booktitle = {Control Automation (MED), 2011 19th Mediterranean Conference on},
  year = {2011},
  pages = {394-399},
  doi = {10.1109/MED.2011.5983190},
  abstract = {This paper addresses the problem of stability analysis of the 2-D
	discrete time system described by Fornasini Marchesini second local
	state space model (FMLSS) with interval time-varying delay and subject
	to various combinations of quantization and overflow nonlinearities.
	Delay-dependent stability condition has been derived in terms of
	linear matrix inequalities (LMIs) by defining a Lyapunov functional.
	The derived condition depends on both the lower bound of delay and
	the delay range. The effectiveness of the proposed results is illustrated
	with the help of an example.},
  keywords = {Lyapunov methods;control nonlinearities;delays;discrete time systems;linear
	matrix inequalities;stability criteria;state-space methods;time-varying
	systems;2D discrete time state delayed system;FMLSS;Fornasini-Marchesini
	second local state space model;Lyapunov functional;delay dependent
	stability condition;interval time varying delay;linear matrix inequalities;overflow
	nonlinearities;quantization nonlinearities;stability analysis problem;stability
	criteria;Asymptotic stability;Delay;Quantization;Stability criteria;Symmetric
	matrices;Time varying systems},
  owner = {carsten},
  timestamp = {2013.06.30}
}

@ARTICLE{Oob13,
  author = {Ooba, T.},
  title = {{A}symptotic {S}tability of {T}wo-{D}imensional {D}iscrete {S}ystems
	{W}ith {S}aturation {N}onlinearities},
  journal = {IEEE Transactions on Circuits and Systems I: Regular Papers},
  year = {2013},
  volume = {60},
  number = {1},
  pages = {178-188},
  issn = {1549-8328},
  doi = {10.1109/TCSI.2012.2215739},
  abstract = {This paper investigates the asymptotic stability of discrete dynamical
	systems in a class of two-dimensional (2-D) systems whose dynamical
	parts are described in the Fornasini-Marchesini model along with
	a standard saturation operator on the state space. Under the assumption
	that the stability of the nominal system is ensured by the solvability
	of a linear matrix inequality, two techniques are introduced for
	checking the tolerance of the system against saturation effects.
	One is a quadratic method that accounts for the stability margin
	of a system. Another is a non-quadratic method that uses the asymptotic
	property of a majorant nonnegative system. These techniques are useful
	to improve upon previously known results. Two theorems are introduced
	in this paper in different manners. The first theorem provides a
	plain interpretation on the stability condition; however, it requires
	a two-step process to search for a solution. The second theorem is
	expressed as a linear matrix inequality, which is the dual statement
	of the first theorem. These results can be naturally modified for
	1-D systems, 2-D systems in the Roesser's model, and multidimensional
	systems. Illustrative examples show that the two techniques adopted
	in this paper have different effectiveness in enlarging the scope
	of application.},
  file = {Oob13.pdf:Oob13.pdf:PDF},
  keywords = {asymptotic stability;control nonlinearities;discrete systems;linear
	matrix inequalities;multidimensional systems;state-space methods;1D
	systems;2D systems;Fornasini-Marchesini model;LMI;Roesser model;asymptotic
	stability;linear matrix inequality;multidimensional systems;nominal
	system;nonquadratic method;quadratic method;saturation nonlinearities;standard
	saturation operator;state space;two-dimensional discrete systems;two-step
	process;Asymptotic stability;Circuit stability;Linear matrix inequalities;Stability
	criteria;Symmetric matrices;Vectors;Asymptotic stability;Lyapunov
	methods;multi-dimensional systems;saturation nonlinearities},
  owner = {carsten},
  timestamp = {2013.06.30}
}

@ARTICLE{RapRoc12,
  author = {P. Rapisarda and P. Rocha},
  title = {{L}yapunov functions for time-relevant systems, with application
	to first-orthant stable systems},
  journal = {Automatica},
  year = {2012},
  volume = {48},
  number = {9},
  pages = {1998 - 2006},
  issn = {0005-1098},
  doi = {http://dx.doi.org/10.1016/j.automatica.2012.06.019},
  url = {http://www.sciencedirect.com/science/article/pii/S0005109812002713},
  file = {RapRoc12.pdf:RapRoc12.pdf:PDF},
  keywords = {2-D systems},
  owner = {carsten},
  timestamp = {2013.06.30}
}

@ARTICLE{Sha80,
  author = {Shaw, G.},
  title = {{C}omments on "{S}tability criterion for {N}-dimensional digital
	filters},
  journal = tac,
  year = {1980},
  volume = {25},
  number = {5},
  pages = {1014-1015},
  issn = {0018-9286},
  doi = {10.1109/TAC.1980.1102453},
  file = {Sha80.pdf:Sha80.pdf:PDF},
  keywords = {Multidimensional digital filters;Recursive digital filter stability;Computer
	aided software engineering;Digital filters;Stability criteria;Sufficient
	conditions;Transfer functions},
  owner = {carsten},
  timestamp = {2013.06.30}
}

@ARTICLE{Sin08,
  author = {Singh, V.},
  title = {{S}tability {A}nalysis of 2-{D} {D}iscrete {S}ystems {D}escribed
	by the {F}ornasini-{M}archesini {S}econd {M}odel {W}ith {S}tate {S}aturation},
  journal = {Circuits and Systems II: Express Briefs, IEEE Transactions on},
  year = {2008},
  volume = {55},
  number = {8},
  pages = {793-796},
  issn = {1549-7747},
  doi = {10.1109/TCSII.2008.922412},
  abstract = {A criterion for the global asymptotic stability of 2D discrete systems
	described by the Fornasini-Marchesini second local state-space model
	employing state saturation arithmetic is presented. An example shows
	the effectiveness of the present criterion.},
  file = {Sin08.pdf:Sin08.pdf:PDF},
  keywords = {Lyapunov methods;asymptotic stability;digital filters;discrete systems;state-space
	methods;2D Discrete Systems;Fornasini-Marchesini second model;global
	asymptotic stability;local state-space model;stability analysis;state
	saturation;Asymptotic stability;Lyapunov methods;digital filter word
	length effects;multidimensional systems;state saturation nonlinearity},
  owner = {carsten},
  timestamp = {2013.06.30}
}

@INPROCEEDINGS{TiwDha12,
  author = {Tiwari, M. and Dhawan, A.},
  title = {{A} survey on stability of 2-{D} discrete systems described by {F}ornasini-{M}archesini
	first model},
  booktitle = {Circuits and Systems},
  year = {2012},
  volume = {3},
  pages = {17-22},
  doi = {10.1109/ICPCES.2010.5698674},
  abstract = {Stability analysis of two-dimensional (2-D) discrete systems is a
	problem of considerable importance in both theory and practical applications.
	The 2-D linear state-space models were first introduced in 1970's
	by several researchers. Among these models, the most general model
	for 2-D discrete systems was proposed by Fornasini and Marchesini
	in 1976, commonly known as Fornasini-Marchesini (FM) first model.
	A survey of the existing literature on the stability of 2-D discrete
	systems described by the FM first model is presented.},
  file = {TiwDha12.pdf:TiwDha12.pdf:PDF},
  keywords = {discrete systems;stability;state-space methods;2D discrete systems
	stability;2D linear state space models;Fornasini Marchesini first
	model;Asymptotic stability;Circuit stability;Frequency modulation;Mathematical
	model;Numerical stability;Stability criteria;2-D discrete systems;FM
	first model;Lyapunov methods;asymptotic stability},
  owner = {carsten},
  timestamp = {2013.06.30}
}

@ARTICLE{WanLiu03,
  author = {Zidong Wang and Xiaohui Liu},
  title = {{R}obust stability of two-dimensional uncertain discrete systems},
  journal = {Signal Processing Letters, IEEE},
  year = {2003},
  volume = {10},
  number = {5},
  pages = {133-136},
  issn = {1070-9908},
  doi = {10.1109/LSP.2003.810754},
  abstract = {We deal with the robust stability problem for linear two-dimensional
	(2-D) discrete time-invariant systems described by a 2-D local state-space
	(LSS) Fornasini-Marchesini (1989) second model. The class of systems
	under investigation involves parameter uncertainties that are assumed
	to be norm-bounded. We first focus on deriving the sufficient conditions
	under which the uncertain 2-D systems keep robustly asymptotically
	stable for all admissible parameter uncertainties. It is shown that
	the problem addressed can be recast to a convex optimization one
	characterized by linear matrix inequalities (LMIs), and therefore
	a numerically attractive LMI approach can be exploited to test the
	robust stability of the uncertain discrete-time 2-D systems. We further
	apply the obtained results to study the robust stability of perturbed
	2-D digital filters with overflow nonlinearities.},
  keywords = {discrete time systems;filtering theory;matrix algebra;multidimensional
	systems;optimisation;stability;state-space methods;two-dimensional
	digital filters;uncertain systems;2D local state-space model;2D uncertain
	discrete systems;Fornasini-Marchesini second model;asymptotically
	stable systems;convex optimization;linear 2D discrete time-invariant
	systems;linear matrix inequalities;overflow nonlinearities;parameter
	uncertainties;perturbed 2D digital filters;robust stability;sufficient
	conditions;two-dimensional uncertain discrete systems;uncertain discrete-time
	2D systems;Digital filters;Linear matrix inequalities;Polynomials;Robust
	stability;Robustness;Stability analysis;Sufficient conditions;System
	testing;Two dimensional displays;Uncertain systems},
  owner = {carsten},
  timestamp = {2013.06.30}
}

@INPROCEEDINGS{YeWan08,
  author = {Shuxia Ye and Weiqun Wang and Yun Zou and Juan Yao},
  title = {{R}obust {G}uaranteed {C}ost {C}ontrol for a {C}lass of {T}wo-dimensional
	{D}iscrete {S}ystems with {S}hift-{D}elays},
  booktitle = {Robotics, Automation and Mechatronics, 2008 IEEE Conference on},
  year = {2008},
  pages = {227-232},
  doi = {10.1109/RAMECH.2008.4681328},
  abstract = {This paper considers the problem of robust guaranteed cost control
	for uncertain two-dimensional (2-D) discrete shift-delayed systems
	in Fornasini-Marchesini model the second class (FMMII). The parameter
	uncertainty is assumed to be norm-bounded. The problem to be addressed
	is the design of state feedback controllers such that the closed-loop
	system is quadratic stable and an adequate level of performance can
	be guaranteed for all admissible uncertainties. In terms of a linear
	matrix inequality (LMI), a sufficient condition for the solvability
	of the problem is obtained. A desired state feedback controller can
	be constructed by solving a certain LMI. A numerical example is provided
	to demonstrate the application of the proposed method.},
  keywords = {closed loop systems;computability;delays;discrete systems;linear matrix
	inequalities;robust control;state feedback;uncertain systems;2D discrete
	systems;Fornasini-Marchesini model;closed loop system;linear matrix
	inequality;norm bounded;parameter uncertainty;quadratic stability;robust
	guaranteed cost control;shift delays;solvability;state feedback controller;sufficient
	condition;uncertain 2D discrete shift-delayed systems;Automatic control;Automation;Control
	systems;Cost function;Delay effects;Robust control;State feedback;Two
	dimensional displays;Uncertain systems;Water heating;2-D discrete
	systems;guaranteed cost control;quadratic stable;shift-delays},
  owner = {carsten},
  timestamp = {2013.06.30}
}

@Article{AntGoo13,
  author    = {Panos J. Antsaklis and Bill Goodwine and Vijay Gupta and Michael J. McCourt and Yue Wang and Po Wu and Meng Xia and Han Yu and Feng Zhu},
  journal   = {European Journal of Control},
  title     = {{C}ontrol of cyberphysical systems using passivity and dissipativity based methods},
  year      = {2013},
  issn      = {0947-3580},
  number    = {0},
  pages     = {-},
  doi       = {http://dx.doi.org/10.1016/j.ejcon.2013.05.018},
  file      = {AntGoo13.pdf:AntGoo13.pdf:PDF},
  owner     = {carsten},
  timestamp = {2013.07.01},
  url       = {http://www.sciencedirect.com/science/article/pii/S0947358013000873},
}

@ARTICLE{BamVou05,
  author = {Bassam Bamieh and Petros G. Voulgaris},
  title = {{A} convex characterization of distributed control problems in spatially
	invariant systems with communication constraints},
  journal = scl,
  year = {2005},
  volume = {54},
  number = {6},
  pages = {575 - 583},
  issn = {0167-6911},
  doi = {http://dx.doi.org/10.1016/j.sysconle.2004.10.007},
  url = {http://www.sciencedirect.com/science/article/pii/S0167691104001835},
  file = {BamVou05.pdf:BamVou05.pdf:PDF},
  owner = {carsten},
  timestamp = {2013.07.01}
}

@Article{FalHan12,
  author    = {Rikard Falkeborn and Anders Hansson},
  journal   = {European Journal of Control},
  title     = {{A} {D}ecomposition {A}lgorithm for {KYP}-{SDP}s},
  year      = {2012},
  issn      = {0947-3580},
  number    = {3},
  pages     = {249 - 256},
  volume    = {18},
  doi       = {http://dx.doi.org/10.1016/S0947-3580(12)70946-9},
  file      = {FalHan12.pdf:FalHan12.pdf:PDF},
  keywords  = {<!-- Tag Not Handled --><keyword id=} # kw0005 #{>Kalman?��?��Yakobovic?��?��Popov lemma},
  owner     = {carsten},
  timestamp = {2013.07.01},
  url       = {http://www.sciencedirect.com/science/article/pii/S0947358012709469},
}

@Article{Fie85,
  author    = {Miroslav Fiedler},
  journal   = {Linear Algebra and its Applications},
  title     = {{P}olynomials and {H}ankel matrices},
  year      = {1985},
  issn      = {0024-3795},
  number    = {0},
  pages     = {235 - 248},
  volume    = {66},
  doi       = {http://dx.doi.org/10.1016/0024-3795(85)90135-1},
  file      = {Fie85.pdf:Fie85.pdf:PDF},
  owner     = {carsten},
  timestamp = {2013.07.01},
  url       = {http://www.sciencedirect.com/science/article/pii/0024379585901351},
}

@ARTICLE{MotJad08a,
  author = {Motee, N. and Jadbabaie, A.},
  title = {{O}ptimal {C}ontrol of {S}patially {D}istributed {S}ystems},
  journal = {Automatic Control, IEEE Transactions on},
  year = {2008},
  volume = {53},
  number = {7},
  pages = {1616-1629},
  issn = {0018-9286},
  doi = {10.1109/TAC.2008.929366},
  file = {MotJad08a.pdf:MotJad08a.pdf:PDF},
  keywords = {Lyapunov methods;Riccati equations;graph theory;linear systems;multidimensional
	systems;optimal control;state-space methods;Riccati equations;arbitrary
	graphs;distant-dependent coupling functions;heterogeneous linear
	control systems;infinite collection;infinite-horizon linear quadratic
	criteria;operator Lyapunov equation;optimal control;spatial structure
	analysis;spatially decaying;spatially distributed systems;Control
	system synthesis;Control systems;Fourier transforms;Kernel;Linear
	systems;Optimal control;Polynomials;Riccati equations;State feedback;Subspace
	constraints;Distributed control;infinite-dimensional systems;networked
	control;optimal control;spatially decaying systems},
  owner = {carsten},
  timestamp = {2013.07.01}
}

@INPROCEEDINGS{DenLoo99,
  author = {Denis, N. and Looze, Douglas P.},
  title = {${\cal H}_\infty$ controller design for systems with circulant systems},
  booktitle = cdc99,
  year = {1999},
  volume = {3},
  pages = {3144-3149 vol.3},
  doi = {10.1109/CDC.1999.831420},
  file = {DenLoo99.pdf:DenLoo99.pdf:PDF},
  issn = {0191-2216},
  keywords = {H? control;control system synthesis;large-scale systems;matrix algebra;H?
	controller design;circulant symmetry;computational simplifications;structural
	properties;Artificial intelligence;Control systems;State-space methods;Transfer
	functions},
  owner = {carsten},
  timestamp = {2013.07.03}
}

@ARTICLE{HovSko94,
  author = {M. Hovd and S. Skogestad},
  title = {{C}ontrol of symmetrically interconnected plants},
  journal = {Automatica},
  year = {1994},
  volume = {30},
  number = {6},
  pages = {957 - 973},
  issn = {0005-1098},
  doi = {http://dx.doi.org/10.1016/0005-1098(94)90190-2},
  url = {http://www.sciencedirect.com/science/article/pii/0005109894901902},
  file = {HovSko94.pdf:HovSko94.pdf:PDF},
  keywords = {Control system design},
  owner = {carsten},
  timestamp = {2013.07.03}
}

@ARTICLE{MelKuo71,
  author = {S.M. Melzer and B.C. Kuo},
  title = {{O}ptimal regulation of systems described by a countably infinite
	number of objects},
  journal = {Automatica},
  year = {1971},
  volume = {7},
  number = {3},
  pages = {359 - 366},
  issn = {0005-1098},
  doi = {http://dx.doi.org/10.1016/0005-1098(71)90128-2},
  url = {http://www.sciencedirect.com/science/article/pii/0005109871901282},
  file = {MelKuo71.pdf:MelKuo71.pdf:PDF},
  owner = {carsten},
  timestamp = {2013.07.03}
}

@ARTICLE{FaxMur04,
  author = {Fax, J.A. and Murray, R.M.},
  title = {{I}nformation flow and cooperative control of vehicle formations},
  journal = tac,
  year = {2004},
  volume = {49},
  number = {9},
  pages = {1465-1476},
  issn = {0018-9286},
  doi = {10.1109/TAC.2004.834433},
  file = {FaxMur04.pdf:FaxMur04.pdf:PDF},
  keywords = {control system synthesis;cooperative systems;graph theory;position
	control;stability;time-varying systems;traffic control;vehicles;Nyquist
	criterion;communication network;communication topology;cooperative
	control;decentralized information exchange;dynamical systems;formation
	stability;graph Laplacian matrix;graph theory;information flow;intervehicle
	communication;multivehicle control;Communication networks;Communication
	system control;Eigenvalues and eigenfunctions;Graph theory;Laplace
	equations;Matrix decomposition;Network topology;Robust control;Stability
	criteria;Vehicles;Cooperative control;Laplacian;graph theory;multivehicle
	control;stability},
  owner = {carsten},
  timestamp = {2013.07.04}
}

@ARTICLE{PopWer12,
  author = {Popov, A. and Werner, H.},
  title = {{R}obust {S}tability of a {M}ulti-{A}gent {S}ystem {U}nder {A}rbitrary
	and {T}ime-{V}arying {C}ommunication {T}opologies and {C}ommunication
	{D}elays},
  journal = tac,
  year = {2012},
  volume = {57},
  number = {9},
  pages = {2343-2347},
  issn = {0018-9286},
  doi = {10.1109/TAC.2012.2186094},
  file = {PopWer12.pdf:PopWer12.pdf:PDF},
  keywords = {control system synthesis;delay systems;multi-agent systems;robust
	control;time-varying systems;topology;arbitrary time-invariant communication
	topology;arbitrary time-varying communication topology;communication
	delay;controller design problem;formation control;identical agents;multiagent
	system;robust stability;stability analysis;Delay;Eigenvalues and
	eigenfunctions;Multiagent systems;Stability criteria;Time varying
	systems;Topology;Communication delay;formation control;multi-agent
	system;robust control;time-varying topology},
  owner = {carsten},
  timestamp = {2013.07.04}
}

@ARTICLE{SanVar78,
  author = {Sandell, N.R. and Varaiya, P. and Athans, M. and Safonov, M.G.},
  title = {{S}urvey of decentralized control methods for large scale systems},
  journal = tac,
  year = {1978},
  volume = {23},
  number = {2},
  pages = {108-128},
  issn = {0018-9286},
  doi = {10.1109/TAC.1978.1101704},
  file = {SanVar78.pdf:SanVar78.pdf:PDF},
  keywords = {Bibliographies;Decentralized control;Hierarchical systems;Large-scale
	systems;Control systems;Costs;Distributed control;Laboratories;Large-scale
	systems;Military computing;Modems;Optimal control;Power generation
	economics;Power system economics},
  owner = {carsten},
  timestamp = {2013.07.04}
}

@ARTICLE{SteGor03,
  author = {Stewart, G.E. and Gorinevsky, D.M. and Dumont, G.A.},
  title = {{F}eedback controller design for a spatially distributed system:
	the paper machine problem},
  journal = {IEEE Transactions on Control Systems Technology},
  year = {2003},
  volume = {11},
  number = {5},
  pages = {612-628},
  issn = {1063-6536},
  doi = {10.1109/TCST.2003.816420},
  file = {SteGor03.pdf:SteGor03.pdf:PDF},
  keywords = {closed loop systems;control system synthesis;distributed control;feedback;frequency-domain
	analysis;paper industry;process control;software tools;stability;2D
	frequency domain;2D loop shaping design;CD control;controller retuning;cross-directional
	control;feedback controller design;paper machine problem;software
	tool;spatial structure;spatially distributed system;stabilization;temporal
	structure;unstable closed-loop system;Adaptive control;Algorithm
	design and analysis;Distributed control;Distributed feedback devices;Electrical
	equipment industry;Frequency domain analysis;Industrial control;Paper
	making machines;Software algorithms;Software tools},
  owner = {carsten},
  timestamp = {2013.07.04}
}

@INPROCEEDINGS{WanEli09,
  author = {Jing Wang and Elia, N.},
  title = {{A}gents design for distributed consensus over networks of fixed
	and switching topologies},
  booktitle = cdc09,
  year = {2009},
  pages = {5815-5820},
  doi = {10.1109/CDC.2009.5400327},
  issn = {0191-2216},
  keywords = {distributed processing;graph theory;multi-agent systems;agent dynamics;convergence
	property;distributed consensus;fixed network topology;multiagent
	system;small gain theorem;switching graph;switching topologies;Convergence;Distributed
	control;Eigenvalues and eigenfunctions;Laplace equations;Large-scale
	systems;Mobile agents;Multiagent systems;Network topology;Robust
	control;Robust stability;Consensus;cooperative control;reusable agents;robust
	control},
  owner = {carsten},
  timestamp = {2013.07.04}
}

@Article{CasPag02a,
  author    = {Gustavo Ayres de Castro and Fernando Paganini},
  journal   = {Automatica},
  title     = {{C}onvex synthesis of localized controllers for spatially invariant systems},
  year      = {2002},
  issn      = {0005-1098},
  number    = {3},
  pages     = {445 - 456},
  volume    = {38},
  doi       = {http://dx.doi.org/10.1016/S0005-1098(01)00245-X},
  file      = {CasPag02a.pdf:CasPag02a.pdf:PDF},
  keywords  = {Distributed parameter systems},
  owner     = {carsten},
  timestamp = {2013.07.10},
  url       = {http://www.sciencedirect.com/science/article/pii/S000510980100245X},
}

@PHDTHESIS{Wie10,
  author = {Peter Wieland},
  title = {{F}rom static to dynamic couplings in consensus and synchronization
	among identical and non-identical systems},
  year = {2010},
  file = {Wie10.pdf:Wie10.pdf:PDF},
  owner = {carsten},
  school = {University of Stuttgart},
  timestamp = {2013.07.10}
}

@ARTICLE{LanGup09,
  author = {Langbort, C. and Gupta, V.},
  title = {{M}inimal {I}nterconnection {T}opology in {D}istributed {C}ontrol
	{D}esign},
  journal = {SIAM Journal on Control and Optimization},
  year = {2009},
  volume = {48},
  number = {1},
  pages = {397-413},
  doi = {10.1137/06067897X},
  eprint = {http://epubs.siam.org/doi/pdf/10.1137/06067897X},
  url = {http://epubs.siam.org/doi/abs/10.1137/06067897X},
  file = {LanGup09.pdf:LanGup09.pdf:PDF},
  owner = {carsten},
  timestamp = {2013.07.11}
}

@INPROCEEDINGS{CheLal03,
  author = {Been-Der Chen and Lall, S.},
  title = {{D}issipation inequalities for distributed systems on graphs},
  booktitle = cdc03,
  year = {2003},
  volume = {3},
  pages = {3084-3090 Vol.3},
  doi = {10.1109/CDC.2003.1273097},
  file = {CheLal03.pdf:CheLal03.pdf:PDF},
  issn = {0191-2216},
  keywords = {directed graphs;distributed control;interconnected systems;linear
	matrix inequalities;linear systems;state feedback;directed graph;dissipation
	inequalities;distributed control;distributed systems;linear dynamic
	systems;linear matrix inequalities;rectangular array;semidefinite
	program;state feedback synthesis;Aerodynamics;Control system synthesis;Control
	systems;Distributed control;Extraterrestrial measurements;Linear
	matrix inequalities;Measurement standards;Multidimensional systems;State
	feedback;System testing},
  owner = {carsten},
  timestamp = {2013.07.12}
}

@INPROCEEDINGS{CogLal04,
  author = {Cogill, R. and Lall, S.},
  title = {{C}ontrol design for topology-independent stability of interconnected
	systems},
  booktitle = acc04,
  year = {2004},
  volume = {4},
  pages = {3717-3722 vol.4},
  file = {CogLal04.pdf:CogLal04.pdf:PDF},
  issn = {0743-1619},
  keywords = {control system synthesis;decentralised control;graph theory;interconnected
	systems;optimisation;stability;control system design;decentralized
	controller synthesis;graph topology;interconnected systems;multiple
	identical systems;optimization problem;partially decentralized controllers;power
	distribution network;semidefinite programming;topology independent
	stability},
  owner = {carsten},
  timestamp = {2013.07.12}
}

@INPROCEEDINGS{CogLal04a,
  author = {Cogill, R. and Lall, S.},
  title = {{T}opology independent controller design for networked systems},
  booktitle = cdc04,
  year = {2004},
  volume = {2},
  pages = {1788-1793 Vol.2},
  doi = {10.1109/CDC.2004.1430305},
  file = {CogLal04a.pdf:CogLal04a.pdf:PDF},
  issn = {0191-2216},
  keywords = {control system synthesis;decentralised control;graph theory;interconnected
	systems;optimisation;decentralized controllers;graph topology;interconnected
	systems;networked systems;optimization problem;semidefinite programming;topology
	independent controller design;Control system synthesis;Control systems;Interconnected
	systems;Large-scale systems;Network synthesis;Network topology;Optimization
	methods;Performance analysis;Stability analysis;Upper bound},
  owner = {carsten},
  timestamp = {2013.07.12}
}

@INPROCEEDINGS{DADul98a,
  author = {D'Andrea, R. and Dullerund, G.E. and Lall, S.},
  title = {{C}onvex $l_2$ synthesis for multidimensional systems},
  booktitle = cdc98,
  year = {1998},
  volume = {2},
  pages = {1883-1888 vol.2},
  doi = {10.1109/CDC.1998.758583},
  file = {DADul98a.pdf:DADul98a.pdf:PDF},
  issn = {0191-2216},
  keywords = {closed loop systems;control system analysis;control system synthesis;distributed
	parameter systems;matrix algebra;multidimensional systems;optimal
	control;state-space methods;?2 induced gain performance criterion;Roesser
	state space format;causality requirement;convex ?2 synthesis;linear
	matrix inequality;multidimensional systems;region of analyticity;spatially
	distributed controllers;spatially distributed systems;stability requirement;Actuators;Control
	system synthesis;Control systems;Linear matrix inequalities;Mechanical
	sensors;Multidimensional systems;Optimal control;Sensor systems;Signal
	synthesis;Unmanned aerial vehicles},
  owner = {carsten},
  timestamp = {2013.07.12}
}

@ARTICLE{AgaChe05,
  author = {Rafig Agaev and Pavel Chebotarev},
  title = {{O}n the spectra of nonsymmetric {L}aplacian matrices},
  journal = {Linear Algebra and its Applications},
  year = {2005},
  volume = {399},
  number = {0},
  pages = {157 - 168},
  note = {<ce:title>Special Issue devoted to papers presented at the International
	Meeting on Matrix Analysis and Applications, Ft. Lauderdale, FL,
	14-16 December 2003</ce:title>},
  issn = {0024-3795},
  doi = {http://dx.doi.org/10.1016/j.laa.2004.09.003},
  url = {http://www.sciencedirect.com/science/article/pii/S0024379504004094},
  file = {AgaChe05.pdf:AgaChe05.pdf:PDF},
  keywords = {Laplacian matrix},
  owner = {carsten},
  timestamp = {2013.07.15}
}

@ARTICLE{KimShi11,
  author = {Hongkeun Kim and Hyungbo Shim and Jin Heon Seo},
  title = {{O}utput {C}onsensus of {H}eterogeneous {U}ncertain {L}inear {M}ulti-{A}gent
	{S}ystems},
  journal = tac,
  year = {2011},
  volume = {56},
  number = {1},
  pages = {200-206},
  issn = {0018-9286},
  doi = {10.1109/TAC.2010.2088710},
  file = {KimShi11.pdf:KimShi11.pdf:PDF},
  keywords = {feedback;linear systems;multi-agent systems;regulation;telecommunication
	networks;uncertain systems;communication network;heterogeneous uncertain
	linear multiagent system;output consensus;output feedback;output
	regulation theory;parametric uncertainty;Eigenvalues and eigenfunctions;Laplace
	equations;Network topology;Observers;Regulators;Synchronization;Uncertainty;Heterogeneous
	multi-agent systems;internal models;output consensus;output feedback},
  owner = {carsten},
  timestamp = {2013.07.15}
}

@Article{SeoShi09,
  author    = {Jin Heon Seo and Hyungbo Shim and Juhoon Back},
  journal   = {Automatica},
  title     = {{C}onsensus of high-order linear systems using dynamic output feedback compensator: {L}ow gain approach},
  year      = {2009},
  issn      = {0005-1098},
  number    = {11},
  pages     = {2659 - 2664},
  volume    = {45},
  doi       = {http://dx.doi.org/10.1016/j.automatica.2009.07.022},
  file      = {SeoShi09.pdf:SeoShi09.pdf:PDF},
  keywords  = {Multi-agent systems},
  owner     = {carsten},
  timestamp = {2013.07.15},
  url       = {http://www.sciencedirect.com/science/article/pii/S0005109809003732},
}

@ARTICLE{AndMor85,
  author = {Anderson, William N. and Morley, Thomas D.},
  title = {{E}igenvalues of the {L}aplacian of a graph},
  journal = {Linear and Multilinear Algebra},
  year = {1985},
  volume = {18},
  number = {2},
  pages = {141-145},
  doi = {10.1080/03081088508817681},
  eprint = {http://www.tandfonline.com/doi/pdf/10.1080/03081088508817681},
  url = {http://www.tandfonline.com/doi/abs/10.1080/03081088508817681},
  file = {AndMor85.pdf:AndMor85.pdf:PDF},
  owner = {carsten},
  timestamp = {2013.07.16}
}

@ARTICLE{Hal98,
  author = {Jack Hale},
  title = {{S}ynchronization by diffusive coupling},
  year = {1998},
  file = {Hal98.pdf:Hal98.pdf:PDF},
  owner = {carsten},
  timestamp = {2013.07.16}
}

@ARTICLE{LesVin06,
  author = {Ioannis Lestas and Glenn Vinnicombe},
  title = {{S}calable {D}ecentralized {R}obust {S}tability {C}ertificates for
	{N}etworks of {I}nterconnected {H}eterogeneous {D}ynamical {S}ystems},
  journal = tac,
  year = {2006},
  volume = {10},
  pages = {1613-1625},
  file = {LesVin06.pdf:LesVin06.pdf:PDF},
  owner = {carsten},
  timestamp = {2013.07.16}
}

@ARTICLE{MaZha10,
  author = {Cui-Qin Ma and Ji-Feng Zhang},
  title = {{N}ecessary and {S}ufficient {C}onditions for {C}onsensusability
	of {L}inear {M}ulti-{A}gent {S}ystems},
  journal = tac,
  year = {2010},
  volume = {55},
  number = {5},
  pages = {1263-1268},
  issn = {0018-9286},
  doi = {10.1109/TAC.2010.2042764},
  file = {MaZha10.pdf:MaZha10.pdf:PDF},
  keywords = {linear systems;multi-agent systems;protocols;topology;MAS;agent dynamic
	structure;communication topology;consensus protocol;consensusability;linear
	multi-agent systems;linear time-invariant systems;Communication system
	control;Control systems;Laboratories;Laplace equations;Mathematics;Multiagent
	systems;Network topology;Output feedback;Postal services;Protocols;Road
	vehicles;Sufficient conditions;Topology;Vehicle dynamics;Weight control;Consensusability;consensus
	protocol;consensusability condition;linear time-invariant (LTI) system;multi-agent
	system (MAS)},
  owner = {carsten},
  timestamp = {2013.07.16}
}

@ARTICLE{MunPap10,
  author = {Ulrich M\"unz and Antonis Papachristodoulou and Frank Allg?����wer},
  title = {{D}elay robustness in consensus problems},
  journal = {Automatica},
  year = {2010},
  volume = {46},
  number = {8},
  pages = {1252 - 1265},
  issn = {0005-1098},
  doi = {http://dx.doi.org/10.1016/j.automatica.2010.04.008},
  url = {http://www.sciencedirect.com/science/article/pii/S0005109810001652},
  file = {MunPap10.pdf:MunPap10.pdf:PDF},
  keywords = {Multi-agent systems},
  owner = {carsten},
  timestamp = {2013.07.16}
}

@INPROCEEDINGS{PagDoy01,
  author = {Paganini, F. and Doyle, John and Low, S.},
  title = {{S}calable laws for stable network congestion control},
  booktitle = {Decision and Control, 2001. Proceedings of the 40th IEEE Conference
	on},
  year = {2001},
  volume = {1},
  pages = {185-190 vol.1},
  doi = {10.1109/.2001.980095},
  file = {PagDoy01.pdf:PagDoy01.pdf:PDF},
  keywords = {decentralised control;feedback;multivariable control systems;robust
	control;telecommunication congestion control;telecommunication network
	routing;transport protocols;TCP protocols;arbitrary network topologies;decentralised
	control;feedback signals;flow control;multivariable control systems;robust
	control;scalable laws;stable network congestion control;Analytical
	models;Communication networks;Communication system control;Control
	systems;Delay;Feedback;IP networks;Network topology;Protocols;Stability},
  owner = {carsten},
  timestamp = {2013.07.16}
}

@ARTICLE{Wu05,
  author = {Wu, Chai Wah},
  title = {{A}lgebraic connectivity of directed graphs},
  journal = {Linear and Multilinear Algebra},
  year = {2005},
  volume = {53},
  number = {3},
  pages = {203-223},
  doi = {10.1080/03081080500054810},
  eprint = {http://www.tandfonline.com/doi/pdf/10.1080/03081080500054810},
  url = {http://www.tandfonline.com/doi/abs/10.1080/03081080500054810},
  file = {Wu05.pdf:Wu05.pdf:PDF},
  owner = {carsten},
  timestamp = {2013.07.16}
}

@ARTICLE{ApkTua01,
  author = {Apkarian, P. and Hoang Duong Tuan and Bernussou, J.},
  title = {{C}ontinuous-time analysis, eigenstructure assignment, and {H}2 synthesis
	with enhanced linear matrix inequalities ({LMI}) characterizations},
  journal = tac,
  year = {2001},
  volume = {46},
  number = {12},
  pages = {1941-1946},
  issn = {0018-9286},
  doi = {10.1109/9.975496},
  file = {ApkTua01.pdf:ApkTua01.pdf:PDF},
  keywords = {H? control;Lyapunov methods;control system analysis;control system
	synthesis;eigenstructure assignment;feedback;linearisation techniques;matrix
	algebra;robust control;Lyapunov variables transformation;continuous-time
	analysis;continuous-time systems;control system analysis;control
	system synthesis;eigenstructure assignment;enhanced LMI characterizations;enhanced
	linear matrix inequality characterizations;linearizing transformations;multichannel
	H2 state-feedback synthesis;output-feedback synthesis;projection
	lemma reciprocal variant;robustness;Automatic control;Control system
	synthesis;Control systems;Linear matrix inequalities;Lyapunov method;Riccati
	equations;Robust control;Robustness;Software tools;Uncertainty},
  owner = {carsten},
  timestamp = {2013.07.26}
}

@ARTICLE{Glo84,
  author = {Glover, Keith},
  title = {{A}ll optimal {H}ankel-norm approximations of linear multivariable
	systems and their {L}, ?��??�� -error bounds?��??},
  journal = {International Journal of Control},
  year = {1984},
  volume = {39},
  number = {6},
  pages = {1115-1193},
  doi = {10.1080/00207178408933239},
  eprint = {http://www.tandfonline.com/doi/pdf/10.1080/00207178408933239},
  url = {http://www.tandfonline.com/doi/abs/10.1080/00207178408933239},
  file = {Glo84.pdf:Glo84.pdf:PDF},
  owner = {carsten},
  timestamp = {2013.07.30}
}

@ARTICLE{JonRus87,
  author = {Jones, WilliamB. and Ruscheweyh, Stephan},
  title = {{B}laschke product interpolation and its application to the design
	of digital filters},
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  year = {1987},
  volume = {3},
  number = {1},
  pages = {405-409},
  issn = {0176-4276},
  doi = {10.1007/BF01890578},
  url = {http://dx.doi.org/10.1007/BF01890578},
  language = {English},
  file = {JonRus87.pdf:JonRus87.pdf:PDF},
  keywords = {Interpolation; Blaschke product; Digital filter; Frequency transformation;
	41A05; 41A20; 93E11},
  owner = {carsten},
  publisher = {Springer-Verlag},
  timestamp = {2013.07.30}
}

@INPROCEEDINGS{DA95,
  author = {D'Andrea, R.},
  title = {${\cal H}_\infty$ optimization with spatial constraints},
  booktitle = cdc95,
  year = {1995},
  volume = {4},
  pages = {4327-4332 vol.4},
  doi = {10.1109/CDC.1995.478921},
  file = {DA95.pdf:DA95.pdf:PDF},
  issn = {0191-2216},
  keywords = {H-infinity control;constraint theory;control system synthesis;H-infinity
	control synthesis;H-infinity optimization;disturbances;linear matrix
	inequality;nonEuclidian spatial norms;output error;spatial constraints;Constraint
	optimization;Control system synthesis;Control theory;Ear;H infinity
	control;Linear matrix inequalities;Process design;Robustness;Software
	packages;Uncertainty},
  owner = {carsten},
  timestamp = {2013.08.02}
}

@INPROCEEDINGS{DA96,
  author = {D'Andrea, R.},
  title = {{N}ecessary and sufficient conditions for gain scheduling subject
	to full-structured uncertainty},
  booktitle = cdc96,
  year = {1996},
  volume = {4},
  pages = {3760-3765 vol.4},
  doi = {10.1109/CDC.1996.577233},
  file = {DA96.pdf:DA96.pdf:PDF},
  issn = {0191-2216},
  keywords = {control system synthesis;matrix algebra;robust control;uncertain systems;affine
	matrix inequality;full-structured uncertainty;gain scheduling;necessary
	and sufficient conditions;parameter dependent systems;uncertain systems;Ambient
	intelligence;Control systems;Linear matrix inequalities;Process design;Robustness;Scheduling;Sufficient
	conditions;Symmetric matrices;Uncertain systems;Uncertainty},
  owner = {carsten},
  timestamp = {2013.08.02}
}

@Article{BamPea91,
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  year      = {1991},
  file      = {:C\:\\Users\\mst\\Documents\\03_papers\\BamPeaFraTan91.pdf:PDF},
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  owner     = {mst},
  publisher = {Elsevier},
  timestamp = {2013.08.05},
}

@Article{BamPea92,
  author    = {Bamieh, B. A. and Pearson Jr, J. B.},
  title     = {{A} general framework for linear periodic systems with applications to {H}$_\infty$ sampled-data control},
  journal   = tac,
  year      = {1992},
  file      = {BamPea92.pdf:..\\03_papers\\BamPea92.pdf:PDF},
  groups    = {used, SD, Fetzer},
  owner     = {mst},
  publisher = {IEEE},
  timestamp = {2013.08.05},
}

@InProceedings{FujMor99,
  author    = {Fujioka, H. and Morimura, K.},
  title     = {{C}omputational aspects of {IQC}-based stability analysis for sampled-data feedback systems},
  booktitle = cdc99,
  year      = {1999},
  doi       = {10.1109/CDC.1999.827854},
  file      = {FujMor99.pdf:..\\03_papers\\FujMor99.pdf:PDF;:C\:\\Users\\mst\\Documents\\03_papers\\FujMor99.pdf:PDF},
  groups    = {used, Fetzer},
  owner     = {mst},
  timestamp = {2013.08.05},
}

@InProceedings{FujYam96,
  author       = {Fujioka, H. and Yamashita, K.},
  title        = {{C}omputational aspects of constantly scaled sampled-data ${H}_\infty$ control synthesis},
  booktitle    = cdc96,
  year         = {1996},
  volume       = {1},
  pages        = {440--445},
  organization = {IEEE},
  file         = {:C\:\\Users\\mst\\Documents\\03_papers\\FujYam96.pdf:PDF},
  groups       = {used, Fetzer},
  owner        = {mst},
  timestamp    = {2013.08.05},
}

@InProceedings{HarFuj95,
  author       = {Hara, S. and Fujioka, H. and Khargonekar, P.P. and Yamamoto, Y.},
  title        = {{C}omputational aspects of gain-frequency response for sampled-data systems},
  booktitle    = cdc95,
  year         = {1995},
  volume       = {2},
  pages        = {1784--1789},
  organization = {IEEE},
  file         = {:C\:\\Users\\mst\\Documents\\03_papers\\HarFujKhaYam95.pdf:PDF},
  groups       = {used, Fetzer},
  owner        = {mst},
  timestamp    = {2013.08.05},
}

@Article{Toi92,
  author    = {Toivonen, H. T.},
  title     = {{S}ampled-data control of continuous-time systems with an {H}$_\infty$ optimality criterion},
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  year      = {1992},
  volume    = {28},
  number    = {1},
  pages     = {45--54},
  file      = {Toi92.pdf:Toi92.pdf:PDF},
  groups    = {used, Fetzer},
  owner     = {mst},
  publisher = {Elsevier},
  timestamp = {2013.08.05},
}

@Article{CheFra96,
  author    = {Chen, T. and Francis, B. A.},
  title     = {${H}_\infty$-optimal sampled-data control: {C}omputation and designs},
  journal   = {Automatica},
  year      = {1996},
  volume    = {32},
  number    = {2},
  pages     = {223--228},
  file      = {CheFra96.pdf:CheFra96.pdf:PDF},
  groups    = {used, SD, Fetzer},
  owner     = {mst},
  publisher = {Elsevier},
  timestamp = {2013.08.06},
}

@InProceedings{HosHag11,
  author       = {Hosoe, Y. and Hagiwara, T.},
  title        = {{R}obust stability analysis with cycling-based {LPTV} scaling and its relationship with lifting-based approach},
  booktitle    = {SICE Annual Conference (SICE), 2011 Proceedings of},
  year         = {2011},
  pages        = {1782--1790},
  organization = {IEEE},
  file         = {:C\:\\Users\\mst\\Documents\\03_papers\\HosHag11.pdf:PDF},
  groups       = {used, Fetzer},
  owner        = {mst},
  timestamp    = {2013.08.06},
}

@InProceedings{ZhaDul08,
  author    = {Chun Zhang and Dullerud, G.E.},
  title     = {{A}nalysis of sampled-data interconnected systems},
  booktitle = cdc08,
  year      = {2008},
  pages     = {2069-2074},
  doi       = {10.1109/CDC.2008.4739466},
  file      = {ZhaDul08.pdf:ZhaDul08.pdf:PDF;ZhaDul08.pdf:..\\03_papers\\ZhaDul08.pdf:PDF},
  groups    = {used, Fetzer},
  issn      = {0191-2216},
  keywords  = {interconnected systems;linear matrix inequalities;multidimensional systems;sampled data systems;stability;infinite dimensionality;linear matrix inequalities;linear operator inequalities;sampled-data interconnected system;space-invariant system;stability;time-invariant system;Control system synthesis;Control systems;Digital control;Distributed control;Interconnected systems;Linear matrix inequalities;Stability;State-space methods;Sufficient conditions;Symmetric matrices},
  owner     = {mst},
  timestamp = {2013.08.07},
}

@Book{Ama95,
  title     = {{G}ew\"ohnliche {D}ifferentialgleichungen},
  publisher = {de Gruyter},
  year      = {1995},
  author    = {Amann, H.},
  address   = {Berlin},
  edition   = {2., \"uberarb. Aufl.},
  groups    = {used, Fetzer},
  keywords  = {Differential equations Gew\"ohnliche Differentialgleichung},
  owner     = {mst},
  timestamp = {2013.08.08},
}

@Book{AmaEsc06,
  title     = {{A}nalysis {I}},
  publisher = {Birkh\"auser, Basel},
  year      = {2006},
  author    = {Amann, H. and Escher, J.},
  edition   = {Dritte Auflage},
  groups    = {used, Fetzer},
  owner     = {mst},
  timestamp = {2013.08.08},
}

@Book{Apo74,
  title     = {{M}athematical analysis},
  publisher = {Addison Wesley Publishing Company},
  year      = {1974},
  author    = {Apostol, T.M.},
  groups    = {used, Fetzer},
  owner     = {mst},
  timestamp = {2013.08.08},
}

@Article{CheFra91,
  author    = {Chen, T. and Francis, B. A.},
  title     = {{I}nput-output stability of sampled-data systems},
  journal   = tac,
  year      = {1991},
  volume    = {36},
  number    = {1},
  pages     = {50-58},
  issn      = {0018-9286},
  doi       = {10.1109/9.62267},
  file      = {CheFra91.pdf:CheFra91.pdf:PDF;CheFra91.pdf:..\\03_papers\\CheFra91.pdf:PDF},
  groups    = {used, SD, Fetzer},
  keywords  = {control system analysis;sampled data systems;stability;input-output stability;periodic sampling;sampled-data systems;zero-order hold;Control systems;Councils;Feedback;Filters;Frequency domain analysis;Optimal control;Sampling methods;Stability analysis;Sufficient conditions;Time varying systems},
  owner     = {mst},
  timestamp = {2013.08.08},
}

@Article{ChuGes03,
  author    = {Churilov, A.N. and Gessen, A.V.},
  title     = {{LMI} approach to stabilization of a linear plant by a pulse modulated signal},
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  year      = {2003},
  volume    = {3},
  number    = {4},
  pages     = {375--388},
  file      = {ChuGes03.pdf:ChuGes03.pdf:PDF},
  groups    = {used, Fetzer},
  owner     = {mst},
  publisher = {Citeseer},
  timestamp = {2013.08.08},
}

@Book{DunSch58,
  title     = {{L}inear operators, part 1},
  publisher = {Interscience Publishers New York, London},
  year      = {1958},
  author    = {Dunford, Nelson and Schwartz, Jacob T},
  file      = {:C\:\\Users\\mst\\Documents\\01_Buecher\\02_Analysis\\[Dunford,Schwartz]_Linear_Operators_I.djvu:Djvu},
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  owner     = {mst},
  timestamp = {2013.08.08},
}

@Book{FoiFra90,
  title     = {{T}he commutant lifting approach to interpolation problems},
  publisher = {Birkh{\"a}user Basel},
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  owner     = {mst},
  timestamp = {2013.08.08},
}

@Book{GelChu98,
  title     = {{S}tability and oscillations of nonlinear pulse-modulated systems},
  publisher = {Birkh\"auser},
  year      = {1998},
  author    = {Gelig, A. Kh. and Churilov, A. N.},
  address   = {Boston Basel [u.a.]},
  groups    = {used, Fetzer},
  keywords  = {Nonlinear control theory Oscillations Stability Nichtlineares System Kontinuierliches System Pulsmodulation Frequenzbereich Stabilit?��t Schwingung QA402.35.S73 1998},
  owner     = {mst},
  timestamp = {2013.08.08},
}

@Article{Hal69,
  author    = {Hale, J.K.},
  title     = {{O}rdinary differential equations},
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  groups    = {used, Fetzer},
  owner     = {mst},
  timestamp = {2013.08.08},
}

@Book{Sch92,
  title     = {{G}eneralized {O}rdinary {D}ifferential {E}quations},
  publisher = {World Scientific Publishing Company},
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  author    = {Schwabik, \v{S}tefan},
  volume    = {5},
  groups    = {used, Fetzer},
  owner     = {mst},
  timestamp = {2013.08.08},
}

@Book{Sz.Foi70,
  title     = {{H}armonic analysis of operators on {H}ilbert space},
  publisher = {North-Holland},
  year      = {1970},
  author    = {Sz.-Nagy, B. and Foia{\c{s}}, C.},
  file      = {:C\:\\Users\\mst\\Documents\\01_Buecher\\02_Analysis\\[Sz-Nagy,Foias]_Harmonic_Analysis_of_Operators_on_Hilbert_Space.pdf:PDF},
  groups    = {used, Fetzer},
  owner     = {mst},
  timestamp = {2013.08.08},
}

@Book{TarGar11,
  title     = {{S}tability and stabilization of linear systems with saturating actuators},
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  year      = {2011},
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  groups    = {used, Fetzer},
  owner     = {mst},
  timestamp = {2013.08.08},
}

@InProceedings{Yam90,
  author    = {Yamamoto, Y.},
  title     = {{N}ew approach to sampled-data control systems - a function space method},
  booktitle = cdc90,
  year      = {1990},
  pages     = {1882-1887 vol.3},
  doi       = {10.1109/CDC.1990.203946},
  file      = {Yam90.pdf:Yam90.pdf:PDF},
  groups    = {used, SD, Fetzer},
  keywords  = {discrete time systems;poles and zeros;sampled data systems;state-space methods;transfer functions;discrete-time systems;function space method;infinite-dimensional model;poles;sampled-data control systems;sampling period;state space;time-invariant concepts;transfer functions;zeros;Control systems;Digital control;Feedback control;Filtering theory;Linear feedback control systems;Poles and zeros;Sampling methods;Stability;State-space methods;Transfer functions},
  owner     = {mst},
  timestamp = {2013.08.12},
}

@Book{Ber05,
  title     = {{M}atrix mathematics: theory, facts, and formulas},
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}

@ARTICLE{IwaHar05,
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	(semi)finite ranges},
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  owner = {JV},
  timestamp = {2013.08.19}
}

@Article{Yak74,
  author    = {Yakubovich, V. A.},
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  year      = {1974},
  issn      = {0037-4466},
  number    = {3},
  pages     = {457-476},
  volume    = {15},
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  file      = {Yak74.pdf:Yak74.pdf:PDF},
  groups    = {used, Fetzer, SchVee18},
  language  = {English},
  owner     = {mst},
  publisher = {Kluwer Academic Publishers-Plenum Publishers},
  timestamp = {2013.08.26},
  url       = {http://dx.doi.org/10.1007/BF00969815},
}

@INCOLLECTION{AlaRot13,
  author = {A. Alavian and M.C. Rotkowitz},
  title = {${Q}$-parametrization and an {SDP} for $\mathcal{H}_\infty$-optimal
	decentralized control},
  booktitle = {Proc. 4th IFAC Workshop on Distributed Estimation and Control in
	Networked Systems},
  year = {2013},
  file = {Alavian2013.pdf:Alavian2013.pdf:PDF},
  owner = {mst04},
  timestamp = {2013.08.28}
}

@MANUAL{mat12b,
  title = {{MATLAB} and {R}obust {C}ontrol {T}oolbox {R}elease 2012b, {T}he
	{M}ath{W}orks, {I}nc., {N}atick, {M}assachusetts, {U}nited {S}tates},
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  timestamp = {2013.08.29}
}

@Article{HuiBer13,
  author    = {Qing Hui and Jordan M. Berg},
  journal   = scl,
  title     = {{S}emistability theory for spatially distributed systems},
  year      = {2013},
  issn      = {0167-6911},
  number    = {10},
  pages     = {862 - 870},
  volume    = {62},
  doi       = {http://dx.doi.org/10.1016/j.sysconle.2013.06.016},
  file      = {HuiBer13.pdf:HuiBer13.pdf:PDF},
  keywords  = {Semistability},
  owner     = {mst04},
  timestamp = {2013.09.02},
  url       = {http://www.sciencedirect.com/science/article/pii/S0167691113001473},
}

@INCOLLECTION{MorCol13,
  author = {Fabio Morbidi and Patrizio Colaneri and Thomas Stanger},
  title = {{D}ecentralized optimal control of a car platoon with guaranteed
	string stability},
  booktitle = ecc,
  year = {2013},
  file = {MorCol13.pdf:MorCol13.pdf:PDF},
  owner = {Carsten},
  timestamp = {2013.09.21}
}

@ARTICLE{NauVug10,
  author = {G.J.L. Naus and R.P.A. Vugts and J. Ploeg and M.J.G. van de Molengraft
	and M. Steinbuch},
  title = {{S}tring-stable {CACC} design and experimental validation, a frequency-domain
	approach},
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  year = {2010},
  volume = {59},
  number = {9},
  pages = {4268-4279},
  file = {NauVug10.pdf:NauVug10.pdf:PDF},
  owner = {Carsten},
  timestamp = {2013.09.21}
}

@INPROCEEDINGS{BarHes05,
  author = {Barooah, P. and Hespanha, J.P.},
  title = {{E}rror {A}mplification and {D}isturbance {P}ropagation in {V}ehicle
	{S}trings with {D}ecentralized {L}inear {C}ontrol},
  booktitle = cdc05,
  year = {2005},
  pages = {4964-4969},
  doi = {10.1109/CDC.2005.1582948},
  file = {BarHes05.pdf:BarHes05.pdf:PDF},
  keywords = {Automatic control;Bidirectional control;Computer architecture;Computer
	errors;Control design;Error correction;Size control;Stability;Vehicle
	driving;Vehicle dynamics},
  owner = {carsten},
  timestamp = {2013.09.24}
}

@INPROCEEDINGS{BarHes06,
  author = {Barooah, P. and Hespanha, J.P.},
  title = {{G}raph {E}ffective {R}esistance and {D}istributed {C}ontrol: {S}pectral
	{P}roperties and {A}pplications},
  booktitle = {Decision and Control, 2006 45th IEEE Conference on},
  year = {2006},
  pages = {3479-3485},
  doi = {10.1109/CDC.2006.377619},
  file = {BarHes06.pdf:BarHes06.pdf:PDF},
  keywords = {Laplace equations;distributed control;graph theory;matrix algebra;Dirichlet
	graph Laplacian matrix;convergence rate;distributed algorithm;distributed
	control;generalized electrical network;graph effective resistance;matrix
	values;matrix-valued effective resistance;spectral application;spectral
	properties;undirected matrix-weighted graph;Distributed control;Electric
	resistance;Electrical resistance measurement;Laplace equations;Motion
	control;Motion estimation;Motion measurement;Position measurement;Stability;Voltage},
  owner = {carsten},
  timestamp = {2013.09.24}
}

@ARTICLE{BarHes07,
  author = {Barooah, P. and Hespanha, J.P.},
  title = {{E}stimation on graphs from relative measurements},
  journal = csm,
  year = {2007},
  volume = {27},
  number = {4},
  pages = {57-74},
  issn = {1066-033X},
  doi = {10.1109/MCS.2007.384125},
  file = {BarHes07.pdf:BarHes07.pdf:PDF},
  keywords = {distributed algorithms;graph theory;wireless sensor networks;communication
	failures;distributed algorithms;distributed computing;graph estimation;large-scale
	sensor networks;optimal estimate scales;parallel computing;Area measurement;Clocks;Measurement
	errors;Monitoring;Noise measurement;Particle measurements;Performance
	evaluation;Position measurement;TV;Velocity measurement},
  owner = {carsten},
  timestamp = {2013.09.24}
}

@ARTICLE{BarMeh09,
  author = {Barooah, P. and Mehta, P.G. and Hespanha, J.P.},
  title = {{M}istuning-{B}ased {C}ontrol {D}esign to {I}mprove {C}losed-{L}oop
	{S}tability {M}argin of {V}ehicular {P}latoons},
  journal = {Automatic Control, IEEE Transactions on},
  year = {2009},
  volume = {54},
  number = {9},
  pages = {2100-2113},
  issn = {0018-9286},
  doi = {10.1109/TAC.2009.2026934},
  file = {BarMeh09.pdf:BarMeh09.pdf:PDF},
  keywords = {closed loop systems;eigenvalues and eigenfunctions;partial differential
	equations;road vehicles;closed-loop stability margin;control design;decentralized
	bidirectional control;eigenvalue;partial differential equation approximation;vehicular
	platoons;Automated highways;Automatic control;Centralized control;Communication
	system control;Computer architecture;Control design;Eigenvalues and
	eigenfunctions;Stability;Vehicle dynamics;Velocity control;Partial
	differential equation (PDE)},
  owner = {carsten},
  timestamp = {2013.09.24}
}

@ARTICLE{HedTom94,
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  year = {1994},
  volume = {14},
  number = {6},
  pages = {21-32},
  issn = {1066-033X},
  doi = {10.1109/37.334412},
  file = {HedTom94.pdf:HedTom94.pdf:PDF},
  keywords = {automated highways;road traffic;traffic control;traffic engineering
	computing;California PATH program;automated highway systems;control
	system architecture;freeway congestion;vehicle control;Automated
	highways;Automatic control;Communication system control;Control systems;Ground
	support;Humans;Road vehicles;Surges;Traffic control;Vehicle driving},
  owner = {carsten},
  timestamp = {2013.09.24}
}

@ARTICLE{FanTit91a,
  author = {M.K.H. Fan and A.L. Tits and J.C. Doyle},
  title = {{R}obustness in the presence of mixed parametric uncertainty and
	unmodeled dynamics},
  journal = tac,
  year = {1991},
  volume = {36},
  number = {1},
  pages = {25-38},
  issn = {0018-9286},
  doi = {10.1109/TAC.1974.1100652},
  file = {Pep74.pdf:Pep74.pdf:PDF},
  owner = {carsten},
  timestamp = {2013.09.25}
}

@INPROCEEDINGS{MaChe07,
  author = {Lianzeng Ma and Xuebo Chen},
  title = {{D}ecentralized {C}ontroller {D}esign for {S}tring of {M}oving {V}ehicles
	{B}ased on {I}nclusion {P}rinciple},
  booktitle = {Automation and Logistics, 2007 IEEE International Conference on},
  year = {2007},
  pages = {2451-2455},
  doi = {10.1109/ICAL.2007.4338989},
  file = {MaChe07.pdf:MaChe07.pdf:PDF},
  keywords = {decentralised control;feedback;linear quadratic Gaussian control;position
	control;road vehicles;velocity control;decentralized LQG control;decentralized
	algorithm;decentralized feedback control;decomposition methodology;distance
	bias system;high-speed moving vehicles;inclusion principle;linear
	system;position control;vehicle-string velocity;velocity control;Automated
	highways;Automotive engineering;Centralized control;Control systems;Distributed
	control;Equations;Intelligent transportation systems;Large-scale
	systems;Road vehicles;Velocity control;Intelligent transportation
	system;LQG control;inclusion principle;overlapping decomposition},
  owner = {carsten},
  timestamp = {2013.09.25}
}

@ARTICLE{DoySte81,
  author = {Doyle, J. and Stein, G.},
  title = {{M}ultivariable feedback design: {C}oncepts for a classical/modern
	synthesis},
  journal = {Automatic Control, IEEE Transactions on},
  year = {1981},
  volume = {26},
  number = {1},
  pages = {4-16},
  issn = {0018-9286},
  doi = {10.1109/TAC.1981.1102555},
  file = {DoySte81.pdf:DoySte81.pdf:PDF},
  keywords = {Linear quadratic Gaussian (LQG) control;Linear systems;Linear uncertain
	systems;Multivariable systems;Output feedback, linear systems;Transfer
	functions;Uncertain systems, linear;Control system synthesis;Feedback
	control;Feedback loop;Frequency domain analysis;Helium;MIMO;Modems;State-space
	methods;Time domain analysis;Uncertainty},
  owner = {carsten},
  timestamp = {2013.10.04}
}

@Article{LypSmi88,
  author    = {Tanya A. Lypchuk and Malcolm C. Smith and Allen Tannenbaum},
  journal   = {Linear Algebra and its Applications},
  title     = {{W}eighted sensitivity minimization: {G}eneral plants in ${H}^\infty$ and rational weights},
  year      = {1988},
  issn      = {0024-3795},
  number    = {0},
  pages     = {71 - 90},
  volume    = {109},
  doi       = {http://dx.doi.org/10.1016/0024-3795(88)90199-1},
  file      = {LypSmi88.pdf:LypSmi88.pdf:PDF},
  owner     = {carsten},
  timestamp = {2013.10.20},
  url       = {http://www.sciencedirect.com/science/article/pii/0024379588901991},
}

@ARTICLE{MeiMir02,
  author = {G. Meinsma and L. Mirkin and Q.-C. Zhong},
  title = {{C}ontrol of {S}ystems with {I/O} {D}elay via {R}eduction to a {O}ne-{B}lock
	{P}roblem},
  journal = {IEEE Trans.\ Automat.\ Control},
  year = {2002},
  volume = {47},
  number = {11},
  pages = {1890--1895},
  file = {MeiMir02.pdf:MeiMir02.pdf:PDF},
  owner = {carsten},
  timestamp = {2013.10.20}
}

@Article{ZhoKha87,
  author    = {Kemin Zhou and Pramod P Khargonekar},
  journal   = {Systems \& Control Letters},
  title     = {{O}n the weighted sensitivity minimization problem for delay systems},
  year      = {1987},
  issn      = {0167-6911},
  number    = {4},
  pages     = {307 - 312},
  volume    = {8},
  doi       = {http://dx.doi.org/10.1016/0167-6911(87)90096-X},
  file      = {ZhoKha87.pdf:ZhoKha87.pdf:PDF},
  keywords  = {<span style='font-style: italic'>H</span><sup>?��??��</sup>-Optimal sensitivity},
  owner     = {carsten},
  timestamp = {2013.10.20},
  url       = {http://www.sciencedirect.com/science/article/pii/016769118790096X},
}

@ARTICLE{BarCal73,
  author = {Barman, J. and Callier, F. and Desoer, C.A.},
  title = {{L} 2-stability and {L} 2-instability of linear time-invariant distributed
	feedback systems perturbed by a small delay in the loop},
  journal = {Automatic Control, IEEE Transactions on},
  year = {1973},
  volume = {18},
  number = {5},
  pages = {479-484},
  issn = {0018-9286},
  doi = {10.1109/TAC.1973.1100370},
  file = {BarCal73.pdf:BarCal73.pdf:PDF},
  keywords = {Delay systems;Distributed systems, linear;Stability;Computational
	Intelligence Society;Delay;Differential equations;Frequency;Stability},
  owner = {carsten},
  timestamp = {2013.10.28}
}

@ARTICLE{Pan84,
  author = {L. Pandolfi},
  title = {{E}xponential stability of 2-{D} systems},
  journal = {Systems \& Control Letters},
  year = {1984},
  volume = {4},
  number = {6},
  pages = {381 - 385},
  issn = {0167-6911},
  doi = {http://dx.doi.org/10.1016/S0167-6911(84)80081-X},
  url = {http://www.sciencedirect.com/science/article/pii/S016769118480081X},
  file = {Pan84.pdf:Pan84.pdf:PDF},
  keywords = {2-D systems},
  owner = {carsten},
  timestamp = {2013.11.01}
}

@ARTICLE{ForMar79,
  author = {Fornasini, E. and Marchesini, G.},
  title = {{O}n the internal stability of two-dimensional filters},
  journal = {Automatic Control, IEEE Transactions on},
  year = {1979},
  volume = {24},
  number = {1},
  pages = {129-130},
  issn = {0018-9286},
  doi = {10.1109/TAC.1979.1101957},
  file = {ForMar79.pdf:ForMar79.pdf:PDF},
  keywords = {Multidimensional digital filters;Recursive digital filter stability;Asymptotic
	stability;Automatic control;Equations;Filtering theory;Filters;Linear
	systems;Polynomials;Stability criteria;State-space methods;Transfer
	functions},
  owner = {carsten},
  timestamp = {2013.11.02}
}

@ARTICLE{Kam80,
  author = {Kamen, Edward W.},
  title = {{A}symptotic stability of linear shift-invariant two-dimensional
	digital filters},
  journal = {Circuits and Systems, IEEE Transactions on},
  year = {1980},
  volume = {27},
  number = {12},
  pages = {1234-1240},
  issn = {0098-4094},
  doi = {10.1109/TCS.1980.1084772},
  file = {Kam80.pdf:Kam80.pdf:PDF},
  keywords = {Asymptotic stability;Digital filter stability;General circuits and
	systems;Multidimensional digital filters;Algebra;Asymptotic stability;Convolution;Difference
	equations;Digital filters;Stability criteria;Sufficient conditions;Testing;Transfer
	functions;Two dimensional displays},
  owner = {carsten},
  timestamp = {2013.11.02}
}

@Article{HouMic01,
  author    = {Hou, L. and Michel, A.N.},
  title     = {{S}tability analysis of pulse-width-modulated feedback systems},
  journal   = {Automatica},
  year      = {2001},
  volume    = {37},
  number    = {9},
  pages     = {1335--1349},
  file      = {HouMic01.pdf:HouMic01.pdf:PDF},
  groups    = {used, Fetzer},
  owner     = {mst},
  publisher = {Elsevier},
  timestamp = {2013.11.07},
}

@InProceedings{ChaFet13,
  author    = {Chaudenson, J. and Fetzer, M. and Scherer, C. W. and Beauvois, D. and Sandou, G. and Bennani, S. and Ganet-Schoeller, M.},
  title     = {{S}tability analysis of pulse-modulated systems with an application to space launchers},
  booktitle = {Proc. of 19th IFAC Symposium on Automatic Control in Aerospace},
  year      = {2013},
  file      = {ChaFetSchBeaSanBen13.pdf:ChaFetSchBeaSanBen13.pdf:PDF},
  groups    = {used, Fetzer},
  owner     = {mst},
  timestamp = {2013.12.13},
}

@ARTICLE{Wim85,
  author = {H.K. Wimmer},
  title = {{M}onotonicity of maximal solutions of algebraic {R}iccati equations},
  journal = scl,
  year = {1985},
  volume = {5},
  number = {5},
  pages = {317 - 319},
  issn = {0167-6911},
  doi = {http://dx.doi.org/10.1016/0167-6911(85)90028-3},
  url = {http://www.sciencedirect.com/science/article/pii/0167691185900283},
  file = {Wim85.pdf:Wim85.pdf:PDF},
  keywords = {Algebraic Riccati equation},
  owner = {carsten},
  timestamp = {2014.01.09}
}

@ARTICLE{855555,
  author = {D'Andrea, R.},
  title = {{E}xtension of {P}arrott's theorem to nondefinite scalings},
  journal = {Automatic Control, IEEE Transactions on},
  year = {2000},
  volume = {45},
  number = {5},
  pages = {937-940},
  issn = {0018-9286},
  doi = {10.1109/9.855555},
  keywords = {H�� control;control system synthesis;matrix algebra;H�� control;KYP
	lemma;Parrott theorem;causality;linear matrix inequality;nondefinite
	scalings;Aerospace engineering;Linear matrix inequalities;Null space;Optimal
	control},
  owner = {carsten},
  timestamp = {2014.01.28}
}

@Article{FujKao07,
  author    = {Fujioka, H. and C.-Y. Kao and S. Almer and U. J{\"o}nsson},
  title     = {{LQ} optimal control for a class of pulse width modulated systems},
  journal   = {Automatica},
  year      = {2007},
  volume    = {43},
  number    = {6},
  pages     = {1009 - 1020},
  issn      = {0005-1098},
  doi       = {http://dx.doi.org/10.1016/j.automatica.2006.12.011},
  file      = {FujKaoAlmJoen07.pdf:FujKaoAlmJoen07.pdf:PDF},
  groups    = {used, Fetzer},
  keywords  = {Pulse width modulation},
  owner     = {mst},
  timestamp = {2014.05.05},
  url       = {http://www.sciencedirect.com/science/article/pii/S0005109807000684},
}

@Article{Yak75,
  author    = {Yakubovich, V. A.},
  title     = {{A} frequency theorem for the case in which the state and control spaces are hilbert spaces, with an application to some problems of synthesis of optimal controls, {II}},
  journal   = {Siberian Mathematical Journal},
  year      = {1975},
  volume    = {16},
  number    = {5},
  pages     = {828--845},
  file      = {Yak75.pdf:Yak75.pdf:PDF},
  groups    = {used, Fetzer},
  owner     = {mst},
  publisher = {Springer},
  timestamp = {2014.05.13},
}

@ARTICLE{MeiMir05,
  author = {Meinsma, G. and Mirkin, L.},
  title = {{H} infin; control of systems with multiple {I}/{O} delays via decomposition
	to adobe problems},
  journal = {Automatic Control, IEEE Transactions on},
  year = {2005},
  volume = {50},
  number = {2},
  month = {Feb},
  pages = {199-211},
  issn = {0018-9286},
  doi = {10.1109/TAC.2004.841936},
  file = {MeiMir05.pdf:MeiMir05.pdf:PDF},
  keywords = {H�� control;delays;feedback;H�� control;adobe delay operators;adobe
	problems;feedback loop;multiple I/O delays;Added delay;Control systems;Delay
	effects;Feedback loop;MIMO;Mathematics;Mechanical engineering;Optimal
	control;Process control;Riccati equations},
  owner = {carsten},
  timestamp = {2014.07.19}
}

@ARTICLE{MeiMir10,
  author = {Meinsma, G. and Mirkin, L.},
  title = {{S}ampling {F}rom a {S}ystem-{T}heoretic {V}iewpoint: {P}art {I}
	- {C}oncepts and {T}ools},
  journal = {Signal Processing, IEEE Transactions on},
  year = {2010},
  volume = {58},
  number = {7},
  month = {July},
  pages = {3578-3590},
  issn = {1053-587X},
  doi = {10.1109/TSP.2010.2047641},
  file = {MeiMir10.pdf:MeiMir10.pdf:PDF},
  keywords = {signal reconstruction;signal sampling;analog signal reconstruction
	problems;hybrid model matching problem;lifting technique;operator
	theory;sampling problem;system theoretic approach;systematic treatment;Causality;lifting;sampling
	and reconstruction;signal modeling;stability;system norms},
  owner = {carsten},
  timestamp = {2014.07.19}
}

@ARTICLE{MeiMir10a,
  author = {Meinsma, G. and Mirkin, L.},
  title = {{S}ampling {F}rom a {S}ystem-{T}heoretic {V}iewpoint: {P}art {II}
	- {N}oncausal {S}olutions},
  journal = {Signal Processing, IEEE Transactions on},
  year = {2010},
  volume = {58},
  number = {7},
  month = {July},
  pages = {3591-3606},
  issn = {1053-587X},
  doi = {10.1109/TSP.2010.2047642},
  file = {MeiMir10a.pdf:MeiMir10a.pdf:PDF},
  keywords = {signal sampling;system theory;continuous-time invariance;noncausal
	sampling;noncausal solution;optimal sampling-and-reconstruction circuit;optimization-based
	approach;performance measure;reconstruction problem;sampling theorem;signal
	generator;system norms;system-theoretic viewpoint;Cardinal splines;Least-square
	optimization;Shannon formula;Wiener filtering;lifting;min-max optimization;non-causal
	filters;sampling and reconstruction},
  owner = {carsten},
  timestamp = {2014.07.19}
}

@ARTICLE{MirPal11,
  author = {Mirkin, L. and Palmor, Z.J. and Shneiderman, D.},
  title = {{D}ead-{T}ime {C}ompensation for {S}ystems {W}ith {M}ultiple {I}/{O}
	{D}elays: {A} {L}oop-{S}hifting {A}pproach},
  journal = {Automatic Control, IEEE Transactions on},
  year = {2011},
  volume = {56},
  number = {11},
  month = {Nov},
  pages = {2542-2554},
  issn = {0018-9286},
  doi = {10.1109/TAC.2011.2108530},
  file = {MirPal11.pdf:MirPal11.pdf:PDF},
  keywords = {MIMO systems;compensation;delays;feedforward;prediction theory;dead-time
	compensation;equivalent delay-free problem;feedforward action Smith
	predictor;input-output channels;interchannel feedforward term;loop-shifting
	approach;loop-shifting arguments;multiple I/O delay systems;Control
	systems;Delay;Feedforward neural networks;Finite impulse response
	filter;Joining processes;Optimization;Transfer functions;Control
	and estimation with preview;dead-time compensation;time-delay systems},
  owner = {carsten},
  timestamp = {2014.07.19}
}

@Article{ChuMed09,
  author    = {A. Churilov and A. Medvedev and A. Shepeljavyi},
  title     = {{M}athematical model of non-basal testosterone regulation in the male by pulse modulated feedback},
  journal   = {Automatica},
  year      = {2009},
  volume    = {45},
  number    = {1},
  pages     = {78 - 85},
  issn      = {0005-1098},
  doi       = {http://dx.doi.org/10.1016/j.automatica.2008.06.016},
  groups    = {Fetzer},
  keywords  = {Biomedical systems},
  owner     = {Matthias},
  timestamp = {2014.08.05},
  url       = {http://www.sciencedirect.com/science/article/pii/S0005109808003890},
}

@Article{GelChu96,
  author    = {Gelig, A. Kh. and Churilov, A. N.},
  title     = {{S}tability and {O}scillations in {P}ulse-modulated {S}ystems: {A} {R}eview of {M}athematical {A}pproaches},
  journal   = {Functional Differential Equations},
  year      = {1996},
  volume    = {3},
  number    = {3-4},
  pages     = {287--420},
  groups    = {used, Fetzer},
  owner     = {Matthias},
  timestamp = {2014.08.05},
}

@Article{MeiMir10b,
  author    = {Meinsma, G. and Mirkin, L.},
  title     = {{S}ampling from a system-theoretic viewpoint: {P}art {I} -concepts and tools},
  journal   = {IEEE T. Signal Proces.},
  year      = {2010},
  volume    = {58},
  number    = {7},
  pages     = {3578--3590},
  file      = {MeiMir10.pdf:..\\03_papers\\MeiMir10.pdf:PDF},
  groups    = {used, SD, Fetzer},
  owner     = {Matthias},
  publisher = {IEEE},
  timestamp = {2014.08.06},
}

@Article{Yam94,
  author    = {Yamamoto, Y.},
  title     = {{A} function space approach to sampled data control systems and tracking problems},
  journal   = tac,
  year      = {1994},
  volume    = {39},
  number    = {4},
  pages     = {703--713},
  file      = {Yam94.pdf:..\\03_papers\\Yam94.pdf:PDF},
  groups    = {used, SD, Fetzer},
  owner     = {Matthias},
  publisher = {IEEE},
  timestamp = {2014.08.06},
}

@INPROCEEDINGS{PipIwa13,
  author = {Pipeleers, G. and Iwasaki, T. and Hara, S.},
  title = {{G}eneralizing the {KYP} lemma to the union of intervals},
  booktitle = {Control Conference (ECC), 2013 European},
  year = {2013},
  month = {July},
  pages = {3913-3918},
  file = {PipIwa13.pdf:PipIwa13.pdf:PDF},
  keywords = {curve fitting;linear matrix inequalities;KYP lemma;Kalman-Yakubovich-Popov
	lemma;circle segments union;complex plane;line segments union;linear
	matrix inequality;semi-infinite inequality;Educational institutions;Linear
	matrix inequalities;Matrix decomposition;Polynomials;Symmetric matrices;TV;Tin},
  owner = {carsten},
  timestamp = {2014.08.26}
}

@Article{GeoSmi89,
  author    = {Tryphon T. Georgiou and Malcolm C. Smith},
  journal   = scl,
  title     = {w-{S}tability of feedback systems},
  year      = {1989},
  issn      = {0167-6911},
  number    = {4},
  pages     = {271 - 277},
  volume    = {13},
  abstract  = {This paper introduces the notion of w-stability of feedback systems.
	This is a generalization of a concept of well-posedness discussed
	by Willems. w-Stability requires that a feedback system should remain
	stable under a certain class of perturbations which may not be vanishingly
	small when measured by the gap metric. The paper derives necessary
	and sufficient conditions for a feedback system to be w-stable. Further,
	an investigation of well posedness is given for feedback systems
	where high frequency roll-off has been suppressed for modelling simplicity.
	This question is pertinent in standard \{PID\} control.},
  doi       = {http://dx.doi.org/10.1016/0167-6911(89)90115-1},
  file      = {GeoSmi89.pdf:GeoSmi89.pdf:PDF},
  keywords  = {Stability},
  owner     = {carsten},
  timestamp = {2014.09.01},
  url       = {http://www.sciencedirect.com/science/article/pii/0167691189901151},
}

@InProceedings{HouMic00,
  author       = {Hou, L. and Michel, A. N.},
  title        = {{M}oment stability of pulse-width-modulated feedback systems subjected to random disturbances},
  booktitle    = cdc00,
  year         = {2000},
  volume       = {3},
  pages        = {2343--2348},
  organization = {IEEE},
  file         = {HouMic00.pdf:..\\03_papers\\HouMic00.pdf:PDF},
  groups       = {used, Fetzer},
  owner        = {Matthias},
  timestamp    = {2014.09.03},
}

@Article{AgrMcC97,
  author    = {Agrawal, B. N. and McClelland, R. S. and Song, G.},
  title     = {{A}ttitude control of flexible spacecraft using pulse-width pulse-frequency modulated thrusters},
  journal   = {Space Technology},
  year      = {1997},
  volume    = {17},
  number    = {1},
  pages     = {15-34},
  abstract  = {This paper presents the results of attitude control of flexible spacecraft
	using Pulse Width Pulse Frequency (PWPF) modulated thruster. The
	control object in this paper is the U.S. Naval Postgraduate School's
	Flexible Spacecraft Simulator (FSS), which is comprised of a rigid
	central body and a flexible appendage. Simulations show that the
	use of pulse-width pulse-frequency modulated thrusters provides several
	important advantages over conventional bang-bang thruster control,
	including less thruster activity, smoother control action, and closer-to-linear
	actuation. The control loop design in the presence of structural
	flexibility and possible interaction with the PWPF modulator nonlinearity
	are addressed. Using a describing function model of the modulator,
	the stability margin with respect to the structure mode limit cycle
	is predicted in the control design. Simulations show that the predicted
	stability margin is conservative but acceptable.},
  doi       = {doi:10.1016/S0892-9270(97)00017-1},
  file      = {AgrMcCSon00.pdf:..\\03_papers\\AgrMcCSon00.pdf:PDF},
  groups    = {used, Fetzer},
  owner     = {Matthias},
  timestamp = {2014.09.05},
  url       = {http://www.ingentaconnect.com/content/els/08929270/1997/00000017/00000001/art00017},
}

@Article{GelChu93,
  author    = {Gelig, A. Kh. and Churilov, A. N.},
  title     = {{P}opov-type stability criterion for the functional-differential equations describing pulse modulated control systems},
  journal   = {Functional Differential Equations},
  year      = {1993},
  volume    = {1},
  pages     = {95--107},
  file      = {GelChu93.pdf:..\\03_papers\\GelChu93.pdf:PDF},
  groups    = {used, Fetzer},
  owner     = {Matthias},
  timestamp = {2014.09.05},
}

@ARTICLE{Meg97,
  author = {Megretski, A.},
  title = {{I}ntegral quadratic constraints for systems with rate limiters},
  year = {1997},
  file = {:Meg97.pdf:PDF},
  groups = {used, Fetzer},
  owner = {Matthias},
  publisher = {Massachusetts Institute of Technology, Laboratory for Information
	and Decision Systems},
  timestamp = {2014.09.09}
}

@Article{ThoDai86,
  author    = {Peter M. Thompson and R.Lane Dailey and John C. Doyle},
  journal   = scl,
  title     = {{N}ew conic sectors for sampled-data feedback systems},
  year      = {1986},
  issn      = {0167-6911},
  number    = {5},
  pages     = {395 - 404},
  volume    = {7},
  abstract  = {New conic sectors are presented which can be used to analyze sampled-data
	feedback systems. First, a cone is constructed which contains just
	the sampler. Next, by using conic sector results for interconnected
	systems, the cone is propagated to the entire sampled-data operator.
	The new cone result is less conservative (has a smaller radius) and
	removes the restriction of an open-loop stable sampled-data compensator.},
  doi       = {http://dx.doi.org/10.1016/0167-6911(86)90058-7},
  file      = {ThoDai86.pdf:ThoDai86.pdf:PDF},
  keywords  = {Conic sectors},
  owner     = {carsten},
  timestamp = {2014.09.09},
  url       = {http://www.sciencedirect.com/science/article/pii/0167691186900587},
}

@Article{ThoSte83,
  author    = {Peter M Thompson and Gunter Stein and Michael Athans},
  journal   = scl,
  title     = {{C}onic sectors for sampled-data feedback systems},
  year      = {1983},
  issn      = {0167-6911},
  number    = {2},
  pages     = {77 - 82},
  volume    = {3},
  abstract  = {A multivariable analog system can be controlled by a sampled-data
	compensator. A conic sector that can be used to analyze the closed-loop
	stability and robustness of this feedback system is presented in
	this letter.},
  doi       = {http://dx.doi.org/10.1016/0167-6911(83)90004-X},
  file      = {ThoSte83.pdf:ThoSte83.pdf:PDF},
  keywords  = {Sampled-data feedback systems},
  owner     = {carsten},
  timestamp = {2014.09.09},
  url       = {http://www.sciencedirect.com/science/article/pii/016769118390004X},
}

@ARTICLE{CheLat95,
  author = {Jie Chen and Latchman, H.A},
  title = {{F}requency sweeping tests for stability independent of delay},
  journal = {Automatic Control, IEEE Transactions on},
  year = {1995},
  volume = {40},
  number = {9},
  month = {Sep},
  pages = {1640-1645},
  issn = {0018-9286},
  doi = {10.1109/9.412637},
  file = {CheLat95.pdf:CheLat95.pdf:PDF},
  keywords = {asymptotic stability;control system analysis;delay systems;linear
	systems;state-space methods;uncertain systems;asymptotic stability;delay
	systems;frequency sweeping tests;linear time-invariant systems;necessary
	condition;state space;structured singular values;sufficient condition;uncertain
	systems;Asymptotic stability;Automatic control;Control nonlinearities;Control
	systems;Delay systems;Frequency;Process control;System testing;Transfer
	functions;Uncertainty},
  owner = {carsten},
  timestamp = {2014.09.24}
}

@Article{FetSch16a,
  author    = {Fetzer, M. and Scherer, C. W.},
  journal   = {SIAM J. Contr. Optim.},
  title     = {{A} {G}eneral {I}ntegral {Q}uadratic {C}onstraints {T}heorem with {A}pplications to a {C}lass of {S}ampled-{D}ata {S}ystems},
  year      = {2016},
  number    = {3},
  pages     = {1105-1125},
  volume    = {54},
  doi       = {10.1137/140985482},
  file      = {:Scherer/FetSch16a.pdf:PDF},
  groups    = {used, Fetzer},
  owner     = {Matthias},
  timestamp = {2014.10.07},
}

@InProceedings{SumPac10,
  author    = {Summers, E. and Packard, A.},
  booktitle = CDC10,
  title     = {{$L_2$} gain verification for interconnections of locally stable systems using integral quadratic constraints},
  year      = {2010},
  pages     = {1460-1465},
  doi       = {10.1109/CDC.2010.5718110},
  groups    = {used, Fetzer, SchVee18},
  issn      = {0743-1546},
  keywords  = {nonlinear control systems;reachability analysis;stability;L2 gain estimation;L2 gain verification;fixed nonlinear dynamical system;integral quadratic constraints;local stable system interconnection;reachability calculation;Analytical models;Nonlinear dynamical systems;Polynomials;Programming;Robustness;Uncertainty},
  owner     = {Matthias},
  timestamp = {2014.10.07},
}

@Article{TurKer12,
  author    = {Turner, M. C. and Kerr, M. L.},
  title     = {{$L_2$} gain bounds for systems with sector bounded and slope-restricted nonlinearities},
  journal   = {Int. J. Robust Nonlin.},
  year      = {2012},
  volume    = {22},
  number    = {13},
  pages     = {1505--1521},
  issn      = {1099-1239},
  doi       = {10.1002/rnc.1763},
  file      = {TurKer12.pdf:..\\03_papers\\TurKer12.pdf:PDF},
  groups    = {used, Fetzer},
  keywords  = {absolute stability, slope-restricted nonlinearity, sector bounds, integral quadratic constraints, anti-windup},
  owner     = {Matthias},
  publisher = {John Wiley \& Sons, Ltd},
  timestamp = {2014.10.08},
  url       = {http://dx.doi.org/10.1002/rnc.1763},
}

@InProceedings{CheWen95a,
  author    = {Chen, X. and Wen, J. T.},
  booktitle = acc,
  title     = {{R}obustness analysis of {LTI} systems with structured incrementally sector bounded nonlinearities},
  year      = {1995},
  pages     = {3883-3887},
  doi       = {10.1109/ACC.1995.533869},
  file      = {CheWen95a.pdf:..\\03_papers\\CheWen95a.pdf:PDF},
  groups    = {used, Fetzer, CSM20},
  keywords  = {control nonlinearities;control system analysis;convex programming;feedback;matrix algebra;multivariable control systems;nonlinear control systems;nonlinear programming;robust control;stability criteria;state-space methods;LTI systems;Zames-Falb multiplier;convex optimization;generalized structured singular value;largest stability bound;linear matrix inequalities;multivariable linear time-invariant system;negative feedback interconnection;robustness analysis;stability analysis;state-space parameters;structured time-invariant incrementally sector bounded nonlinearity;symmetric incrementally sector bounded structured nonlinearities;upper bound;Linear matrix inequalities;Negative feedback;Optimization methods;Packaging;Robust stability;Robustness;Stability analysis;Stability criteria;State-space methods;Uncertainty},
  owner     = {Matthias},
  timestamp = {2014.10.09},
}

@InProceedings{PitTar97,
  author    = {Pittet, C. and Tarbouriech, S. and Burgat, C.},
  title     = {{S}tability regions for linear systems with saturating controls via circle and {P}opov criteria},
  booktitle = CDC97,
  year      = {1997},
  volume    = {5},
  pages     = {4518-4523},
  doi       = {10.1109/CDC.1997.649683},
  file      = {PitTarBur97.pdf:..\\03_papers\\PitTarBur97.pdf:PDF},
  groups    = {used, Fetzer},
  issn      = {0191-2216},
  keywords  = {Popov criterion;Riccati equations;absolute stability;continuous time systems;control system synthesis;linear systems;matrix algebra;optimisation;state feedback;Popov criteria;Riccati equations;absolute stability;circle criteria;input saturation;linear constraints;linear continuous-time systems;linear matrix inequalities;quadratic optimization problems;saturating controls;stability domains;stability regions;state feedback controllers;Control systems;Linear feedback control systems;Linear matrix inequalities;Linear systems;Lyapunov method;Riccati equations;Stability criteria;State feedback;Symmetric matrices;Vectors},
  owner     = {Matthias},
  timestamp = {2014.10.09},
}

@Article{FanLin04,
  author    = {H. Fang and Z. Lin and T. Hu},
  title     = {{A}nalysis of linear systems in the presence of actuator saturation and {$L_2$}-disturbances},
  journal   = {Automatica},
  year      = {2004},
  volume    = {40},
  number    = {7},
  pages     = {1229 - 1238},
  issn      = {0005-1098},
  doi       = {http://dx.doi.org/10.1016/j.automatica.2004.02.009},
  groups    = {used, Fetzer},
  keywords  = {Actuator saturation},
  owner     = {mst},
  timestamp = {2014.10.30},
}

@Article{HuLin02,
  author    = {T. Hu and Z. Lin and B. M. Chen},
  journal   = {Automatica},
  title     = {{A}n analysis and design method for linear systems subject to actuator saturation and disturbance},
  year      = {2002},
  issn      = {0005-1098},
  number    = {2},
  pages     = {351 - 359},
  volume    = {38},
  abstract  = {We present a method for estimating the domain of attraction of the
	origin for a system under a saturated linear feedback. A simple condition
	is derived in terms of an auxiliary feedback matrix for determining
	if a given ellipsoid is contractively invariant. This condition is
	shown to be less conservative than the existing conditions which
	are based on the circle criterion or the vertex analysis. Moreover,
	the condition can be expressed as linear matrix inequalities (LMIs)
	in terms of all the varying parameters and hence can easily be used
	for controller synthesis. This condition is then extended to determine
	the invariant sets for systems with persistent disturbances. \{LMI\}
	based methods are developed for constructing feedback laws that achieve
	disturbance rejection with guaranteed stability requirements. The
	effectiveness of the developed methods is illustrated with examples.},
  doi       = {http://dx.doi.org/10.1016/S0005-1098(01)00209-6},
  groups    = {used, Fetzer},
  keywords  = {Actuator saturation},
  owner     = {mst},
  timestamp = {2014.10.30},
  url       = {http://www.sciencedirect.com/science/article/pii/S0005109801002096},
}

@Article{Tay92,
  author    = {Taylor, D.G.},
  title     = {{P}ulse-width modulated control of electromechanical systems},
  journal   = tac,
  year      = {1992},
  volume    = {37},
  number    = {4},
  pages     = {524-528},
  issn      = {0018-9286},
  doi       = {10.1109/9.126591},
  groups    = {used, Fetzer},
  keywords  = {actuators;control system synthesis;feedback;linearisation techniques;pulse width modulation;actuators;approximate feedback linearization;control system synthesis;electrical transients;electromechanical systems;integral manifold approach;pulse-width modulated control;torque ripple;trajectory tracking;Actuators;Adaptive control;Automatic control;Control systems;Electromechanical systems;Linear approximation;Pulse amplifiers;Pulse modulation;Pulse width modulation;Space vector pulse width modulation},
  owner     = {mst},
  timestamp = {2014.10.30},
}

@InProceedings{ChaSei11,
  author    = {Chakraborty, A. and Seiler, P. and Balas, G. J.},
  title     = {{L}ocal performance analysis of uncertain polynomial systems with applications to actuator saturation},
  booktitle = cdc11,
  year      = {2011},
  doi       = {10.1109/CDC.2011.6161016},
  file      = {ChaSeiBal11.pdf:..\\03_papers\\ChaSeiBal11.pdf:PDF},
  groups    = {used, Fetzer},
  issn      = {0743-1546},
  keywords  = {actuators;optimisation;polynomials;position control;L2 gain;actuator position;actuator rate limit;actuator saturation;dissipation inequality;gain upper bound condition;integral quadratic constraint;performance analysis;sum-of-squares optimization;uncertain polynomial system;Actuators;Mathematical model;Optimization;Polynomials;Time domain analysis;Upper bound},
  owner     = {mst},
  timestamp = {2014.11.06},
}

@Article{HuTee08,
  author    = {T. Hu and A.R. Teel and L. Zaccarian},
  title     = {{A}nti-windup synthesis for linear control systems with input saturation: {A}chieving regional, nonlinear performance},
  journal   = {Automatica},
  year      = {2008},
  volume    = {44},
  number    = {2},
  pages     = {512 - 519},
  issn      = {0005-1098},
  doi       = {http://dx.doi.org/10.1016/j.automatica.2007.06.003},
  groups    = {used, Fetzer},
  keywords  = {Anti-windup synthesis},
  owner     = {mst},
  timestamp = {2014.11.25},
  url       = {http://www.sciencedirect.com/science/article/pii/S0005109807002907},
}

@Article{MulKot01,
  author    = {Eric F. Mulder and Mayuresh V. Kothare and Manfred Morari},
  title     = {{M}ultivariable anti-windup controller synthesis using linear matrix inequalities},
  journal   = {Automatica},
  year      = {2001},
  volume    = {37},
  number    = {9},
  pages     = {1407 - 1416},
  issn      = {0005-1098},
  doi       = {http://dx.doi.org/10.1016/S0005-1098(01)00075-9},
  groups    = {used, Fetzer},
  keywords  = {Input nonlinearity},
  owner     = {mst},
  timestamp = {2014.11.25},
  url       = {http://www.sciencedirect.com/science/article/pii/S0005109801000759},
}

@Article{SumCha13,
  author    = {Summers, E. and Chakraborty, A. and Tan, W. and Topcu, U. and Seiler, P. and Balas, G. and Packard, A.},
  journal   = {Int. J. Robust Nonlin.},
  title     = {{Q}uantitative local {L}2-gain and {R}eachability analysis for nonlinear systems},
  year      = {2013},
  issn      = {1099-1239},
  number    = {10},
  pages     = {1115--1135},
  volume    = {23},
  doi       = {10.1002/rnc.2948},
  file      = {:SumCha13.pdf:PDF},
  groups    = {used, Fetzer, SchVee18},
  keywords  = {dissipation inequalities, nonlinear systems, reachability, local L2 gain, sum-of-squares polynomial},
  owner     = {mst},
  timestamp = {2014.11.25},
  url       = {http://dx.doi.org/10.1002/rnc.2948},
}

@Article{ZacTee04,
  author    = {Zaccarian, L. and Teel, A. R.},
  title     = {{N}onlinear scheduled anti-windup design for linear systems},
  journal   = tac,
  year      = {2004},
  volume    = {49},
  number    = {11},
  pages     = {2055-2061},
  month     = {Nov},
  issn      = {0018-9286},
  doi       = {10.1109/TAC.2004.837539},
  groups    = {used, Fetzer},
  keywords  = {asymptotic stability;control nonlinearities;control system synthesis;linear matrix inequalities;linear systems;nonlinear control systems;state feedback;time-varying systems;asymptotic stability;linear matrix inequality;linear systems;nonlinear scheduled antiwindup design;state feedback synthesis;switching control;Control system synthesis;Control systems;Hysteresis;Impedance matching;Linear systems;Nonlinear control systems;Nonlinear dynamical systems;Performance gain;Signal synthesis;State feedback;65;Anti-windup;constrained control;scheduled linear;switching control},
  owner     = {mst},
  timestamp = {2014.11.25},
}

@ARTICLE{DaaBer08,
  author = {Daafouz, J. and Bernussou, J. and Geromel, J.C.},
  title = {{O}n {I}nexact {LPV} {C}ontrol {D}esign of {C}ontinuous-{T}ime {P}olytopic
	{S}ystems},
  journal = {Automatic Control, IEEE Transactions on},
  year = {2008},
  volume = {53},
  number = {7},
  month = {Aug},
  pages = {1674-1678},
  issn = {0018-9286},
  doi = {10.1109/TAC.2008.928119},
  file = {DaaBer08.pdf:DaaBer08.pdf:PDF},
  keywords = {continuous time systems;control system synthesis;linear matrix inequalities;linear
	systems;uncertain systems;LMI;LPV control design;continuous-time
	polytopic systems;control synthesis;convex programming framework;linear
	matrix inequality;linear parameter-varying control;nonconvex problems;polytopic
	parameter dependence;robust dynamic output design;uncertainty set;Aerodynamics;Control
	design;Control system synthesis;Control systems;Dynamic programming;Linear
	matrix inequalities;Linear programming;Lyapunov method;Output feedback;Robust
	control;Linear matrix inequality (LMI);linear parameter-varying (LPV)
	control design;uncertain linear systems},
  owner = {carsten},
  timestamp = {2015.01.25}
}

@PHDTHESIS{Pea15,
  author = {Peaucelle, D.},
  title = {{S}eparation {I}ntegrale {Q}uadratique et {A}pplications en {C}ommande
	{R}obuste},
  year = {2015},
  file = {Pea15.pdf:Pea15.pdf:PDF},
  owner = {carsten},
  timestamp = {2015.02.01}
}

@Article{FanLin08,
  author    = {H. Fang and Z. Lin and M. Rotea},
  title     = {{O}n {IQC} approach to the analysis and design of linear systems subject to actuator saturation},
  journal   = {Syst. Control Lett.},
  year      = {2008},
  volume    = {57},
  number    = {8},
  pages     = {611 - 619},
  issn      = {0167-6911},
  doi       = {http://dx.doi.org/10.1016/j.sysconle.2007.08.016},
  file      = {FanLinRot08.pdf:..\\03_papers\\FanLinRot08.pdf:PDF},
  groups    = {used, Fetzer},
  keywords  = {Actuator saturation},
  owner     = {mst},
  timestamp = {2015.02.10},
}

@InProceedings{PaiTar02,
  author    = {Paim, C. and Tarbouriech, S. and da Silva, J.M.G., Jr. and Castelan, E.B.},
  title     = {{C}ontrol design for linear systems with saturating actuators and {$L_2$}-bounded disturbances},
  booktitle = CDC02,
  year      = {2002},
  volume    = {4},
  pages     = {4148-4153},
  doi       = {10.1109/CDC.2002.1185019},
  file      = {PaiTarSilCas02.pdf:..\\03_papers\\PaiTarSilCas02.pdf:PDF},
  groups    = {used, Fetzer},
  issn      = {0191-2216},
  keywords  = {actuators;closed loop systems;control nonlinearities;control system synthesis;linear systems;nonlinear systems;stability;state feedback;L2-bounded disturbances;closed loop system;control design;external stability;internal stability;linear systems;multiobjective problem;multipliers;nonlinearity;saturating actuators;stability conditions;state feedback control laws synthesis;synthesis problem;Control design;Control system synthesis;Control systems;Hydraulic actuators;Linear systems;Nonlinear dynamical systems;Nonlinear equations;Signal synthesis;Stability;State feedback},
  owner     = {mst},
  timestamp = {2015.02.10},
}

@InProceedings{PeaTar12,
  author    = {Peaucelle, D. and Tarbouriech, S. and Ganet-Schoeller, M. and Bennani, S.},
  title     = {{E}valuating regions of attraction of {LTI} systems with saturations in {IQS} framework},
  booktitle = {7th IFAC Symposium on Robust Control Design},
  year      = {2012},
  file      = {PeaTarGanBen12.pdf:..\\03_papers\\PeaTarGanBen12.pdf:PDF},
  groups    = {used, Fetzer},
  owner     = {mst},
  timestamp = {2015.02.10},
}

@Article{HuHua04,
  author    = {T. Hu and B. Huang and Z. Lin},
  title     = {{A}bsolute stability with a generalized sector condition},
  journal   = tac,
  year      = {2004},
  volume    = {49},
  number    = {4},
  pages     = {535-548},
  issn      = {0018-9286},
  doi       = {10.1109/TAC.2004.825657},
  file      = {HuHuaLin04.pdf:..\\03_papers\\HuHuaLin04.pdf:PDF},
  groups    = {used, Fetzer},
  keywords  = {invariance;linear matrix inequalities;nonlinear systems;optimisation;piecewise linear techniques;stability;absolute contractive invariance ellipsoids;absolute stability;attraction domain estimation;generalized sector condition;linear matrix inequalities;linear sector;nonlinear component;optimization technique;piecewise linear concave functions;piecewise linear convex functions;subsystems;Control theory;Ellipsoids;Linear matrix inequalities;Nonlinear control systems;Nonlinear systems;Piecewise linear techniques;Robust control;Robust stability;Stability analysis;Sufficient conditions},
  owner     = {mst},
  timestamp = {2015.02.11},
}

@Misc{Joe01,
  author    = {J{\"o}nsson, U. T.},
  title     = {{L}ecture {N}otes on {I}ntegral {Q}uadratic {C}onstraints},
  year      = {2001},
  file      = {Joe01.pdf:..\\03_papers\\Joe01.pdf:PDF},
  groups    = {used, Fetzer},
  owner     = {mst},
  timestamp = {2015.02.11},
}

@Article{HuTee06,
  author    = {T. Hu and Teel, A. R. and Zaccarian, L.},
  title     = {{S}tability and {P}erformance for {S}aturated {S}ystems via {Q}uadratic and {N}onquadratic {L}yapunov {F}unctions},
  journal   = tac,
  year      = {2006},
  volume    = {51},
  number    = {11},
  pages     = {1770-1786},
  issn      = {0018-9286},
  doi       = {10.1109/TAC.2006.884942},
  file      = {HuTeeZac06.pdf:..\\03_papers\\HuTeeZac06.pdf:PDF},
  groups    = {used, Fetzer},
  keywords  = {Lyapunov matrix equations;algebra;control nonlinearities;feedback;linear matrix inequalities;algebraic loop;bilinear matrix inequalities;convex hull quadratic function;deadzone function;general feedback configuration;linear matrix inequalities;max quadratic function;nonquadratic Lyapunov function;norm-bounded differential inclusion;polytopic differential inclusion;quadratic Lyapunov function;saturated system stability;Actuators;Control systems;Design optimization;Feedback;Level set;Linear matrix inequalities;Lyapunov method;Performance analysis;Sensor systems;Stability analysis;Deadzone;Lyapunov functions;domain of attraction;nonlinear ${cal L}_{2}$ gain;reachable set;saturation},
  owner     = {mst},
  timestamp = {2015.02.16},
}

@InProceedings{MatSal09,
  author    = {Materassi, D. and Salapaka, M.V.},
  title     = {{A}ttraction domain estimates combining lyapunov functions},
  booktitle = acc,
  year      = {2009},
  pages     = {4007-4012},
  doi       = {10.1109/ACC.2009.5160537},
  file      = {MatSal09.pdf:..\\03_papers\\MatSal09.pdf:PDF},
  groups    = {used, Fetzer},
  issn      = {0743-1619},
  keywords  = {Lyapunov methods;feedback;linear matrix inequalities;nonlinear control systems;LMI solvers;attraction domain estimates;feedback interconnection;linear time-invariant system;memoryless static operator;nonlinear models;quadratic Lyapunov functions;Asymptotic stability;Atomic force microscopy;Computational modeling;Control systems;Ellipsoids;Linear feedback control systems;Lyapunov method;Microelectromechanical systems;Robust stability;Sufficient conditions},
  owner     = {mst},
  timestamp = {2015.02.16},
}

@ARTICLE{CicGal13,
  author = {B. Cichy and K. Galkowski and E. Rogers and A. Kummert},
  title = {{C}ontrol law design for discrete linear repetitive processes with
	non-local updating structures},
  journal = {Multidimensional Systems and Signal Processing},
  year = {2013},
  volume = {24},
  number = {4},
  pages = {707--726},
  url = {http://eprints.soton.ac.uk/353078/},
  abstract = {Repetitive processes are a class of 2D systems where information propagation
	in one direction is of finite duration. These processes make a series
	of sweeps, termed passes, through a set of dynamics and on completion
	of each pass resetting to the starting position occurs ready for
	the start of the next pass. The control problem is that the previous
	pass output, termed the pass profile, acts as a forcing function
	on the current pass and can result in oscillations that increase
	in amplitude from pass-to-pass. In the case of discrete dynamics,
	these processes have structural links with 2D systems described by
	the well known Roesser and Fornasini?Marchesini state-space models
	but some applications require updating structures that cannot be
	represented by these models. This requirement arises either in adequately
	modeling the dynamics or as a result of the control law structure
	and requires the development of a systems theory for eventual use
	in applications. In this paper such a theory is advanced through
	the development of new control law design algorithms.},
  owner = {carsten},
  timestamp = {2015.02.22}
}

@Article{CicGal14,
  author    = {B. Cichy and K. Galkowski and Eric Rogers},
  journal   = scl,
  title     = {2{D} systems based robust iterative learning control using noncausal finite-time interval data},
  year      = {2014},
  issn      = {0167-6911},
  number    = {0},
  pages     = {36 - 42},
  volume    = {64},
  abstract  = {Abstract This paper uses a 2D system setting in the form of repetitive
	process stability theory to design an iterative learning control
	law that is robust against model uncertainty. In iterative learning
	control the same finite duration operation, known as a trial over
	the trial length, is performed over and over again with resetting
	to the starting location once each is complete, or a stoppage at
	the end of the current trial before the next one begins. The basic
	idea of this form of control is to use information from the previous
	trial, or a finite number thereof, to compute the control input for
	the next trial. At any instant on the current trial, data from the
	complete previous trial is available and hence noncausal information
	in the trial length indeterminate can be used. This paper also shows
	how the new 2D system based design algorithms provide a setting for
	the effective deployment of such information.},
  doi       = {http://dx.doi.org/10.1016/j.sysconle.2013.11.002},
  file      = {CicGal14.pdf:CicGal14.pdf:PDF},
  keywords  = {Iterative learning control},
  owner     = {carsten},
  timestamp = {2015.02.22},
  url       = {http://www.sciencedirect.com/science/article/pii/S0167691113002168},
}

@ARTICLE{DabGal13,
  author = {P. Dabkowski and K. Galkowski and O. Bachelier and E. Rogers and
	M. Sebek and A. Kummert},
  title = {{C}ontrol of differential linear repetitive processes using strong
	practical stability and {H}? disturbance attenuation},
  journal = {International Journal of Control},
  year = {2013},
  volume = {86},
  number = {4},
  pages = {636--649},
  url = {http://eprints.soton.ac.uk/353077/},
  abstract = {Repetitive processes have a 2D systems structure and therefore standard
	control theory and design algorithms are not applicable. This paper
	develops new algorithms for differential processes to achieve stabilization
	together with a prescribed level of disturbance attenuation as measured
	by an H?-norm. There are several physically motivated definitions
	of stability for repetitive processes and in this paper the interest
	is in strong practical stability.},
  file = {DabGal13.pdf:DabGal13.pdf:PDF},
  keywords = {2D systems control, stabilisation, disturbance attenuation},
  owner = {carsten},
  timestamp = {2015.02.22}
}

@INCOLLECTION{DuXie02,
  author = {Chungling Du AND Lihua Xie},
  editor = {F. Allg\"ower and M. Morari},
  title = {${H}_\infty$ {C}ontrol and {F}iltering of {T}wo-{D}imensional {S}ystemss},
  booktitle = lcis,
  year = {2002},
  volume = {278},
  publisher = {Springer-Verlag},
  owner = {carsten},
  timestamp = {2015.02.22}
}

@ARTICLE{EmePak14,
  author = {J.P. Emelinova and P Pakshin and K. Galkowski and E Rogers},
  title = {{S}tability of 2{D} nonlinear systems described by continuous {R}oesser
	model},
  journal = {Automation and Remote Control},
  year = {2014},
  volume = {75},
  number = {5},
  pages = {845--858},
  url = {http://eprints.soton.ac.uk/362679/},
  file = {EmePak14.pdf:EmePak14.pdf:PDF},
  owner = {carsten},
  timestamp = {2015.02.22}
}

@Article{Fer86,
  author    = {K.V. Fernando},
  journal   = {Systems \& Control Letters},
  title     = {{C}onditions for internal stability of 2{D} systems},
  year      = {1986},
  issn      = {0167-6911},
  number    = {3},
  pages     = {183 - 187},
  volume    = {7},
  abstract  = {The numerical range (the field value) of a matrix is generalised for
	two matrices and via this extension new stability conditions for
	2D systems are derived.},
  doi       = {http://dx.doi.org/10.1016/0167-6911(86)90112-X},
  file      = {Fer86.pdf:Fer86.pdf:PDF},
  keywords  = {2D systems},
  owner     = {carsten},
  timestamp = {2015.02.22},
  url       = {http://www.sciencedirect.com/science/article/pii/016769118690112X},
}

@INPROCEEDINGS{GalDab14,
  author = {K. Galkowski and P Dabkowski and E Rogers},
  title = {${H}_\infty$ based {D}isturbance {A}ttenuation for {I}terative {L}earning
	{C}ontrol},
  booktitle = {American Control Conference},
  year = {2014},
  pages = {4243--4248},
  url = {http://eprints.soton.ac.uk/362645/},
  owner = {carsten},
  timestamp = {2015.02.22}
}

@ARTICLE{GalRog02,
  author = {K. Galkowski and E. Rogers and S. Xu and J. Lam and D. H. Owens},
  title = {{LMI}s - {A} {F}undamental {T}ool in {A}nalysis and {C}ontroller
	{D}esign for {D}iscrete {L}inear {R}epetitive {P}rocesses},
  journal = csI,
  year = {2002},
  volume = {49},
  number = {6},
  pages = {768-778},
  file = {GalRog02.pdf:GalRog02.pdf:PDF},
  owner = {carsten},
  timestamp = {2015.02.22}
}

@OTHER{mtns,
  file = {:http\://fwn06.housing.rug.nl/mtns/?page_id=38:URL},
  owner = {carsten},
  timestamp = {2015.02.22},
  title = {{MTNS} proceedings},
  url = {http://fwn06.housing.rug.nl/mtns/?page_id=38}
}

@INPROCEEDINGS{PasRog14,
  author = {W Paszke and E Rogers and K. Galkowski},
  title = {{D}esign of iterative learning control algorithms by generalized
	{KYP} synthesis},
  booktitle = {American Control Conference},
  year = {2014},
  pages = {4261--4266},
  url = {http://eprints.soton.ac.uk/362640/},
  owner = {carsten},
  timestamp = {2015.02.22}
}

@INCOLLECTION{RogGal07,
  author = {Eric Rogers AND Krzysztof Galkowski AND David H. Owens},
  editor = {M. Thoma and M. Morari},
  title = {{C}ontrol {S}ystems {T}heory and {A}pplications for {L}inear {R}epetitive
	{P}rocesses},
  booktitle = lcis,
  year = {2007},
  volume = {349},
  publisher = {Springer-Verlag},
  file = {RogGal07.pdf:RogGal07.pdf:PDF},
  owner = {carsten},
  timestamp = {2015.02.22}
}

@InProceedings{AlaCep05,
  author    = {Alamo, T. and Cepeda, A. and Limon, D.},
  title     = {{I}mproved computation of ellipsoidal invariant sets for saturated control systems},
  booktitle = CDC05,
  year      = {2005},
  pages     = {6216-6221},
  doi       = {10.1109/CDC.2005.1583157},
  groups    = {used, Fetzer},
  keywords  = {Constrained nonlinear systems;domain of attraction;invariant sets;saturation;stability;Asymptotic stability;Computational complexity;Contracts;Control engineering;Control systems;Ellipsoids;Linear matrix inequalities;Linear systems;Nonlinear systems;Sufficient conditions;Constrained nonlinear systems;domain of attraction;invariant sets;saturation;stability},
  owner     = {mst},
  timestamp = {2015.02.25},
}

@Article{DaiHu09,
  author    = {D. Dai and T. Hu and A. R. Teel and L. Zaccarian},
  title     = {{P}iecewise-quadratic {L}yapunov functions for systems with deadzones or saturations},
  journal   = {Syst. Control Lett.},
  year      = {2009},
  volume    = {58},
  number    = {5},
  pages     = {365 - 371},
  issn      = {0167-6911},
  doi       = {http://dx.doi.org/10.1016/j.sysconle.2009.01.003},
  file      = {DaiHuTeeZac09.pdf:..\\03_papers\\DaiHuTeeZac09.pdf:PDF},
  groups    = {used, Fetzer},
  keywords  = {Piecewise quadratic Lyapunov function},
  owner     = {mst},
  timestamp = {2015.02.25},
  url       = {http://www.sciencedirect.com/science/article/pii/S0167691109000164},
}

@Book{HuLin01,
  title     = {{C}ontrol systems with actuator saturation: analysis and design},
  publisher = {Springer Science \& Business Media},
  year      = {2001},
  author    = {Hu, T. and Lin, Z.},
  groups    = {used, Fetzer},
  owner     = {mst},
  timestamp = {2015.02.25},
}

@InProceedings{HuLin01a,
  author    = {Hu, T. and Lin, Z.},
  title     = {{E}xact {C}haracterization of {I}nvariant {E}llipsoids for {L}inear {S}ystems with {S}atuarting {A}ctuators},
  booktitle = CDC01,
  year      = {2001},
  volume    = {5},
  pages     = {4669--4674},
  groups    = {used, Fetzer},
  owner     = {mst},
  timestamp = {2015.02.25},
}

@InProceedings{TurKer10,
  author    = {Turner, M. C. and Kerr, M. and Postlethwaite, I. and Sofrony, J.},
  title     = {{$L_2$} gain bounds for systems with slope-restricted nonlinearities},
  booktitle = acc,
  year      = {2010},
  doi       = {10.1109/ACC.2010.5531339},
  file      = {TurKerPosSof10.pdf:..\\03_papers\\TurKerPosSof10.pdf:PDF},
  groups    = {used, Fetzer},
  issn      = {0743-1619},
  keywords  = {linear matrix inequalities;nonlinear systems;time-varying systems;?2 gain bounds;IQC framework;LMI;linear matrix inequalities;linear time invariant part;slope-restricted nonlinearities;static nonlinear part;Control nonlinearities;Control systems;Control theory;Feedback loop;Linear matrix inequalities;Nonlinear control systems;Proposals;Stability analysis;Stability criteria;Transfer functions},
  owner     = {mst},
  timestamp = {2015.02.26},
}

@INPROCEEDINGS{RogLam01,
  author = {Rogers, E. and Lam, J. and Galkowski, K. and Xu, S. and Wood, J.
	and Owens, D.H},
  title = {{LMI} based stability analysis and controller design for a class
	of 2{D} discrete linear systems},
  booktitle = {Decision and Control, 2001. Proceedings of the 40th IEEE Conference
	on},
  year = {2001},
  volume = {5},
  pages = {4457-4462 vol.5},
  doi = {10.1109/.2001.980904},
  file = {RogLam01.pdf:RogLam01.pdf:PDF},
  keywords = {closed loop systems;control system analysis;control system synthesis;discrete
	systems;linear systems;matrix algebra;multidimensional systems;poles
	and zeros;robust control;stability;state-space methods;2D discrete
	linear systems;LMI based controller design;LMI based stability analysis;closed
	loop processes;discrete linear repetitive processes;iterative learning
	control schemes;long-wall coal cutting;open loop processes;stability
	margins;Control systems;Ear;Linear systems;Open loop systems;Optimal
	control;Performance analysis;Robust control;Robust stability;Stability
	analysis;System testing},
  owner = {carsten},
  timestamp = {2015.02.27}
}

@INPROCEEDINGS{BacPas13,
  author = {Bachelier, Olivier and Paszke, Wojciech and Yeganefar, Nima and Mehdi,
	Driss},
  title = {{S}tability of 2{D} {R}oesser models: {T}owards a necessary and sufficient
	{LMI} condition},
  booktitle = {Proceedings of the 8th International Workshop on Multidimensional
	Systems (nDS)},
  year = {2013},
  month = {Sept},
  pages = {99-104},
  file = {BacPas13.pdf:BacPas13.pdf:PDF},
  owner = {carsten},
  timestamp = {2015.03.11}
}

@ARTICLE{BouDoo13,
  author = {Bouagada, Djillali and Dooren, Paul Van},
  title = {{O}n the stability of 2{D} state-space models},
  journal = {Numerical Linear Algebra with Applications},
  year = {2013},
  volume = {20},
  number = {2},
  pages = {198--207},
  issn = {1099-1506},
  doi = {10.1002/nla.836},
  url = {http://dx.doi.org/10.1002/nla.836},
  file = {BouDoo13.pdf:BouDoo13.pdf:PDF},
  keywords = {2D systems, stability, LMIs, positive polynomials},
  owner = {carsten},
  timestamp = {2015.03.11}
}

@ARTICLE{EbiIto06,
  author = {Ebihara, Y. and Ito, Y. and Hagiwara, T.},
  title = {{E}xact {S}tability {A}nalysis of 2-{D} {S}ystems {U}sing {LMI}s},
  journal = {Automatic Control, IEEE Transactions on},
  year = {2006},
  volume = {51},
  number = {9},
  month = {Sept},
  pages = {1509-1513},
  issn = {0018-9286},
  doi = {10.1109/TAC.2006.880789},
  file = {EbiIto06.pdf:EbiIto06.pdf:PDF},
  keywords = {asymptotic stability;control system analysis;linear matrix inequalities;multidimensional
	systems;2D systems;LMI;Schur stable complex matrices;asymptotic stability
	analysis;linear matrix inequalities;nonsingularity analysis;parameter
	dependent complex matrices;Asymptotic stability;Eigenvalues and eigenfunctions;Error
	correction;Error correction codes;Linear matrix inequalities;Matrices;Notice
	of Violation;Riccati equations;Stability analysis;Two dimensional
	displays;Linear matrix inequalities (LMIs);stability analysis;two-dimensional
	(2-D) systems},
  owner = {carsten},
  timestamp = {2015.03.11}
}

@Article{GriHat03,
  author    = {Grimm, G. and Hatfield, J. and Postlethwaite, I. and Teel, A.R. and Turner, M.C. and Zaccarian, L.},
  title     = {{A}ntiwindup for stable linear systems with input saturation: an {LMI}-based synthesis},
  journal   = {IEEE T. Automat. Contr.},
  year      = {2003},
  volume    = {48},
  number    = {9},
  pages     = {1509-1525},
  month     = {Sept},
  issn      = {0018-9286},
  doi       = {10.1109/TAC.2003.816965},
  file      = {GriHatPosTeeTurZac03.pdf:..\\03_papers\\GriHatPosTeeTurZac03.pdf:PDF},
  groups    = {used, Fetzer},
  keywords  = {control system synthesis;cost optimal control;linear matrix inequalities;linear systems;Lyapunov function;antiwindup synthesis;closed-loop;cost optimal control;linear control systems;linear matrix inequalities;linear parameter varying;quadratic stability;Automatic control;Buildings;Control system synthesis;Control systems;Linear feedback control systems;Linear matrix inequalities;Linear systems;Nonlinear filters;Optimal control;Stability},
  owner     = {mst},
  timestamp = {2015.03.11},
}

@ARTICLE{YegYeg13,
  author = {Yeganefar, N. and Yeganefar, N. and Ghamgui, M. and Moulay, E.},
  title = {{L}yapunov {T}heory for 2-{D} {N}onlinear {R}oesser {M}odels: {A}pplication
	to {A}symptotic and {E}xponential {S}tability},
  journal = {Automatic Control, IEEE Transactions on},
  year = {2013},
  volume = {58},
  number = {5},
  month = {May},
  pages = {1299-1304},
  issn = {0018-9286},
  doi = {10.1109/TAC.2012.2220012},
  file = {YegYeg13.pdf:YegYeg13.pdf:PDF},
  keywords = {Asymptotic stability;Control theory;Linear systems;Stability criteria;Trajectory;
	$n{rm D}$ systems;Converse Lyapunov theorem;Lyapunov functions;nonlinear
	discrete systems},
  owner = {carsten},
  timestamp = {2015.03.12}
}

@ARTICLE{ForMar80,
  author = {Fornasini, E. and Marchesini, G.},
  title = {{S}tability analysis of 2-{D} systems},
  journal = {Circuits and Systems, IEEE Transactions on},
  year = {1980},
  volume = {27},
  number = {12},
  month = {Dec},
  pages = {1210-1217},
  issn = {0098-4094},
  doi = {10.1109/TCS.1980.1084769},
  file = {ForMar80.pdf:ForMar80.pdf:PDF},
  keywords = {Digital filter stability;General circuits and systems;Lyapunov stability;Multidimensional
	(n-D) system;Circulators;Equations;Filters;Laboratories;Microwave
	devices;Physics;Quantum mechanics;Solid state circuits;Stability
	analysis;Stability criteria},
  owner = {carsten},
  timestamp = {2015.03.13}
}

@Article{FalFre69,
  author    = {P. L. Falb and M. I. Freedman},
  journal   = {SIAM Journal on Control},
  title     = {{A} {G}eneralized {T}ransform {T}heory for {C}ausal {O}perators},
  year      = {1969},
  number    = {3},
  pages     = {452-471},
  volume    = {7},
  doi       = {10.1137/0307033},
  eprint    = {http://dx.doi.org/10.1137/0307033},
  file      = {FalFre69.pdf:FalFre69.pdf:PDF},
  owner     = {carsten},
  timestamp = {2015.03.23},
  url       = {http://dx.doi.org/10.1137/0307033},
}

@Article{FreFal69,
  author    = {M. I. Freedman and P. L. Falb and G. Zames},
  journal   = {SIAM Journal on Control},
  title     = {{A} {H}ilbert {S}pace {S}tability {T}heory over {L}ocally {C}ompact {A}belian {G}roups},
  year      = {1969},
  number    = {3},
  pages     = {479-495},
  volume    = {7},
  doi       = {10.1137/0307035},
  eprint    = {http://dx.doi.org/10.1137/0307035},
  file      = {FreFal69.pdf:FreFal69.pdf:PDF},
  owner     = {carsten},
  timestamp = {2015.03.23},
  url       = {http://dx.doi.org/10.1137/0307035},
}

@ARTICLE{CheMid14,
  author = {Chesi, G. and Middleton, R. H.59(4), 996-1007},
  title = {{N}ecessary and sufficient {LMI} conditions for stability and performance
	analysis of 2{D} mixed continuous-discrete-time systems},
  journal = tac,
  year = {2014},
  volume = {59},
  number = {4},
  pages = {996-1007},
  owner = {carsten},
  timestamp = {2015.03.29}
}

@ARTICLE{CheMid15,
  author = {Chesi, G. and Middleton, R.H.},
  title = {${H}_\infty$- and ${H}_2$-norms of 2{D} mixed continuous-discrete-time
	systems via rationally-dependent complex {L}yapunov functions},
  journal = tac,
  year = {2015},
  pages = {to appear},
  file = {CheMid15.pdf:CheMid15.pdf:PDF},
  owner = {carsten},
  timestamp = {2015.03.29}
}

@INPROCEEDINGS{PasRog12,
  author = {Paszke, W. and Rogers, E. and Rapisarda, P. and Galkowski, K. and
	Kummert, A.},
  title = {{N}ew frequency domain based stability tests for 2{D} linear systems},
  booktitle = {Methods and Models in Automation and Robotics (MMAR), 2012 17th International
	Conference on},
  year = {2012},
  month = {Aug},
  pages = {9-14},
  doi = {10.1109/MMAR.2012.6347922},
  file = {PasRog12.pdf:PasRog12.pdf:PDF},
  keywords = {absolute stability;control system synthesis;convex programming;frequency-domain
	analysis;linear matrix inequalities;linear systems;state-space methods;2D
	linear systems;Fornasini-Marchesini state-space model;Kalman-Yakubovich-Popov
	lemma;Roesser state-space model;asymptotic stability conditions;computational
	load;control law design stabilization;convex optimization problem;frequency
	domain-based stability tests;linear matrix inequality constraints;two-dimensional
	linear systems;Asymptotic stability;Linear systems;Numerical stability;Polynomials;Stability
	analysis;State-space methods;Vectors},
  owner = {carsten},
  timestamp = {2015.04.07}
}

@INPROCEEDINGS{GhaYeg11,
  author = {Ghamgui, M. and Yeganefar, N. and Bachelier, O. and Mehdi, D.},
  title = {{E}xponential stability conditions for 2{D} continuous state-delayed
	systems},
  booktitle = {Multidimensional (nD) Systems (nDs), 2011 7th International Workshop
	on},
  year = {2011},
  month = {Sept},
  pages = {1-5},
  doi = {10.1109/nDS.2011.6076866},
  file = {GhaYeg11.pdf:GhaYeg11.pdf:PDF},
  keywords = {Lyapunov methods;asymptotic stability;continuous systems;delays;linear
	matrix inequalities;linear systems;multidimensional systems;2D continuous
	state-delayed systems;2D linear delayed systems;LMI type;Lyapunov
	approach;continuous Roesser models;exponential stability conditions;multidimensional
	systems;Asymptotic stability;Circuit stability;Delay;Linear systems;Multidimensional
	systems;Stability criteria},
  owner = {carsten},
  timestamp = {2015.05.24}
}

@INPROCEEDINGS{AgaJur91,
  author = {Agathoklis, P. and Jury, E.I. and Mansour, M.},
  title = {{A}lgebraic necessary and sufficient conditions for the stability
	of 2-{D} discrete systems},
  booktitle = {Circuits and Systems, 1991., IEEE International Sympoisum on},
  year = {1991},
  month = {Jun},
  pages = {610-613 vol.1},
  doi = {10.1109/ISCAS.1991.176408},
  file = {AgaJur91.pdf:AgaJur91.pdf:PDF},
  keywords = {Lyapunov methods;discrete systems;multidimensional systems;stability;2D
	discrete systems;Kronecker products;Lyapunov equation;constant matrices;eigenvalues;frequency-dependent
	formulation;internal stability;positivity;stability;Automatic control;Eigenvalues
	and eigenfunctions;Equations;Frequency dependence;Industrial electronics;Polynomials;Stability
	analysis;Sufficient conditions;System testing},
  owner = {carsten},
  timestamp = {2015.05.25}
}

@ARTICLE{AndAga86,
  author = {Anderson, B.D.O. and Agathoklis, P. and Jury, E.I. and Mansour, M.},
  title = {{S}tability and the matrix {L}yapunov equation for discrete 2-dimensional
	systems},
  journal = {Circuits and Systems, IEEE Transactions on},
  year = {1986},
  volume = {33},
  number = {3},
  month = {Mar},
  pages = {261-267},
  issn = {0098-4094},
  doi = {10.1109/TCS.1986.1085912},
  file = {AndAga86.pdf:AndAga86.pdf:PDF},
  keywords = {Discrete-time systems;General circuits and systems;Lyapunov matrix
	equations;Lyapunov methods, linear systems;Multidimensional (n-D)
	system;Automatic control;Continuous time systems;Equations;Helium;Industrial
	electronics;Polynomials;Stability;Sufficient conditions;Systems engineering
	and theory;Two dimensional displays},
  owner = {carsten},
  timestamp = {2015.05.25}
}

@Article{AveRap11,
  author    = {D. Napp Avelli and P. Rapisarda and P. Rocha},
  journal   = {International Journal of Control},
  title     = {{L}yapunov stability of 2{D} finite-dimensional behaviours},
  year      = {2011},
  number    = {4},
  pages     = {737-745},
  volume    = {84},
  doi       = {10.1080/00207179.2011.575800},
  eprint    = {http://dx.doi.org/10.1080/00207179.2011.575800},
  file      = {AveRap11.pdf:AveRap11.pdf:PDF},
  owner     = {carsten},
  timestamp = {2015.05.25},
  url       = {http://dx.doi.org/10.1080/00207179.2011.575800},
}

@ARTICLE{Bis95,
  author = {Bisiacco, Mauro},
  title = {{N}ew results in 2{D} optimal control theory},
  journal = {Multidimensional Systems and Signal Processing},
  year = {1995},
  volume = {6},
  number = {3},
  pages = {189-222},
  issn = {0923-6082},
  doi = {10.1007/BF00981083},
  url = {http://dx.doi.org/10.1007/BF00981083},
  language = {English},
  file = {Bis95.pdf:Bis95.pdf:PDF},
  keywords = {2D systems; optimal control; ?��?��2-stabilizability; norm minimization
	in Hilbert spaces; ?����-dependent Riccati equation; 2D stabilizability;
	2D detectability},
  owner = {carsten},
  publisher = {Kluwer Academic Publishers},
  timestamp = {2015.05.25}
}

@Article{BisFor90,
  author    = {Mauro Bisiacco and Ettore Fornasini},
  journal   = {SIAM Journal on Control and Optimization},
  title     = {{O}ptimal {C}ontrol of {T}wo-{D}imensional {S}ystems},
  year      = {1990},
  number    = {3},
  pages     = {582-601},
  volume    = {28},
  doi       = {10.1137/0328035},
  eprint    = {http://dx.doi.org/10.1137/0328035},
  file      = {BisFor90.pdf:BisFor90.pdf:PDF},
  owner     = {carsten},
  timestamp = {2015.05.25},
  url       = {http://dx.doi.org/10.1137/0328035},
}

@Article{DuXie01,
  author    = {Chunling Du and Lihua Xie and Cishen Zhang},
  journal   = {Automatica},
  title     = {${H}_\infty$ control and robust stabilization of two-dimensional systems in {R}oesser models},
  year      = {2001},
  issn      = {0005-1098},
  number    = {2},
  pages     = {205 - 211},
  volume    = {37},
  abstract  = {Feedback control of two-dimensional (2-D) systems is a problem of
	considerable importance in both theory and practical applications.
	In this paper, we present a state-space solution to the problem of
	H?��??�� control of 2-D systems. For a linear discrete time 2-D system
	described by a 2-D state-space Roesser model, a 2-D dynamic output
	feedback controller is designed to achieve the closed-loop system
	asymptotic stability and a specified H?��??�� performance using a
	linear matrix inequality (LMI) approach. We further give a solution
	for robust stabilization of 2-D systems subject to a class of norm
	bounded uncertainties. The results are demonstrated by an application
	example of stabilization of processes expressed in a Darboux equation.},
  doi       = {http://dx.doi.org/10.1016/S0005-1098(00)00155-2},
  file      = {DuXie01.pdf:DuXie01.pdf:PDF},
  keywords  = {2-D discrete systems},
  owner     = {carsten},
  timestamp = {2015.05.25},
  url       = {http://www.sciencedirect.com/science/article/pii/S0005109800001552},
}

@Article{NapRap11,
  author    = {Diego Napp and Paolo Rapisarda and Paula Rocha},
  journal   = {Automatica},
  title     = {{T}ime-relevant stability of 2{D} systems},
  year      = {2011},
  issn      = {0005-1098},
  number    = {11},
  pages     = {2373 - 2382},
  volume    = {47},
  abstract  = {For many 2D systems, one of the independent variables plays a distinct
	role in the evolution of the trajectories; since often this special
	independent variable is time, we call such systems ?��??time-relevant?��??��.
	In this paper, we introduce a stability notion for time-relevant
	systems described by higher-order difference equations. We give algebraic
	tests in terms of the location of the zeros of the determinant of
	a polynomial matrix describing the system. We also give an \{LMI\}
	characterization of time-relevant stability involving only constant
	matrices.},
  doi       = {http://dx.doi.org/10.1016/j.automatica.2011.08.041},
  file      = {NapRap11.pdf:NapRap11.pdf:PDF},
  keywords  = {2-D systems},
  owner     = {carsten},
  timestamp = {2015.05.25},
  url       = {http://www.sciencedirect.com/science/article/pii/S0005109811004146},
}

@ARTICLE{NapRap12,
  author = {D. Napp and P. Rapisarda and P. Rocha},
  title = {{C}orrigendum to: {T}ime-relevant stability of 2{D} systems [{A}utomatica
	47 (11) (2011) 2373-2382]},
  journal = {Automatica},
  year = {2012},
  volume = {48},
  number = {10},
  pages = {2737},
  issn = {0005-1098},
  doi = {http://dx.doi.org/10.1016/j.automatica.2012.06.101},
  url = {http://www.sciencedirect.com/science/article/pii/S0005109812003718},
  file = {NapRap12.pdf:NapRap12.pdf:PDF},
  owner = {carsten},
  timestamp = {2015.05.25}
}

@ARTICLE{ObeSch14,
  author = {Oberst, Ulrich and Scheicher, Martin},
  title = {{T}he asymptotic stability of stable and time-autonomous discrete
	multidimensional behaviors},
  journal = {Mathematics of Control, Signals, and Systems},
  year = {2014},
  volume = {26},
  number = {2},
  pages = {215-258},
  issn = {0932-4194},
  doi = {10.1007/s00498-013-0114-6},
  url = {http://dx.doi.org/10.1007/s00498-013-0114-6},
  language = {English},
  file = {ObeSch14.pdf:ObeSch14.pdf:PDF},
  keywords = {Discrete multidimensional behavior; Time autonomous; Asymptotic stability;
	Characteristic variety; Fourier transform},
  owner = {carsten},
  publisher = {Springer London},
  timestamp = {2015.05.25}
}

@ARTICLE{PasGal06,
  author = {Paszke, W. and Galkowski, K. and Rogers, E. and Owens, D.H.},
  title = {${H}_\infty$ control of differential linear repetitive processes},
  journal = {Circuits and Systems II: Express Briefs, IEEE Transactions on},
  year = {2006},
  volume = {53},
  number = {1},
  month = {Jan},
  pages = {39-44},
  issn = {1549-7747},
  doi = {10.1109/TCSII.2005.854313},
  file = {PasGal06.pdf:PasGal06.pdf:PDF},
  keywords = {Hinfin control;linear matrix inequalities;2D systems theory;Hinfin
	control;differential linear repetitive processes;information propagation;linear
	matrix inequalities;Automatic control;Boundary conditions;Computer
	science;Control engineering computing;Linear matrix inequalities;Robustness;Stability;Symmetric
	matrices;Systems engineering and theory;Vectors;Differential repetitive
	processes;linear matrix inequalities},
  owner = {carsten},
  timestamp = {2015.05.25}
}

@INPROCEEDINGS{Wil07,
  author = {Willems, J.C.},
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  booktitle = {Multidimensional (nD) Systems, 2007 International Workshop on},
  year = {2007},
  month = {June},
  pages = {41-45},
  doi = {10.1109/NDS.2007.4509541},
  file = {Wil07.pdf:Wil07.pdf:PDF},
  keywords = {Lyapunov methods;asymptotic stability;linear matrix inequalities;multivariable
	systems;LMI;asymptotic stability;independent variables;linear constant
	coefficient;multivariable systems;quadratic Lyapunov functions;scalar
	equations;Controllability;Functional analysis;Lyapunov method;Mathematics;Observability;Partial
	differential equations;Polynomials;Stability;Symmetric matrices;LMI��s;Lyapunov
	functions;PDE��s;nD systems;quadratic differential forms;stability},
  owner = {carsten},
  timestamp = {2015.05.25}
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@ARTICLE{YanZha07a,
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  title = {{L}inear quadratic {G}aussian control of 2-dimensional systems},
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  year = {2007},
  volume = {18},
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  issn = {0923-6082},
  doi = {10.1007/s11045-006-0016-6},
  url = {http://dx.doi.org/10.1007/s11045-006-0016-6},
  language = {English},
  file = {YanZha07a.pdf:YanZha07a.pdf:PDF},
  keywords = {Two-Dimensional Systems; Linear quadratic Gaussian (LQG) control;
	Fornasini-Marchesini model},
  owner = {carsten},
  publisher = {Springer US},
  timestamp = {2015.05.25}
}

@INPROCEEDINGS{YegYeg13a,
  author = {Yeganefar, Nima and Yeganefar, Nader and Bachelier, Olivier and Moulay,
	Emmanuel},
  title = {{E}xponential stability for 2{D} systems: the linear case},
  booktitle = {Multidimensional Systems (nDS), 2013. Proceedings of the 8th International
	Workshop on},
  year = {2013},
  month = {Sept},
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  timestamp = {2015.05.27}
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@Article{CarHea12,
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  journal   = {IEEE T. Automat. Contr.},
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  issn      = {0018-9286},
  doi       = {10.1109/TAC.2011.2179848},
  file      = {CarHeaLiLan12.pdf:..\\03_papers\\CarHeaLiLan12.pdf:PDF},
  groups    = {used, Fetzer},
  keywords  = {control nonlinearities;convex programming;relaxation theory;search problems;stability criteria;Zames-Falb multiplier class;absolute stability criteria;conservativeness;convex search;nontrivial numerical errors;relaxation theory;slope-restricted nonlinear systems;stable-causal multipliers;Educational institutions;Gold;Linear systems;Numerical stability;Optimization;Pathology;Transfer functions;Integral quadratic constraints (IQC);Zames?Falb multiplier;linear matrix inequalities (LMIs)},
  owner     = {mst},
  timestamp = {2015.07.14},
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@Article{HadKap95,
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  groups    = {used, Fetzer},
  keywords  = {Popov criterion;absolute stability;control nonlinearities;feedback;absolute stability criteria;classical Popov criterion;modified Popov plane;multiple slope-restricted monotonic nonlinearities;sector-bounded nonlinearities;single-input/single-output;Aerospace engineering;Feedback;Frequency domain analysis;Linear systems;Lyapunov method;Nonlinear dynamical systems;Robust stability;Stability criteria;Sufficient conditions;Testing},
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@Article{CarHea14,
  author    = {J. Carrasco and W. P. Heath and A. Lanzon},
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  journal   = scl,
  year      = {2014},
  volume    = {66},
  pages     = {65 - 71},
  issn      = {0167-6911},
  doi       = {http://dx.doi.org/10.1016/j.sysconle.2014.01.003},
  file      = {CarHeaLan14.pdf:..\\03_papers\\CarHeaLan14.pdf:PDF},
  groups    = {used, Fetzer},
  keywords  = {Bounded and monotone nonlinearities},
  owner     = {mst},
  timestamp = {2015.07.30},
  url       = {http://www.sciencedirect.com/science/article/pii/S0167691114000231},
}

@InProceedings{CarMay12,
  author    = {Carrasco, J. and Maya-Gonzalez, M. and Lanzon, A. and Heath, W. P.},
  title     = {{LMI} search for rational anticausal {Z}ames-{F}alb multipliers},
  booktitle = CDC12,
  year      = {2012},
  pages     = {7770-7775},
  doi       = {10.1109/CDC.2012.6426868},
  file      = {CarMayLanHea12.pdf:..\\03_papers\\CarMayLanHea12.pdf:PDF},
  groups    = {used, Fetzer},
  issn      = {0743-1546},
  keywords  = {causality;linear matrix inequalities;LMI search;anticausal multipliers;causality;conservatism;linear matrix inequality search;linear time invariant plant;rational anticausal Zames-Falb multipliers;Convergence;Gold;Laplace equations;Stability analysis;Symmetric matrices;Time domain analysis;Transfer functions},
  owner     = {mst},
  timestamp = {2015.07.30},
}

@Article{CarMay14,
  author    = {J. Carrasco and M. Maya-Gonzalez and A. Lanzon and W. P. Heath},
  title     = {{LMI} searches for anticausal and noncausal rational {Z}ames-{F}alb multipliers},
  journal   = {Systems \& Control Letters},
  year      = {2014},
  volume    = {70},
  pages     = {17 - 22},
  issn      = {0167-6911},
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  file      = {CarMayLanHea14.pdf:..\\03_papers\\CarMayLanHea14.pdf:PDF},
  groups    = {used, Fetzer},
  keywords  = {Slope-restricted nonlinearities},
  owner     = {mst},
  timestamp = {2015.07.30},
  url       = {http://www.sciencedirect.com/science/article/pii/S0167691114001078},
}

@InProceedings{TurKer09a,
  author    = {Turner, M. C. and Kerr, M. L. and Postlethwaite, I.},
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  booktitle = {ICCAS-SICE},
  year      = {2009},
  pages     = {1052-1057},
  groups    = {used, Fetzer},
  keywords  = {MIMO systems;absolute stability;closed loop systems;continuous time systems;control nonlinearities;linear matrix inequalities;linear systems;nonlinear control systems;Circle criteria;LMI;LTI;MIMO system;Popov criteria;Zames-Falb multiplier;absolute stability problem;closed-loop system;linear-time-invariant system;multiple-input-multiple-output system;repeated slope-restricted nonlinearity;single-input-single-output system;static nonlinear element;Algorithm design and analysis;Feedback;Linear matrix inequalities;Lyapunov method;MIMO;Stability analysis;Stability criteria;Transfer functions;Veins;Absolute stability;IQCs;LMIs},
  owner     = {mst},
  timestamp = {2015.07.30},
}

@Article{TurKer12a,
  author    = {Turner, M. C. and Kerr, M. and Postlethwaite, I.},
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  journal   = tac,
  year      = {2012},
  volume    = {57},
  number    = {9},
  pages     = {2428-2430},
  issn      = {0018-9286},
  doi       = {10.1109/TAC.2011.2180809},
  file      = {TurKerPos12.pdf:..\\03_papers\\TurKerPos12.pdf:PDF},
  groups    = {used, Fetzer},
  keywords  = {Popov criterion;nonlinear control systems;Popov multiplier;Zames-Falb multiplier;causal multiplier;slope-restricted nonlinearities;Asymptotic stability;Copper;Electronic mail;Gold;Numerical stability;Stability criteria;Linear matrix inequalities;nonlinear control systems},
  owner     = {mst},
  timestamp = {2015.08.13},
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@InProceedings{TurSof13,
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  title     = {{H}igh-order {Z}ames-{F}alb multiplier analysis using linear matrix inequalities},
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  file      = {TurSof13.pdf:..\\03_papers\\TurSof13.pdf:PDF},
  groups    = {used, Fetzer},
  keywords  = {linear matrix inequalities;stability;congruence transformation;high-order Zames-Falb multiplier analysis;high-order multipliers;linear matrix inequalities;linear-matrix-inequality framework;slope-restricted nonlinearities;stability analysis;DH-HEMTs;Equations;Linear matrix inequalities;Numerical stability;Stability criteria;Transfer functions},
  owner     = {mst},
  timestamp = {2015.08.13},
}

@Article{CarHea13,
  author    = {J. Carrasco and W. P. Heath and A. Lanzon},
  title     = {{E}quivalence between classes of multipliers for slope-restricted nonlinearities},
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  year      = {2013},
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  issn      = {0005-1098},
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  groups    = {used, Fetzer},
  keywords  = {Slope-restricted nonlinearities},
  owner     = {mst},
  timestamp = {2015.08.14},
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  keywords  = {absolute stability, slope-restricted nonlinearity, sector bounds, integral quadratic constraints, anti-windup},
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  timestamp = {2015.08.18},
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@TechReport{HuTee06a,
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  year        = {2006},
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  groups      = {used, Fetzer},
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  timestamp   = {2015.12.23},
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  owner     = {mst},
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@Book{Alt12,
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@InProceedings{FetSch17,
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  booktitle = {20th IFAC World Congress},
  title     = {{A}bsolute stability analysis of discrete time feedback interconnections},
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  note      = {(accepted)},
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@Article{Sei15,
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  file      = {:Sei15.pdf:PDF},
  groups    = {used, Fetzer, SchVee18},
  keywords  = {feedback;frequency-domain analysis;invariance;linear systems;perturbation techniques;stability;time-domain analysis;IQC stability theorems;dissipation inequalities;dissipation inequality test;feedback connection stability;frequency domain IQC multipliers;frequency domain dissipation inequality;input/output behavior;integral quadratic constraints;linear system;perturbation;stability analysis;time-domain IQC;time-domain dissipation inequality;time-invariant system;Equations;Frequency-domain analysis;Integral equations;Linear matrix inequalities;Robustness;Stability analysis;Time-domain analysis;Integral quadratic constraint (IQC);linear time-invariant (LTI)},
  owner     = {mst},
  timestamp = {2016.05.09},
}

@InProceedings{TopPac09,
  author    = {Topcu, U. and Packard, A.},
  title     = {{L}ocal robust performance analysis for nonlinear dynamical systems},
  booktitle = acc,
  year      = {2009},
  pages     = {784-789},
  file      = {:TopPac09.pdf:PDF},
  groups    = {used, Fetzer},
  owner     = {mst},
  timestamp = {2016.05.09},
}

@InProceedings{VeeSch13a,
  author    = {J. Veenman and C. W. Scherer},
  booktitle = cdc13,
  title     = {{S}tability analysis with integral quadratic constraints: {A} dissipativity based proof},
  year      = {2013},
  pages     = {3770-3775},
  doi       = {10.1109/CDC.2013.6760464},
  file      = {:VeeSch13a.pdf:PDF},
  groups    = {used, Fetzer, SchEbe20},
  issn      = {0191-2216},
  keywords  = {Lyapunov methods;control system analysis;stability;time-frequency analysis;uncertain systems;IQC theorem;IQC-multipliers;Lyapunov-theory;dissipation inequality;dissipativity based proof;dynamic supply functions;frequency-domain techniques;integral quadratic constraints;nonnegative Lyapunov function;stability analysis;time-domain conditions;Frequency-domain analysis;Lyapunov methods;Robust stability;Robustness;Stability analysis;Trajectory;Uncertainty},
  owner     = {mst},
  timestamp = {2016.05.09},
}

@InProceedings{GohSaf95a,
  author    = {K.-C. Goh and M. G. Safonov},
  title     = {{R}obust analysis, sectors, and quadratic functionals},
  booktitle = cdc95,
  year      = {1995},
  volume    = {2},
  pages     = {1988-1993},
  doi       = {10.1109/CDC.1995.480638},
  file      = {GohSaf95.pdf:..\\03_papers\\GohSaf95.pdf:PDF},
  groups    = {used, Fetzer},
  issn      = {0191-2216},
  keywords  = {matrix algebra;robust control;topology;free multiplier;frequency-dependent matrix;generalized sector transform;integral quadratic constraints;invertible matrix;positivity/linear matrix inequality framework;quadratic functionals;robust analysis;robustness analysis;sectors;topological separation framework;Constraint theory;Frequency dependence;Large-scale systems;Linear matrix inequalities;Robust stability;Robustness;Signal analysis;Stability analysis;Stability criteria;Uncertainty},
  owner     = {mst},
  timestamp = {2016.05.12},
}

@Article{FetSch17c,
  author    = {M. Fetzer and C. W. Scherer and J. Veenman},
  journal   = {IEEE T. Automat. Contr.},
  title     = {{I}nvariance with dynamic multipliers},
  year      = {2017},
  number    = {7},
  pages     = {1929-1942},
  volume    = {63},
  eprint    = {10.1109/TAC.2017.2762764},
  file      = {:Scherer/FetSch17d.pdf:PDF},
  groups    = {Fetzer},
  issue     = {99},
  owner     = {mst},
  timestamp = {2016.05.17},
}

@InProceedings{HadBer91,
  author    = {W. M. Haddad and D. S. Bernstein},
  title     = {{E}xplicit construction of quadratic {L}yapunov functions for the small gain, positivity, circle and {P}opov theorems and their application to robust stability},
  booktitle = cdc91,
  year      = {1991},
  volume    = {3},
  pages     = {2618-2623},
  month     = {Dec},
  doi       = {10.1109/CDC.1991.261825},
  file      = {HadBer91.pdf:..\\03_papers\\HadBer91.pdf:PDF},
  groups    = {used, Fetzer},
  keywords  = {Lyapunov methods;stability criteria;transfer functions;Popov theorems;asymptotic stability;circle criterion;feedback interconnections;positive real transfer functions;positive real uncertainty;positively theorem;quadratic Lyapunov functions;robust stability;sector-bounded uncertainty;small gain theorem;strictly proper bounded real transfer functions;time-varying bounded real uncertainty;time-varying memoryless nonlinearity;Asymptotic stability;Electrostatic precipitators;Feedback;Linearity;Lyapunov method;Negative feedback;Robust stability;Stability analysis;Sufficient conditions;Transfer functions;Uncertainty},
  owner     = {mst},
  timestamp = {2016.06.13},
}

@Article{SchSim14,
  author       = {Schioler, Henrik and Simonsen, Maria and Leth, John},
  title        = {{S}tochastic stability of systems with semi-{M}arkovian switching},
  volume       = {50},
  number       = {11},
  pages        = {2961--2964},
  issn         = {0005-1098},
  abstract     = {This paper examines stochastic stability of switched dynamics in continuous
	time. The time evolution of the so called continuous state is at
	all times, determined by the dynamics indexed by the switching process
	or discrete state. The main contribution of this paper appears as
	stochastic stability results for switched dynamics with semi-Markovian
	switching. The notion of moment stability in the wide sense ({MSWS})
	is applied as a generalization of ?��? -moment stability. A sufficient
	criterion for {MSWS} is presented for the above class of systems,
	where each subsystem is assumed to be characterized by a Lyapunov
	function candidate together with an associated growth rate equation.
	For the set of Lyapunov functions, a compatibility criterion is assumed
	to be fulfilled, bounding the ratio between pairs of Lyapunov functions.},
  date         = {2014-11},
  doi          = {10.1016/j.automatica.2014.09.008},
  file         = {ScienceDirect Full Text PDF:C\:\\Users\\matth\\AppData\\Roaming\\Mozilla\\Firefox\\Profiles\\hxl1g9cu.default\\zotero\\storage\\HAHD4QUQ\\Schioler et al. - 2014 - Stochastic stability of systems with semi-Markovia.pdf:application/pdf;ScienceDirect Snapshot:C\:\\Users\\matth\\AppData\\Roaming\\Mozilla\\Firefox\\Profiles\\hxl1g9cu.default\\zotero\\storage\\JDWMCINW\\S0005109814003628.html:text/html},
  groups       = {Fetzer},
  journaltitle = {Automatica},
  keywords     = {Semi-Markov process, Stability, Stochastic system, Switching dynamics},
  owner        = {mst},
  shortjournal = {Automatica},
  timestamp    = {2016.07.04},
  url          = {http://www.sciencedirect.com/science/article/pii/S0005109814003628},
  urldate      = {2016-07-04},
}

@PhdThesis{Saf77,
  author    = {Safonov, M. G.},
  title     = {{R}obustness and stability aspects of stochastic multivariable feedback system design},
  school    = {Massachusetts Institute of Technology Dept. of Electrical Engineering and Computer Science},
  year      = {1977},
  groups    = {used, Fetzer},
  owner     = {mst},
  publisher = {Electronic Systems Laboratory, Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology},
  timestamp = {2016.07.26},
}

@InProceedings{SafAth78b,
  author     = {Safonov, M. G. and Athans, M.},
  title      = {{O}n stability theory},
  booktitle  = {1978 {IEEE} Conference on Decision and Control including the 17th Symposium on Adaptive Processes},
  pages      = {301--314},
  abstract   = {It is found that under mild assumptions, feedback system stability
	can be concluded if one can 'topologically separate' the infinite-dimensional
	function space containing the system's dynamical input-output relations
	into two regions, one region containing the dynamical input-output
	relation of the 'feedforward' element of the system and the other
	region containing the dynamical output-input relation of the 'feedback'
	element. Nonlinear system stability criteria of both the input-output
	type and the state-space (Lyapunov) type are interpreted in this
	context. The abstract generality and conceptual simplicity afforded
	by the topological separation perspective clarifies some of the basic
	issues underlying stability theory and serves to suggest improvements
	in existing stability criteria. A generalization of Zames' conic-relation
	stability criterion is proved, laying the foundation for improved
	multivariable generalizations of the frequency-domain circle stability
	criterion for nonlinear systems.},
  date       = {1978-01},
  doi        = {10.1109/CDC.1978.267941},
  eventtitle = {1978 {IEEE} Conference on Decision and Control including the 17th Symposium on Adaptive Processes},
  file       = {IEEE Xplore Abstract Record:C\:\\Users\\matth\\Dropbox\\01_Arbeit\\03_papers\\Zotero\\storage\\STPUH2ZM\\abs_all.html:URL;IEEE Xplore Full Text PDF:Zotero\\storage\\E9Z4F39J\\Safonov und Athans - 1978 - On stability theory.pdf:PDF},
  groups     = {used, Fetzer},
  keywords   = {Computer science, Nonlinear systems, Output feedback, Stability criteria},
  owner      = {mst},
  timestamp  = {2016.07.26},
}

@InBook{Bas01a,
  pages     = {233-238},
  title     = {{T}he {S}olution of {C}ertain {M}atrix {I}nequalities in {A}utomatic {C}ontrol {T}heory},
  publisher = {Wiley-IEEE Press},
  year      = {2001},
  author    = {Tamer Basar},
  isbn      = {9780470544334},
  booktitle = {Control Theory:Twenty-Five Seminal Papers (1932-1981)},
  doi       = {10.1109/9780470544334.ch13},
  groups    = {used, Fetzer},
  owner     = {mst},
  timestamp = {2016.08.01},
  url       = {http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=5311951},
}

@InProceedings{Yak62,
  author    = {Yakubovich, V. A.},
  booktitle = {Soviet Math. Dokl},
  title     = {{T}he solution of certain matrix inequalities in automatic control theory},
  year      = {1962},
  pages     = {620--623},
  volume    = {3},
  file      = {Yak62.pdf:../03_papers/Yak62.pdf:PDF;:Yak62.pdf:PDF},
  groups    = {used, Fetzer, SchVee18},
  owner     = {mst},
  timestamp = {2016.08.01},
}

@Article{LurPos44,
  author    = {Lur`e, A. I. and Postnikov, V. N.},
  title     = {{O}n the theory of stability of control systems},
  journal   = {Applied mathematics and mechanics},
  year      = {1944},
  volume    = {8},
  number    = {3},
  pages     = {246--248},
  groups    = {used, Fetzer},
  owner     = {mst},
  timestamp = {2016.08.02},
}

@InProceedings{TanPac06,
  author    = {Tan, W. and Packard, A. and Wheeler, T.},
  title     = {{L}ocal gain analysis on nonlinear systems},
  booktitle = {Proc. American Control Conference, Minneapolis},
  year      = {2006},
  file      = {TanPacWhe06.pdf:..\\03_papers\\TanPacWhe06.pdf:PDF},
  groups    = {used, Fetzer},
  owner     = {mst},
  timestamp = {2016.08.03},
}

@Article{ZhaWan14,
  author    = {H. Zhang and Z. Wang and D. Liu},
  title     = {{A} {C}omprehensive {R}eview of {S}tability {A}nalysis of {C}ontinuous-{T}ime {R}ecurrent {N}eural {N}etworks},
  journal   = {IEEE Transactions on Neural Networks and Learning Systems},
  year      = {2014},
  volume    = {25},
  number    = {7},
  pages     = {1229-1262},
  month     = {July},
  issn      = {2162-237X},
  doi       = {10.1109/TNNLS.2014.2317880},
  groups    = {used, Fetzer},
  keywords  = {delays;linear matrix inequalities;recurrent neural nets;stability;Cohen-Grossberg neural networks;Hopfield neural networks;Lyapunov diagonal stability forms;M-matrix forms;algebraic inequality forms;constant delay;continuous-time recurrent neural networks;delay-dependent stability;linear matrix inequality forms;necessary stability conditions;stability analysis;sufficient stability conditions;time delay;variable delay;Biological neural networks;Delays;Neurons;Recurrent neural networks;Stability criteria;(M) -matrix;Cohen--Grossberg neural networks;Cohen-Grossberg neural networks;Hopfield neural networks;Lyapunov diagonal stability (LDS);M-matrix;discrete delay;distributed delays;linear matrix inequality (LMI);recurrent neural networks;robust stability;stability;stability.},
  owner     = {mst},
  timestamp = {2016.08.05},
}

@InProceedings{GalTar09,
  author    = {S. Galeani and S. Tarbouriech and M. Turner and L. Zaccarian},
  title     = {{A} tutorial on modern anti-windup design},
  booktitle = {Control Conference (ECC), 2009 European},
  year      = {2009},
  pages     = {306-323},
  month     = {Aug},
  doi       = {10.3166/ejc.15.418-440},
  file      = {GalTarTurZac09.pdf:..\\03_papers\\GalTarTurZac09.pdf:PDF},
  groups    = {used, Fetzer},
  keywords  = {linear matrix inequalities;nonlinear control systems;DLAW approach;MIMO systems;MRAW approach;constructive linear anti windup techniques;direct linear anti windup approach;linear matrix inequalities;model recovery anti windup approach;nonlinear anti windup techniques;Decision support systems;Europe;Tutorials;anti-windup;input saturation;saturated performance;saturated stability},
  owner     = {mst},
  timestamp = {2016.08.12},
}

@Article{TarTur09,
  author    = {S. Tarbouriech and M. Turner},
  title     = {{A}nti-windup design: an overview of some recent advances and open problems},
  journal   = {IET Control Theory Applications},
  year      = {2009},
  volume    = {3},
  number    = {1},
  pages     = {1-19},
  month     = {January},
  issn      = {1751-8644},
  doi       = {10.1049/iet-cta:20070435},
  groups    = {used, Fetzer},
  keywords  = {control system synthesis;delays;linear matrix inequalities;linear systems;nonlinear control systems;stability;anti-windup design;anti-windup technique;constructive LMI conditions;linear matrix inequality;linear systems;nonlinear systems;stability;time delays},
  owner     = {mst},
  timestamp = {2016.08.12},
}

@Article{Tee96,
  author    = {Teel, A. R.},
  journal   = {IEEE Transactions on Automatic Control},
  title     = {{O}n graphs, conic relations, and input-output stability of nonlinear feedback systems},
  year      = {1996},
  number    = {5},
  pages     = {702--709},
  volume    = {41},
  file      = {:Tee96.pdf:PDF;:Topics/IQC/Tee96.pdf:PDF},
  groups    = {used, Fetzer, CSM20},
  owner     = {mst},
  publisher = {Institute of Electrical and Electronics Engineers},
  timestamp = {2016.08.12},
}

@Article{WanPfi16,
  author    = {S. Wang and H. Pfifer and P. Seiler},
  title     = {{R}obust synthesis for linear parameter varying systems using integral quadratic constraints},
  journal   = {Automatica},
  year      = {2016},
  volume    = {68},
  pages     = {111 - 118},
  issn      = {0005-1098},
  doi       = {http://dx.doi.org/10.1016/j.automatica.2016.01.053},
  file      = {WanPfiSei16.pdf:..\\03_papers\\WanPfiSei16.pdf:PDF},
  groups    = {used, Fetzer},
  keywords  = {Robust control},
  owner     = {mst},
  timestamp = {2016.08.15},
}

@Article{FuDas05,
  author    = {Fu, M. and Dasgupta, S. and Soh, Y.C.},
  journal   = {Automatica},
  title     = {{I}ntegral quadratic constraint approach vs. multiplier approach},
  year      = {2005},
  issn      = {0005-1098},
  number    = {2},
  pages     = {281 - 287},
  volume    = {41},
  doi       = {http://dx.doi.org/10.1016/j.automatica.2004.10.005},
  file      = {FuDasSoh05.pdf:..\\03_papers\\FuDasSoh05.pdf:PDF},
  groups    = {used, Fetzer, SchVee18},
  keywords  = {Integral quadratic constrains},
  owner     = {mst},
  timestamp = {2016.08.16},
}

@InProceedings{CarSei15,
  author    = {J. Carrasco and P. Seiler},
  title     = {{I}ntegral quadratic constraint theorem: {A} topological separation approach},
  booktitle = {2015 54th IEEE Conference on Decision and Control (CDC)},
  year      = {2015},
  pages     = {5701-5706},
  month     = {Dec},
  doi       = {10.1109/CDC.2015.7403114},
  file      = {CarSei15.pdf:..\\03_papers\\CarSei15.pdf:PDF},
  groups    = {used, Fetzer},
  keywords  = {closed loop systems;constraint theory;feedback;frequency-domain analysis;graph theory;input-output stability;integral equations;linear matrix inequalities;nonlinear control systems;open loop systems;time-domain analysis;LMI conditions;closed-loop;dissipative theory;feedback interconnection;frequency-domain analysis;frequency-domain conditions;frequency-domain integral quadratic constraints;graph separation;input/output stability;integral quadratic constraint theorem;linear matrix inequalities;noncausal multipliers;nonlinear systems;open-loop properties;time-domain IQC framework;time-domain analysis;time-domain conditions;topological separation approach;Frequency-domain analysis;Linear systems;Nonlinear systems;Stability analysis;Standards;Time-domain analysis;Transfer functions},
  owner     = {mst},
  timestamp = {2016.08.23},
}

@Article{GeoSmi97,
  author    = {T. T. Georgiou and M. C. Smith},
  journal   = {IEEE Transactions on Automatic Control},
  title     = {{R}obustness analysis of nonlinear feedback systems: an input-output approach},
  year      = {1997},
  issn      = {0018-9286},
  month     = {Sep},
  number    = {9},
  pages     = {1200-1221},
  volume    = {42},
  doi       = {10.1109/9.623082},
  file      = {:GeoSmi97.pdf:PDF;:Topics/IQC/GeoSmi97.pdf:PDF},
  groups    = {used, Fetzer, CSM20},
  keywords  = {control system analysis;feedback;nonlinear control systems;robust control;bounded signal sets;finite-time escape;gain functions;induced norms;input-output approach;model uncertainty;nonlinear feedback systems;robustness analysis;small-time delays;stability margin;Additives;Delay;Feedback loop;Nonlinear control systems;Nonlinear systems;Robust control;Robust stability;Robustness;Topology;Uncertainty},
  owner     = {mst},
  timestamp = {2016.08.23},
}

@Article{HilMoy77,
  author    = {D. J. Hill and P. J. Moylan},
  journal   = {Automatica},
  title     = {{S}tability results for nonlinear feedback systems},
  year      = {1977},
  issn      = {0005-1098},
  number    = {4},
  pages     = {377 - 382},
  volume    = {13},
  comment   = {Very good intro to stability results.
Mentions the trouble in testing IQCs.
Key is dissipativitiy. 
Computable storage functions for linear systems and quadratic supply rates.
Definition of dissipativity: With assumption on storage \geq 0.
Generalization of ARE to nonlinear if affine in input. But requires smoothness of extremal storage functions. This is a strong hypothesis. 
Lower gain and sectors as specail cases. 
Conic combination of supply rates suggested.
Unclear for which purpose nondegeneracy of supply rate is required.
Avoidance of loop transformations mentioned.
Lur'e considered. 
Popov criterion with positive multiplier.},
  doi       = {http://dx.doi.org/10.1016/0005-1098(77)90020-6},
  file      = {:HilMoy77.pdf:PDF},
  groups    = {used, Fetzer, CSM20},
  keywords  = {Closed loop systems},
  owner     = {mst},
  timestamp = {2016.08.23},
  url       = {http://www.sciencedirect.com/science/article/pii/0005109877900206},
}

@Article{Lib06,
  author    = {Liberzon, M. R.},
  title     = {{E}ssays on the absolute stability theory},
  journal   = {Automation and Remote Control},
  year      = {2006},
  volume    = {67},
  number    = {10},
  pages     = {1610--1644},
  issn      = {1608-3032},
  abstract  = {A brief historical background of the development of the absolute stability
	theory was presented, and some of its methods and approaches, as
	well as the results obtained using them, were discussed. The kinds
	of systems under consideration are named, and applications of the
	methods and results of the absolute stability theory to other scientific
	and practical fields for solution of the engineering, mechanical,
	physical, and other problems were presented.},
  doi       = {10.1134/S0005117906100043},
  file      = {Lib06.pdf:..\\03_papers\\Lib06.pdf:PDF},
  groups    = {used, Fetzer},
  owner     = {mst},
  timestamp = {2016.08.23},
  url       = {http://dx.doi.org/10.1134/S0005117906100043},
}

@Article{PfiSei16,
  author    = {Pfifer, Harald and Seiler, Peter},
  journal   = ijrn,
  title     = {{L}ess conservative robustness analysis of linear parameter varying systems using integral quadratic constraints},
  year      = {2016},
  issn      = {1099-1239},
  number    = {16},
  pages     = {3580-3594},
  volume    = {26},
  comment   = {http://dx.doi.org/10.1002/rnc.3521},
  groups    = {used, Fetzer, SchVee18},
  keywords  = {robust control, linear parameter varying systems, uncertain systems},
  owner     = {mst},
  timestamp = {2016.08.23},
}

@Article{OliPer08,
  author    = {Oliveira, R. C. L. F. and Peres, P. L. D.},
  title     = {{A} convex optimization procedure to compute ${H}_2$ and ${H}_\infty$ norms for uncertain linear systems in polytopic domains},
  journal   = {Optimal Control Applications and Methods},
  year      = {2008},
  volume    = {29},
  number    = {4},
  pages     = {295--312},
  issn      = {1099-1514},
  doi       = {10.1002/oca.825},
  file      = {OliPer08.pdf:..\\03_papers\\OliPer08.pdf:PDF},
  groups    = {used, Fetzer},
  keywords  = {uncertain linear systems, convex optimization, linear matrix inequalities, H2 and Hinf norms, homogeneous polynomially parameter-dependent Lyapunov functions, P?��lya's Theorem},
  owner     = {mst},
  publisher = {John Wiley \& Sons, Ltd.},
  timestamp = {2016.09.26},
  url       = {http://dx.doi.org/10.1002/oca.825},
}

@Article{VeeSch16a,
  author    = {Veenman, J. and Scherer, C. W. and K\"{o}ro\u{g}lu, H.},
  journal   = ejc,
  title     = {{R}obust stability and performance analysis based on integral quadratic constraints},
  year      = {2016},
  issn      = {0947-3580},
  pages     = {1-32},
  volume    = {31},
  doi       = {http://dx.doi.org/10.1016/j.ejcon.2016.04.004},
  file      = {:VeeSch16.pdf:PDF},
  groups    = {used, Fetzer, SchEbe20, CSM20},
  keywords  = {Robust stability and performance analysis},
  owner     = {mst},
  timestamp = {2016.09.28},
}

@InProceedings{AhmCar12,
  author    = {N. S. Ahmad and J. Carrasco and W. P. Heath},
  title     = {{R}evisited {Jury-Lee} criterion for multivariable discrete-time {L}ur'e systems: {C}onvex {LMI} search},
  booktitle = cdc12,
  year      = {2012},
  pages     = {2268-2273},
  month     = {Dec},
  doi       = {10.1109/CDC.2012.6426863},
  file      = {AhmCarHea12.pdf:..\\03_papers\\AhmCarHea12.pdf:PDF},
  groups    = {used, Fetzer},
  issn      = {0191-2216},
  keywords  = {Lyapunov methods;MIMO systems;control nonlinearities;convex programming;discrete time systems;linear matrix inequalities;multivariable control systems;nonlinear control systems;search problems;stability;Jury-Lee criterion;LMI condition;LMI-based criteria;Lur'e-Lyapunov function;MIMO system;SISO system;Tsypkin criteria;absolute stability;convex LMI search;discrete time Zames-Falb multipliers;linear matrix inequality condition;monotonic slope-restricted nonlinearities;multivariable discrete time Lur'e systems;slope-restricted nonlinearities;Helium;Lyapunov methods;MIMO;Numerical stability;Optimization;Stability criteria},
  owner     = {mst},
  timestamp = {2016.10.17},
}

@InProceedings{AhmCar13,
  author    = {N. S. Ahmad and J. Carrasco and W. P. Heath},
  title     = {{LMI} searches for discrete-time {Zames-Falb} multipliers},
  booktitle = cdc13,
  year      = {2013},
  pages     = {5258-5263},
  month     = {Dec},
  doi       = {10.1109/CDC.2013.6760716},
  file      = {AhmCarHea13.pdf:..\\03_papers\\AhmCarHea13.pdf:PDF},
  groups    = {used, Fetzer},
  issn      = {0191-2216},
  keywords  = {continuous time systems;discrete time systems;linear matrix inequalities;stability;LMI searches;anticausal multipliers;causal multipliers;continuous-time domain;discrete-time Zames-Falb multipliers;discrete-time domain;slope-restricted nonlinearities;stability;Gold;Heating;Phase locked loops},
  owner     = {mst},
  timestamp = {2016.10.17},
}

@Article{AhmCar15,
  author    = {N. S. Ahmad and J. Carrasco and W. P. Heath},
  title     = {{A} {L}ess {C}onservative {LMI} {C}ondition for {S}tability of {D}iscrete-{T}ime {S}ystems {W}ith {S}lope-{R}estricted {N}onlinearities},
  journal   = {IEEE T. Automat. Contr.},
  year      = {2015},
  volume    = {60},
  number    = {6},
  pages     = {1692-1697},
  month     = {June},
  issn      = {0018-9286},
  doi       = {10.1109/TAC.2014.2361398},
  file      = {AhmCarHea15.pdf:..\\03_papers\\AhmCarHea15.pdf:PDF},
  groups    = {used, Fetzer},
  keywords  = {absolute stability;control nonlinearities;convex programming;discrete time systems;linear matrix inequalities;search problems;IQCs;Jury-Lee criterion;LMI;Lyapunov theory;absolute stability;convex searches;discrete-time Lur'e systems;discrete-time systems;integral quadratic constraints;noncausal Zames-Falb multipliers;slope-restricted nonlinearities;Asymptotic stability;Frequency-domain analysis;Lyapunov methods;MIMO;Numerical stability;Stability criteria;Convex LMI;Lyapunov stability;discrete-time;multiplier theory},
  owner     = {mst},
  timestamp = {2016.10.17},
}

@Article{AhmHea13,
  author    = {N. S. Ahmad and W. P. Heath and G. Li},
  title     = {{LMI}-{B}ased {S}tability {C}riteria for {D}iscrete-{T}ime {L}ur'e {S}ystems {W}ith {M}onotonic, {S}ector- and {S}lope-{R}estricted {N}onlinearities},
  journal   = {IEEE T. Automat. Contr.},
  year      = {2013},
  volume    = {58},
  number    = {2},
  pages     = {459-465},
  month     = {Feb},
  issn      = {0018-9286},
  doi       = {10.1109/TAC.2012.2206721},
  file      = {AhmHeaLi13.pdf:..\\03_papers\\AhmHeaLi13.pdf:PDF},
  groups    = {used, Fetzer},
  keywords  = {Lyapunov methods;Popov criterion;control nonlinearities;control system synthesis;discrete time systems;linear matrix inequalities;IQC;LMI-based stability criteria;diagonal nonlinearities;discrete-time multivariable Lur'e system;integral quadratic constraint;monotonic nonlinearities;nondiagonal nonlinearities;sector-restricted nonlinearities;slope-restricted nonlinearities;Educational institutions;Frequency domain analysis;Helium;Lyapunov methods;MIMO;Stability criteria;Tin;Convex LMI;Lyapunov;discrete-time},
  owner     = {mst},
  timestamp = {2016.10.17},
}

@InProceedings{BocLes15,
  author    = {R. Boczar and L. Lessard and B. Recht},
  booktitle = cdc15,
  title     = {{E}xponential convergence bounds using integral quadratic constraints},
  year      = {2015},
  month     = {Dec},
  pages     = {7516-7521},
  doi       = {10.1109/CDC.2015.7403406},
  file      = {BocLesRec15.pdf:..\\03_papers\\BocLesRec15.pdf:PDF},
  groups    = {used, Fetzer, SchEbe20},
  keywords  = {asymptotic stability;nonlinear systems;quadratic programming;robust control;uncertain systems;IQC;exponential convergence bound;exponential decay rate;exponential stability;integral quadratic constraint;nonlinear system;robust control;system gain-bound property;system stability;uncertain element;Control theory;Convergence;Frequency-domain analysis;Integral equations;Stability analysis;Time-domain analysis},
  owner     = {mst},
  timestamp = {2016.10.17},
}

@Article{Kao12,
  author    = {C. Y. Kao},
  title     = {{O}n {S}tability of {D}iscrete-{T}ime {LTI} {S}ystems {W}ith {V}arying {T}ime {D}elays},
  journal   = {IEEE T. Automat. Contr.},
  year      = {2012},
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  pages     = {1243-1248},
  month     = {May},
  issn      = {0018-9286},
  doi       = {10.1109/TAC.2011.2174681},
  file      = {Kao12.pdf:..\\03_papers\\Kao12.pdf:PDF},
  groups    = {used, Fetzer},
  keywords  = {delay systems;discrete time systems;linear systems;stability criteria;time-varying systems;delay-difference operator;discrete-time LTI system stability;feedback interconnection;integral quadratic constraint framework;m-step average variation;m-step total variation;robust stability analysis;stability criteria;time-varying delay system;Delay;Delay effects;Numerical stability;Robust stability;Stability criteria;Time varying systems;Discrete-time (DT);integral quadratic constraint (IQC);linear-time-invariant (LTI)},
  owner     = {mst},
  timestamp = {2016.10.17},
}

@Article{OSYou67,
  author    = {R. O'Shea and M. Younis},
  title     = {{A} frequency-time domain stability criterion for sampled-data systems},
  journal   = {IEEE T. Automat. Contr.},
  year      = {1967},
  volume    = {12},
  number    = {6},
  pages     = {719-724},
  month     = {December},
  issn      = {0018-9286},
  doi       = {10.1109/TAC.1967.1098747},
  file      = {OSYou67.pdf:..\\03_papers\\OSYou67.pdf:PDF},
  groups    = {used, Fetzer},
  keywords  = {Asymptotic stability;Discrete-time systems;Asymptotic stability;Continuous time systems;Control systems;Frequency domain analysis;Poles and zeros;Sampling methods;Stability criteria;Steel;Sufficient conditions},
  owner     = {mst},
  timestamp = {2016.10.17},
}

@InProceedings{WanHea14,
  author    = {S. Wang and W. P. Heath and J. Carrasco},
  title     = {{A} complete and convex search for discrete-time noncausal {FIR} {Z}ames-{F}alb multipliers},
  booktitle = cdc14,
  year      = {2014},
  pages     = {3918-3923},
  month     = {Dec},
  doi       = {10.1109/CDC.2014.7039998},
  file      = {WanHeaCar14.pdf:..\\03_papers\\WanHeaCar14.pdf:PDF},
  groups    = {used, Fetzer},
  issn      = {0191-2216},
  keywords  = {discrete time systems;linear matrix inequalities;LMI;convex search;discrete-time noncausal FIR Zames-Falb multipliers;finite impulse response stucture;linear constraints;linear matrix inequality;Discrete-time systems;Finite impulse response filters;Numerical stability;Stability criteria;Standards;Transfer functions},
  owner     = {mst},
  timestamp = {2016.10.17},
}

@InProceedings{AhmHea10,
  author    = {N. S. Ahmad and W. P. Heath and G. Li},
  booktitle = cdc10,
  title     = {{L}yapunov functions for discrete-time multivariable {P}opov criterion with indefinite multipliers},
  year      = {2010},
  month     = {Dec},
  pages     = {1559-1564},
  doi       = {10.1109/CDC.2010.5717085},
  file      = {AhmHeaLi10.pdf:..\\03_papers\\AhmHeaLi10.pdf:PDF},
  groups    = {used, Fetzer, SchVee18},
  issn      = {0191-2216},
  keywords  = {Lyapunov methods;Popov criterion;convex programming;discrete time systems;linear matrix inequalities;multivariable control systems;Lur'e-Postkinov type Lyapunov functions;S-procedure;convex optimization;discrete-time Kalman-Yakubovich-Popov lemma;discrete-time multivariable Popov criterion;indefinite multipliers;linear matrix inequality;Heating;Helium;Lead;Lyapunov method;Stability criteria;Tin},
  owner     = {mst},
  timestamp = {2016.10.18},
}

@Article{AhmHea11,
  author    = {N. S. Ahmad and W.P. Heath and G. Li},
  title     = {{L}yapunov {F}unctions for {G}eneralized {D}iscrete-time {M}ultivariable {P}opov {C}riterion},
  journal   = {{IFAC} Proceedings Volumes},
  year      = {2011},
  volume    = {44},
  number    = {1},
  pages     = {3392 - 3397},
  issn      = {1474-6670},
  note      = {18th {IFAC} World Congress},
  doi       = {http://dx.doi.org/10.3182/20110828-6-IT-1002.00402},
  groups    = {used, Fetzer},
  owner     = {mst},
  timestamp = {2016.10.18},
  url       = {http://www.sciencedirect.com/science/article/pii/S1474667016441352},
}

@Article{HadBer94,
  author    = {W. M. Haddad and D. S. Bernstein},
  title     = {{P}arameter-dependent {L}yapunov functions and the discrete-time {P}opov criterion for robust analysis},
  journal   = {Automatica},
  year      = {1994},
  volume    = {30},
  number    = {6},
  pages     = {1015 - 1021},
  issn      = {0005-1098},
  doi       = {http://dx.doi.org/10.1016/0005-1098(94)90195-3},
  file      = {HadBer94.pdf:..\\03_papers\\HadBer94.pdf:PDF},
  groups    = {used, Fetzer},
  keywords  = {Parameter-dependent Lyapunov functions},
  owner     = {mst},
  timestamp = {2016.10.18},
  url       = {http://www.sciencedirect.com/science/article/pii/0005109894901953},
}

@Article{JurLee64,
  author    = {E. Jury and B. Lee},
  title     = {{O}n the stability of a certain class of nonlinear sampled-data systems},
  journal   = {IEEE Transactions on Automatic Control},
  year      = {1964},
  volume    = {9},
  number    = {1},
  pages     = {51-61},
  month     = {Jan},
  issn      = {0018-9286},
  doi       = {10.1109/TAC.1964.1105622},
  groups    = {Fetzer},
  keywords  = {Discrete-time systems, nonlinear;Nonlinear systems, discrete-time;Stability;Automatic control;Continuous time systems;Control systems;Feedback;Frequency response;Lyapunov method;Sampled data systems;Space exploration;Stability criteria;Sufficient conditions},
  owner     = {mst},
  timestamp = {2016.10.18},
}

@Article{ParKim98,
  author    = {P. Park and S. W. Kim},
  title     = {{A} {R}evisited {T}sypkin {C}riterion for {D}iscrete-{T}ime {N}onlinear {L}ur'e {S}ystems with {M}onotonic {S}ector-{R}estrictions},
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  year      = {1998},
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  issn      = {0005-1098},
  doi       = {http://dx.doi.org/10.1016/S0005-1098(98)00100-9},
  file      = {ParKim98.pdf:..\\03_papers\\ParKim98.pdf:PDF},
  groups    = {used, Fetzer},
  keywords  = {Robust stability},
  owner     = {mst},
  timestamp = {2016.10.18},
  url       = {http://www.sciencedirect.com/science/article/pii/S0005109898001009},
}

@Book{HorJoh91,
  author    = {Horn, R. A. and Johnson, C. R.},
  publisher = {Cambridge University Press},
  title     = {{T}opics in {M}atrix analysis},
  year      = {1991},
  address   = {New York},
  groups    = {used, Fetzer, Generic},
  owner     = {mst},
  timestamp = {2016.11.03},
}

@Article{Tsy64,
  author    = {{Tsypkin}, Y.~Z.},
  title     = {{A Criterion for Absolute Stability of Automatic Pulse Systems with Monotonic Characteristics of the Nonlinear Element}},
  journal   = {Soviet Phys. Dokl.},
  year      = {1964},
  volume    = {9},
  pages     = {263},
  month     = oct,
  adsnote   = {Provided by the SAO/NASA Astrophysics Data System},
  adsurl    = {http://adsabs.harvard.edu/abs/1964SPhD....9..263T},
  groups    = {Fetzer},
  owner     = {mst},
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}

@Book{Cla90,
  title     = {{O}ptimization and nonsmooth analysis},
  publisher = {SIAM, Philadelphia, Pa, USA},
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  volume    = {5},
  series    = {Classics in Applied Mathematics},
  groups    = {used, Fetzer},
  owner     = {mst},
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}

@Article{Bul42,
  author    = {Bulgakov, B. V.},
  title     = {{S}elf-sustained oscillations of control systems},
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  groups    = {Fetzer},
  owner     = {mst},
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}

@Booklet{Sch99d,
  title          = {{L}ecture notes on {IQCs}},
  author         = {Scherer, C. W.},
  year           = {1999},
  note           = {(unpublished)},
  endnotereftype = {Personal Communication},
  groups         = {Fetzer},
  owner          = {mst},
  shorttitle     = {Personal communication},
  timestamp      = {2017.01.02},
}

@Article{San64,
  author    = {Sandberg, I. W.},
  title     = {{A} {F}requency-{D}omain {C}ondition for the {S}tability of {F}eedback {S}ystems {C}ontaining a {S}ingle {T}ime-{V}arying {N}onlinear {E}lement},
  journal   = {Bell System Technical Journal},
  year      = {1964},
  volume    = {43},
  number    = {4},
  pages     = {1601--1608},
  issn      = {1538-7305},
  doi       = {10.1002/j.1538-7305.1964.tb04100.x},
  groups    = {Fetzer},
  owner     = {mst},
  publisher = {Blackwell Publishing Ltd},
  timestamp = {2017.01.05},
  url       = {http://dx.doi.org/10.1002/j.1538-7305.1964.tb04100.x},
}

@Article{San64a,
  author    = {Sandberg, I. W.},
  title     = {{O}n the ${L}_2$-{B}oundedness of {S}olutions of {N}onlinear {F}unctional {E}quations},
  journal   = {Bell System Technical Journal},
  year      = {1964},
  volume    = {43},
  number    = {4},
  pages     = {1581--1599},
  issn      = {1538-7305},
  doi       = {10.1002/j.1538-7305.1964.tb04098.x},
  groups    = {Fetzer},
  owner     = {mst},
  publisher = {Blackwell Publishing Ltd},
  timestamp = {2017.01.05},
  url       = {http://dx.doi.org/10.1002/j.1538-7305.1964.tb04098.x},
}

@Article{San65,
  author    = {Sandberg, I. W.},
  title     = {{S}ome {R}esults on the {T}heory of {P}hysical {S}ystems {G}overned {N}onlinear {F}unctional {E}quations},
  journal   = {Bell System Technical Journal},
  year      = {1965},
  volume    = {44},
  number    = {5},
  pages     = {871--898},
  issn      = {1538-7305},
  doi       = {10.1002/j.1538-7305.1965.tb04161.x},
  groups    = {Fetzer},
  owner     = {mst},
  publisher = {Blackwell Publishing Ltd},
  timestamp = {2017.01.05},
  url       = {http://dx.doi.org/10.1002/j.1538-7305.1965.tb04161.x},
}

@Article{Yak67,
  author    = {Yakubovich, V. A.},
  journal   = {Automation and Remote Control},
  title     = {{F}requency conditions for the absolute stability of control systems with several nonlinear or linear nonstationary blocks},
  year      = {1967},
  pages     = {857--880},
  volume    = {1},
  comment   = {Translated from Avtomatika i Telemekhanika, No. 6, pp. 5--30, June, 1967.},
  file      = {:Yak67.djvu:Djvu;:Yak67.pdf:PDF},
  groups    = {Fetzer, SchVee18},
  owner     = {mst},
  timestamp = {2017.01.09},
}

@Article{BroWil65,
  author    = {R. Brockett and J. Willems},
  journal   = {IEEE Transactions on Automatic Control},
  title     = {{F}requency domain stability criteria--{P}art {I}},
  year      = {1965},
  issn      = {0018-9286},
  month     = {Jul},
  number    = {3},
  pages     = {255-261},
  volume    = {10},
  doi       = {10.1109/TAC.1965.1098143},
  file      = {:BroWil65.pdf:PDF;:Strelnikova/SectorLiterature/BroWil65.pdf:PDF},
  groups    = {Fetzer, CSM20},
  keywords  = {Lyapunov methods;Nonlinear systems;Popov stability;Constraint theory;Contracts;Differential equations;Frequency domain analysis;Nonlinear equations;Polynomials;Space technology;Stability criteria},
  owner     = {mst},
  timestamp = {2017.01.10},
}

@Article{BroWil65a,
  author    = {R. Brockett and J. Willems},
  journal   = {IEEE Transactions on Automatic Control},
  title     = {{F}requency domain stability criteria--{P}art {II}},
  year      = {1965},
  issn      = {0018-9286},
  month     = {Oct},
  number    = {4},
  pages     = {407-413},
  volume    = {10},
  doi       = {10.1109/TAC.1965.1098198},
  file      = {:BroWil65a.pdf:PDF;:Strelnikova/SectorLiterature/BroWil65a.pdf:PDF},
  groups    = {Fetzer, CSM20},
  keywords  = {Nonlinear systems;Stability;Aerodynamics;Automatic control;Calculus;Filtering theory;Frequency domain analysis;Least squares approximation;Least squares methods;Parameter estimation;Stability criteria;Stochastic processes},
  owner     = {mst},
  timestamp = {2017.01.10},
}

@InBook{Iwa01,
  pages     = {149--174},
  title     = {{G}eneralized quadratic lyapunov functions for nonlinear/uncertain systems analysis},
  publisher = {Springer London},
  year      = {2001},
  author    = {Iwasaki, T.},
  editor    = {Moheimani, S.O. Reza},
  address   = {London},
  isbn      = {978-1-84628-576-9},
  booktitle = {Perspectives in robust control},
  doi       = {10.1007/BFb0110619},
  groups    = {Fetzer},
  owner     = {mst},
  timestamp = {2017.01.11},
  url       = {http://dx.doi.org/10.1007/BFb0110619},
}

@Article{TurKer09,
  author    = {M. C. Turner and M. Kerr and I. Postlethwaite},
  title     = {{O}n the {E}xistence of {S}table, {C}ausal {M}ultipliers for {S}ystems {W}ith {S}lope-{R}estricted {N}onlinearities},
  journal   = {IEEE Transactions on Automatic Control},
  year      = {2009},
  volume    = {54},
  number    = {11},
  pages     = {2697-2702},
  month     = {Nov},
  issn      = {0018-9286},
  doi       = {10.1109/TAC.2009.2031581},
  groups    = {Fetzer},
  keywords  = {control nonlinearities;feedback;linear matrix inequalities;linear systems;stability;causal multipliers;confirmation linear time invariant system;feedback interconnection stability;linear matrix inequalities;single-input-single-output system;slope-restricted nonlinearities;stable multipliers;Asymptotic stability;Automatic control;Control engineering;Control systems;Councils;Feedback;Linear matrix inequalities;Lyapunov method;Stability analysis;Stability criteria;Linear matrix inequalities (LMIs);linear time invariant (LTI);single-input-single-output (SISO)},
  owner     = {mst},
  timestamp = {2017.01.13},
}

@InProceedings{TurKer12b,
  author    = {M. C. Turner and M. Kerr and J. Sofrony},
  title     = {{O}n stability analysis for systems containing repeated scalar slope-restricted nonlinearities},
  booktitle = {American Control Conference (ACC)},
  year      = {2012},
  pages     = {2589-2594},
  month     = {June},
  doi       = {10.1109/ACC.2012.6315057},
  groups    = {Fetzer},
  issn      = {0743-1619},
  keywords  = {control nonlinearities;feedback;interconnected systems;linear matrix inequalities;linear systems;multidimensional systems;stability;IQC stability analysis framework;LMI-based computational framework;feedback interconnections;finite dimensional linear time invariant system;identical scalar nonlinearities;nonlinear element;repeated scalar slope-restricted nonlinearities;stability multipliers;DH-HEMTs;Equations;Linear matrix inequalities;MIMO;Stability criteria;Transfer functions},
  owner     = {mst},
  timestamp = {2017.01.13},
}

@Article{Bat15,
  author    = {Stefano Battilotti},
  title     = {{N}onlinear predictors for systems with bounded trajectories and delayed measurements},
  journal   = {Automatica},
  year      = {2015},
  volume    = {59},
  pages     = {127 - 138},
  issn      = {0005-1098},
  doi       = {http://dx.doi.org/10.1016/j.automatica.2015.06.007},
  groups    = {Fetzer},
  keywords  = {Nonlinear systems},
  owner     = {mst},
  timestamp = {2017.01.16},
  url       = {http://www.sciencedirect.com/science/article/pii/S0005109815002356},
}

@Book{AizGan64,
  title     = {{A}bsolute stability of regulator systems},
  publisher = {Holden-day, San Francisco},
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  groups    = {Fetzer},
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}

@Article{Bon64,
  author    = {J. J. Bongiorno},
  title     = {{R}eal-frequency stability criteria for linear time-varying systems},
  journal   = {Proceedings of the IEEE},
  year      = {1964},
  volume    = {52},
  number    = {7},
  pages     = {832-841},
  month     = {July},
  issn      = {0018-9219},
  doi       = {10.1109/PROC.1964.3126},
  groups    = {Fetzer},
  keywords  = {Adaptive control;Adaptive systems;Aerospace control;Aircraft;Control systems;Linear systems;Programmable control;Satellites;Stability criteria;Time varying systems},
  owner     = {mst},
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}

@Article{Nyq32,
  author    = {Nyquist, H.},
  title     = {{R}egeneration {T}heory},
  journal   = {Bell System Technical Journal},
  year      = {1932},
  volume    = {11},
  number    = {1},
  pages     = {126--147},
  issn      = {1538-7305},
  doi       = {10.1002/j.1538-7305.1932.tb02344.x},
  groups    = {Fetzer},
  owner     = {mst},
  publisher = {Blackwell Publishing Ltd},
  timestamp = {2017.01.18},
  url       = {http://dx.doi.org/10.1002/j.1538-7305.1932.tb02344.x},
}

@Article{Roz63,
  author    = {Rozenvasser, E. N.},
  title     = {{T}he absolute stability of non--linear systems},
  journal   = {Translated from Automatika i Telemekhanika},
  year      = {1963},
  volume    = {24},
  pages     = {304--313},
  groups    = {Fetzer},
  owner     = {mst},
  timestamp = {2017.01.18},
}

@Article{Zam63,
  author    = {G. Zames},
  title     = {{F}unctional {A}nalysis {A}pplied to {N}onlinear {F}eedback {S}ystems},
  journal   = {IEEE Transactions on Circuit Theory},
  year      = {1963},
  volume    = {10},
  number    = {3},
  pages     = {392-404},
  month     = {September},
  issn      = {0018-9324},
  doi       = {10.1109/TCT.1963.1082162},
  groups    = {Fetzer},
  keywords  = {Algebra;Contracts;Convergence;Feedback loop;Functional analysis;Gain;History;Nonlinear distortion;Nonlinear systems;Stability},
  owner     = {mst},
  timestamp = {2017.01.18},
}

@PhdThesis{Fet17,
  author    = {Fetzer, M.},
  title     = {{F}rom isolated absolute stability tests towards comprehensive robustness analysis},
  school    = {University of Stuttgart},
  year      = {2017},
  file      = {:Fet17.pdf:PDF;:Scherer\\Fet17.pdf:PDF},
  groups    = {Fetzer},
  owner     = {mst},
  timestamp = {2017.03.29},
}

@Article{FetSch17a,
  author    = {Fetzer, M. and Scherer, C. W.},
  journal   = {Int. J. Robust Nonlin.},
  title     = {{F}ull-block multipliers for repeated, slope-restricted scalar nonlinearities},
  year      = {2017},
  issn      = {1099-1239},
  number    = {17},
  pages     = {3376-3411},
  volume    = {27},
  doi       = {10.1002/rnc.3751},
  file      = {:Scherer/FetSch17a.pdf:PDF},
  groups    = {Fetzer, SchVee18, CSM20},
  keywords  = {absolute stability analysis, integral quadratic constraints, slope-restricted nonlinearities},
  owner     = {mst},
  timestamp = {2017.03.29},
}

@Article{ValGar17,
  author    = {G. Valmorbida and A. Garulli and L. Zaccarian},
  title     = {{R}egional gain analysis for linear saturating systems},
  journal   = {Automatica},
  year      = {2017},
  volume    = {76},
  pages     = {164 - 168},
  issn      = {0005-1098},
  doi       = {http://dx.doi.org/10.1016/j.automatica.2016.10.030},
  groups    = {Fetzer},
  keywords  = {Constrained systems},
  owner     = {mst},
  timestamp = {2017.04.03},
  url       = {http://www.sciencedirect.com/science/article/pii/S0005109816304344},
}

@Article{CheBud17,
  author    = {Chen, F.-Y. B. and Budgett, D. M. and Sun, Y. and Malpas, S. and McCormick, D. and Freestone, P. S.},
  title     = {{P}ulse-width modulation of optogenetic photo-stimulation intensity for application to full-implantable light sources},
  journal   = {IEEE Transactions on Biomedical Circuits and Systems},
  year      = {2017},
  volume    = {11},
  number    = {1},
  pages     = {28--34},
  groups    = {Fetzer},
  owner     = {mst},
  publisher = {IEEE},
  timestamp = {2017.04.06},
}

@Article{DavBas13,
  author    = {E. A. Davidson and A. S. Basu and T. S. Bayer},
  title     = {{P}rogramming {M}icrobes {U}sing {P}ulse {W}idth {M}odulation of {O}ptical {S}ignals},
  journal   = {Journal of Molecular Biology},
  year      = {2013},
  volume    = {425},
  number    = {22},
  pages     = {4161 - 4166},
  issn      = {0022-2836},
  doi       = {http://dx.doi.org/10.1016/j.jmb.2013.07.036},
  groups    = {Fetzer},
  keywords  = {low-pass filter},
  owner     = {mst},
  timestamp = {2017.04.06},
  url       = {http://www.sciencedirect.com/science/article/pii/S0022283613004841},
}

@Book{HolLip03,
  title     = {{P}ulse width modulation for power converters: principles and practice},
  publisher = {John Wiley \& Sons},
  year      = {2003},
  author    = {Holmes, D. G. and Lipo, T. A.},
  volume    = {18},
  groups    = {Fetzer},
  owner     = {mst},
  timestamp = {2017.04.06},
}

@Book{Kaz15,
  title     = {{P}ulse-width modulated {DC}-{DC} power converters},
  publisher = {John Wiley \& Sons},
  year      = {2015},
  author    = {Kazimierczuk, M. K.},
  groups    = {Fetzer},
  owner     = {mst},
  timestamp = {2017.04.06},
}

@Article{MazPas15,
  author    = {A.H. Mazinan and M. Pasand and B. Soltani},
  title     = {{F}ull quaternion based finite-time cascade attitude control approach via pulse modulation synthesis for a spacecraft},
  journal   = {\{ISA\} Transactions},
  year      = {2015},
  volume    = {58},
  pages     = {567 - 585},
  issn      = {0019-0578},
  doi       = {http://dx.doi.org/10.1016/j.isatra.2015.06.008},
  groups    = {Fetzer},
  keywords  = {Robust finite-time cascade attitude control approach},
  owner     = {mst},
  timestamp = {2017.04.06},
  url       = {http://www.sciencedirect.com/science/article/pii/S0019057815001445},
}

@Article{MenFio14,
  author    = {Menolascina, F. and Fiore, G. and Orabona, E. and De Stefano, L. and Ferry, M. and Hasty, J. and di Bernardo, M. and di Bernardo, D.},
  title     = {{I}n-vivo real-time control of protein expression from endogenous and synthetic gene networks},
  journal   = {PLoS Comput Biol},
  year      = {2014},
  volume    = {10},
  number    = {5},
  pages     = {e1003625},
  groups    = {Fetzer},
  owner     = {mst},
  publisher = {Public Library of Science},
  timestamp = {2017.04.06},
}

@Article{MenMen16,
  author    = {Xiangyu Meng and Ziyang Meng and Tongwen Chen and Dimos V. Dimarogonas and Karl Henrik Johansson},
  title     = {{P}ulse width modulation for multi-agent systems},
  journal   = {Automatica},
  year      = {2016},
  volume    = {70},
  pages     = {173 - 178},
  issn      = {0005-1098},
  doi       = {http://dx.doi.org/10.1016/j.automatica.2016.03.012},
  groups    = {Fetzer},
  keywords  = {Sampled-data control},
  owner     = {mst},
  timestamp = {2017.04.06},
  url       = {http://www.sciencedirect.com/science/article/pii/S0005109816300929},
}

@PhdThesis{Joe96,
  author    = {J{\"o}nsson, U. T.},
  title     = {{R}obustness {A}nalysis of {U}ncertain and {N}onlinear {S}ystems},
  year      = {1996},
  file      = {Joe96.pdf:..\\03_papers\\Joe96.pdf:PDF},
  groups    = {Fetzer},
  issn      = {0280-5316},
  keyword   = {LInear matrix inequalities,Control systems,Nonlinearity,Uncertainty,Popov criterion,Duality,Convex optimization,Multipliers,Robust stability,Robust performance,Automation,robotics,control engineering,Automatiska system,robotteknik,reglerteknik},
  language  = {eng},
  owner     = {mst},
  pages     = {183},
  publisher = {Department of Automatic Control, Lund Institute of Technology (LTH)},
  series    = {PhD Theses},
  timestamp = {2017.04.10},
  volume    = {TFRT-1047},
}

@PhdThesis{Vee15,
  author    = {Veenman, J.},
  title     = {{A} general framework for robust analysis and control: an integral quadratic constraint based approach},
  year      = {2015},
  groups    = {Fetzer},
  owner     = {mst},
  publisher = {Logos Berlin},
  timestamp = {2017.04.10},
}

@Article{MirRot99,
  author    = {L. Mirkin and H. P. Rotstein and Z. J. Palmor},
  journal   = {SIAM Journal on Control and Optimization},
  title     = {${H}_2$ and ${H}_\infty$ {D}esign of {S}ampled-{D}ata {S}ystems {U}sing {L}ifting. {P}art {I}: {G}eneral {F}ramework and {S}olutions},
  year      = {1999},
  number    = {1},
  pages     = {175-196},
  volume    = {38},
  doi       = {10.1137/S0363012997329603},
  eprint    = {http://dx.doi.org/10.1137/S0363012997329603},
  file      = {MirRotPal99.pdf:..\\03_papers\\MirRotPal99.pdf:PDF},
  groups    = {Fetzer},
  owner     = {mst},
  timestamp = {2017.04.11},
  url       = {http://dx.doi.org/10.1137/S0363012997329603},
}

@Article{Wil72,
  author         = {Willems, J. C.},
  journal        = {Arch. Ratinal Mech. Anal.},
  title          = {{D}issipative {D}ynamical {S}ystems, {P}arts {I+II}},
  year           = {1972},
  pages          = {321-393},
  volume         = {45},
  endnotereftype = {Journal Article},
  file           = {:Wil72.pdf:PDF;:Wil72I.pdf:PDF;:Wil72II.pdf:PDF},
  groups         = {used, Fetzer, CSM20},
  keywords       = {dissipativity},
  owner          = {mst},
  shorttitle     = {Dissipative Dynamical Systems, Part {I}: General Theory},
  timestamp      = {2017.05.08},
}

@Article{WalKao08,
  author    = {Ragnar Wallin and Chung-Yao Kao and Anders Hansson},
  title     = {{A} cutting plane method for solving {KYP}-{SDP}s},
  journal   = {Automatica},
  year      = {2008},
  volume    = {44},
  number    = {2},
  pages     = {418 - 429},
  issn      = {0005-1098},
  doi       = {https://doi.org/10.1016/j.automatica.2007.06.026},
  groups    = {Fetzer},
  keywords  = {Semidefinite programming},
  owner     = {mst},
  timestamp = {2017.05.29},
  url       = {http://www.sciencedirect.com/science/article/pii/S0005109807003378},
}

@Article{Wil69,
  author    = {J. C. Willems},
  journal   = {SIAM Journal on Control},
  title     = {{S}tability, {I}nstability, {I}nvertibility and {C}ausality},
  year      = {1969},
  number    = {4},
  pages     = {645-671},
  volume    = {7},
  doi       = {10.1137/0307047},
  eprint    = {http://dx.doi.org/10.1137/0307047},
  groups    = {Fetzer, CSM20},
  owner     = {mst},
  timestamp = {2017.05.29},
  url       = {http://dx.doi.org/10.1137/0307047},
}

@Book{07,
  title     = {{I}ntroduction to quantum control and dynamics},
  publisher = {CRC press},
  year      = {2007},
  author    = {d'Alessandro, D.},
  groups    = {Fetzer},
  owner     = {mst},
  timestamp = {2017.05.30},
}

@Book{CarSch12,
  title     = {{A}ttention and self-regulation: {A} control-theory approach to human behavior},
  publisher = {Springer Science \& Business Media},
  year      = {2012},
  author    = {Carver, C. S. and Scheier, M. F.},
  groups    = {Fetzer},
  owner     = {mst},
  timestamp = {2017.05.30},
}

@Article{CarSch82,
  author    = {Carver, C. S. and Scheier, M. F.},
  title     = {{C}ontrol theory: {A} useful conceptual framework for personality--social, clinical, and health psychology.},
  journal   = {Psychological bulletin},
  year      = {1982},
  volume    = {92},
  number    = {1},
  pages     = {111},
  groups    = {Fetzer},
  owner     = {mst},
  publisher = {American Psychological Association},
  timestamp = {2017.05.30},
}

@Article{Doy16,
  author    = {F. J. Doyle},
  title     = {{C}ontrol and {B}iology [{P}resident's {M}essage]},
  journal   = {IEEE Control Systems},
  year      = {2016},
  volume    = {36},
  number    = {3},
  pages     = {8-10},
  month     = {June},
  issn      = {1066-033X},
  doi       = {10.1109/MCS.2016.2536118},
  groups    = {Fetzer},
  owner     = {mst},
  timestamp = {2017.05.30},
}

@Book{Gro63,
  title     = {{C}ontrol theory and biological systems},
  publisher = {Columbia University Press},
  year      = {1963},
  author    = {Grodins, F. S.},
  groups    = {Fetzer},
  owner     = {mst},
  timestamp = {2017.05.30},
}

@Article{KelBar14,
  author    = {Kelly, J. and Barends, R. and Campbell, B. and Chen, Y. and Chen, Z. and Chiaro, B. and Dunsworth, A. and Fowler, A. G. and Hoi, I.-C. and Jeffrey, E. and others},
  title     = {{O}ptimal quantum control using randomized benchmarking},
  journal   = {Physical review letters},
  year      = {2014},
  volume    = {112},
  number    = {24},
  pages     = {240504},
  groups    = {Fetzer},
  owner     = {mst},
  publisher = {APS},
  timestamp = {2017.05.30},
}

@Book{Lur57,
  title     = {{E}inige nichtlineare {P}robleme aus der {T}heorie der selbstt{\"a}tigen {R}egelung},
  year      = {1957},
  author    = {Lurje, A. I.},
  groups    = {Fetzer},
  owner     = {mst},
  timestamp = {2017.05.30},
}

@Article{MesSil98,
  author    = {Meshulach, Doron and Silberberg, Yaron},
  title     = {{C}oherent quantum control of two-photon transitions by a femtosecond laser pulse},
  journal   = {Nature},
  year      = {1998},
  volume    = {396},
  number    = {6708},
  pages     = {239--242},
  groups    = {Fetzer},
  owner     = {mst},
  publisher = {Nature Publishing Group},
  timestamp = {2017.05.30},
}

@Book{Wie48,
  title     = {{C}ybernetics: {C}ontrol and communication in the animal and the machine},
  publisher = {Wiley New York},
  year      = {1948},
  author    = {Wiener, N.},
  groups    = {Fetzer},
  owner     = {mst},
  timestamp = {2017.05.30},
}

@Article{AndYou07,
  author    = {C. W. Anderson and P. M. Young and M. R. Buehner and J. N. Knight and K. A. Bush and D. C. Hittle},
  journal   = {IEEE Transactions on Neural Networks},
  title     = {Robust Reinforcement Learning Control Using {I}ntegral {Q}uadratic {C}onstraints for Recurrent Neural Networks},
  year      = {2007},
  issn      = {1045-9227},
  number    = {4},
  pages     = {993-1002},
  volume    = {18},
  doi       = {10.1109/TNN.2007.899520},
  groups    = {Fetzer, SchVee18},
  keywords  = {adaptive control;feedback;learning (artificial intelligence);linear systems;neurocontrollers;recurrent neural nets;robust control;time-varying systems;uncertain systems;PI control;adaptive control;convex optimization;feedback control system;integral quadratic constraints;linear time-invariant systems;machine learning;nonlinear component;proportional integral control;recurrent neural networks;reinforcement learning control;robust control;stability guarantee;time-varying component;uncertain system;Constraint theory;Feedback control;Integral equations;Machine learning;Neural networks;Recurrent neural networks;Robust control;Robust stability;Stability analysis;Uncertainty;Integral quadratic constraints (IQCs);recurrent neural networks (NNs);reinforcement learning;robust control;Algorithms;Artificial Intelligence;Biomimetics;Computer Simulation;Decision Support Techniques;Feedback;Least-Squares Analysis;Markov Chains;Models, Theoretical;Neural Networks (Computer);Reinforcement (Psychology)},
  owner     = {mst},
  timestamp = {2017.06.01},
}

@Article{ForTes95,
  author    = {M. Forti and A. Tesi},
  title     = {{N}ew conditions for global stability of neural networks with application to linear and quadratic programming problems},
  journal   = {IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications},
  year      = {1995},
  volume    = {42},
  number    = {7},
  pages     = {354-366},
  issn      = {1057-7122},
  doi       = {10.1109/81.401145},
  groups    = {Fetzer},
  keywords  = {Lyapunov matrix equations;asymptotic stability;circuit stability;linear programming;neural nets;quadratic programming;Lyapunov diagonally semi-stable matrices;Lyapunov diagonally stable matrices;Lyapunov functions;continuous nondecreasing neuron activation functions;equilibrium point;global asymptotic stability;global stability conditions;linear programming problems;neural networks;nonsymmetric interconnection matrices;quadratic programming problems;symmetric interconnection matrices;Additives;Asymptotic stability;Circuit theory;Integrated circuit interconnections;Lyapunov method;Neural networks;Neurons;Nonlinear systems;Quadratic programming;Symmetric matrices},
  owner     = {mst},
  timestamp = {2017.06.01},
}

@Article{Jua99,
  author    = {J.-C. Juang},
  title     = {{S}tability analysis of {H}opfield-type neural networks},
  journal   = {IEEE Transactions on Neural Networks},
  year      = {1999},
  volume    = {10},
  number    = {6},
  pages     = {1366-1374},
  issn      = {1045-9227},
  doi       = {10.1109/72.809081},
  groups    = {Fetzer},
  keywords  = {Hopfield neural nets;Lyapunov methods;Popov criterion;robust control;Hopfield-type neural networks;Popov criteria;edge theorem;existence;global stability;induction scheme;linear matrix inequalities;local stability;matrix determinant problem;parameter-dependent Lyapunov function;robust control research;stability analysis;uniqueness;Hopfield neural networks;Linear matrix inequalities;Lyapunov method;Neural networks;Robust control;Robust stability;Stability analysis;Stability criteria;Symmetric matrices;Testing},
  owner     = {mst},
  timestamp = {2017.06.01},
}

@InProceedings{KerTur10,
  author    = {M. L. Kerr and M. C. Turner and I. Postlethwaite},
  title     = {{R}obust anti-windup control of {SISO} systems},
  booktitle = {Proceedings of the 2010 American Control Conference},
  year      = {2010},
  pages     = {6745-6750},
  doi       = {10.1109/ACC.2010.5531400},
  groups    = {Fetzer},
  issn      = {0743-1619},
  keywords  = {MIMO systems;compensation;control system synthesis;feedback;frequency-domain analysis;linear systems;robust control;anti-windup compensation;nominal plant;quantitative feedback theory-style frequency domain analysis;robust anti-windup control;robust stability;stability multipliers;uncertain linear single-input-single-output systems;Control system synthesis;Control systems;Feedback;Filters;Linear systems;Nonlinear control systems;Robust control;Robust stability;Robustness;Uncertainty},
  owner     = {mst},
  timestamp = {2017.06.01},
}

@Article{Mor80,
  author    = {A. Morse},
  title     = {{G}lobal stability of parameter-adaptive control systems},
  journal   = {IEEE Transactions on Automatic Control},
  year      = {1980},
  volume    = {25},
  number    = {3},
  pages     = {433-439},
  issn      = {0018-9286},
  doi       = {10.1109/TAC.1980.1102364},
  groups    = {Fetzer},
  keywords  = {Adaptive control;Linear systems, time-invariant continuous-time;Stability;Adaptive algorithm;Adaptive control;Control systems;Delay systems;Error correction;Feedback;Linear systems;Poles and zeros;Stability;Transfer functions},
  owner     = {mst},
  timestamp = {2017.06.01},
}

@Book{SasBod11,
  title     = {{A}daptive control: stability, convergence and robustness},
  publisher = {Courier Corporation},
  year      = {2011},
  author    = {Sastry, S. and Bodson, M.},
  groups    = {Fetzer},
  owner     = {mst},
  timestamp = {2017.06.01},
}

@MastersThesis{Ten91,
  author    = {Teng, J.},
  title     = {{R}obust stability and performance analysis with time-varying perturbations},
  school    = {UC Berkeley, Berkeley, USA},
  year      = {1991},
  groups    = {Fetzer},
  journal   = {Master's thesis, UC Berkeley, Berkeley, USA (May 1991)},
  owner     = {mst},
  timestamp = {2017.06.01},
}

@InProceedings{SeiPac10,
  author    = {P. Seiler and A. Packard and G. J. Balas},
  title     = {{A} dissipation inequality formulation for stability analysis with integral quadratic constraints},
  booktitle = {49th IEEE Conference on Decision and Control (CDC)},
  year      = {2010},
  pages     = {2304-2309},
  month     = {Dec},
  doi       = {10.1109/CDC.2010.5717073},
  groups    = {Fetzer},
  issn      = {0191-2216},
  keywords  = {absolute stability;constraint theory;feedback;frequency-domain analysis;infinite horizon;input-output stability;integral equations;interconnected systems;IQC stability theorem;absolute stability theory;dissipation inequality formulation;feedback interconnection;finite-horizon dissipation inequality;frequency domain condition;homotopy method;infinite time horizon;input-output stability;integral quadratic constraint;noncausal multiplier;operator theory;quadratic storage function;rational IQC multiplier;robustness analysis;Frequency domain analysis;Linear matrix inequalities;Linear systems;Polynomials;Stability analysis;Time domain analysis},
  owner     = {mst},
  timestamp = {2017.06.02},
}

@Book{ArcMei16,
  author    = {Arcak, Murat and Meissen, Chris and Packard, Andrew},
  publisher = {Springer},
  title     = {{N}etworks of dissipative systems: compositional certification of stability, performance, and safety},
  year      = {2016},
  groups    = {Fetzer, SchVee18},
  owner     = {mst},
  timestamp = {2017.06.09},
}

@Article{KokArc01,
  author    = {P. Kokotovic and M. Arcak},
  title     = {{C}onstructive nonlinear control: a historical perspective},
  journal   = {Automatica},
  year      = {2001},
  volume    = {37},
  number    = {5},
  pages     = {637 - 662},
  issn      = {0005-1098},
  doi       = {http://dx.doi.org/10.1016/S0005-1098(01)00002-4},
  groups    = {Fetzer},
  keywords  = {Design tools},
  owner     = {mst},
  timestamp = {2017.06.09},
  url       = {http://www.sciencedirect.com/science/article/pii/S0005109801000024},
}

@Book{Van17,
  title     = {${L}_2$-gain and passivity techniques in nonlinear control},
  publisher = {Springer},
  year      = {2017},
  author    = {Van der Schaft, Arjan},
  groups    = {Fetzer},
  owner     = {mst},
  timestamp = {2017.06.09},
}

@Book{Ama90,
  title     = {{O}rdinary {D}ifferential {E}quations: {A}n {I}ntroduction to {N}onlinear {A}nalysis},
  publisher = {de Gruyter},
  year      = {1990},
  author    = {Amann, H.},
  series    = {De Gruyter studies in mathematics},
  isbn      = {9780899255521},
  groups    = {Fetzer},
  lccn      = {89025928},
  owner     = {mst},
  timestamp = {2017.06.14},
  url       = {https://books.google.de/books?id=DTZ5bVAsyvEC},
}

@Book{CheFra12,
  title     = {{O}ptimal sampled-data control systems},
  publisher = {Springer Science \& Business Media},
  year      = {2012},
  author    = {Chen, T. and Francis, B. A.},
  groups    = {Fetzer},
  owner     = {mst},
  timestamp = {2017.06.21},
}

@Article{FetSch17b,
  author    = {M. Fetzer and C. W. Scherer},
  journal   = {IEEE Control Systems Letters},
  title     = {{Z}ames-{F}alb {M}ultipliers for {I}nvariance},
  year      = {2017},
  issn      = {412-417},
  number    = {2},
  pages     = {1-1},
  volume    = {PP},
  doi       = {10.1109/LCSYS.2017.2718556},
  file      = {:Scherer/FetSch17b.pdf:PDF},
  groups    = {Fetzer},
  issue     = {1},
  keywords  = {Linear matrix inequalities;Linear systems;Lyapunov methods;Stability criteria;Time-domain analysis;Uncertainty;Lyapunov methods.;Robust control;Uncertain systems},
  owner     = {mst},
  timestamp = {2017.06.27},
}

@Article{LesRec16,
  author    = {L. Lessard and B. Recht and A. Packard},
  journal   = {SIAM Journal on Optimization},
  title     = {{A}nalysis and {D}esign of {O}ptimization {A}lgorithms via {I}ntegral {Q}uadratic {C}onstraints},
  year      = {2016},
  number    = {1},
  pages     = {57-95},
  volume    = {26},
  doi       = {10.1137/15M1009597},
  eprint    = {https://doi.org/10.1137/15M1009597},
  file      = {:LesRec16.pdf:PDF},
  groups    = {SchEbe20},
  owner     = {carsten},
  timestamp = {2017.11.19},
  url       = {https://doi.org/10.1137/15M1009597},
}

@ARTICLE{ImuSch00,
  author = {J. Imura and A. van der Schaft},
  title = {{C}haracterization of well-posedness of piecewise-linear systems},
  journal = {IEEE Transactions on Automatic Control},
  year = {2000},
  volume = {45},
  number = {9},
  month = {Sep},
  pages = {1600-1619},
  issn = {0018-9286},
  doi = {10.1109/9.880612},
  keywords = {piecewise linear techniques;state feedback;bimodal systems;closed
	loop system;discontinuous dynamical system well-posedness conditions;lexicographic
	inequalities;multimodal systems;necessary and sufficient conditions;piecewise-linear
	discontinuous systems;piecewise-linear systems;state feedback gains;switching
	control;well-posedness;Automata;Automatic control;Computer science;Control
	system synthesis;Control systems;Controllability;Piecewise linear
	techniques;Stability;State feedback;Sufficient conditions},
  owner = {carsten},
  timestamp = {2018.02.11}
}

@ARTICLE{AbeNag96,
  author = {Abedor, J. and Nagpal, K. and Poolla, K.},
  title = {{A} linear matrix inequality approach to peak-to-peak gain minimization},
  journal = {Int. J. Robust Nonlin.},
  year = {1996},
  volume = {6},
  number = {9-10},
  pages = {899-927},
  abstract = {We take a new approach to the problem of peak-to-peak gain minimization
	(the ${L}_1$ or induced ${L}_\infty$ problem). This is done in an
	effort to circumvent the complexity problems of other approaches.
	Instead of minimizing the induced ${L}_\infty$ norm, we minimize
	the *-norm, the best upper bound on the induced ${L}_\infty$ norm
	obtainable by bounding the reachable set with inescapable ellipsoids.
	Controller and filter synthesis for *-norm minimization reduces to
	minimizing a continuous function of a single real variable. This
	function can be evaluated, in the most complicated case, by solving
	a Riccati equation followed by an LMI eigenvalue problem. We contend
	that synthesis is practical now, but a key computational question-is
	the function to be minimized convex?-remains open. The filters and
	controllers that result from this approach are at most the same order
	as the plant, as in the case of LQG and ${H}_\infty$ design.},
  endnotereftype = {Journal Article},
  shorttitle = {{A} linear matrix inequality approach to peak-to-peak gain minimization}
}

@BOOK{AboFre03,
  author = {Abou-Kandil, H. and Freiling, G. and Ionescu, V. and Jank, G},
  title = {{M}atrix {R}iccati equations in control and systems theory},
  year = {2003},
  editor = {Basar, T.},
  series = {Systems /\& Control: Foundations /\& Applications},
  publisher = {Birkh\"auser},
  address = {Basel},
  endnotereftype = {Book},
  shorttitle = {Matrix {R}iccati equations in control and systems theory}
}

@INPROCEEDINGS{AhmYou07,
  author = {Ahmad, H. and Young, T. M. and Toal, D. and Omerdic, E.},
  title = {{C}ompensation of jammed control surface of large transport aircraft
	by control reconfiguration},
  booktitle = {Control /\& Automation, 2007. MED '07. Mediterranean Conference on},
  year = {2007},
  month = {27-29 June 2007},
  pages = {1-6},
  endnotereftype = {Conference Proceedings},
  keywords = {aircraft control control system synthesis convex programming least
	squares approximations active set method aircraft dynamics aircraft
	flight controls control allocation control law design control reconfiguration
	convex problem fault identification system flight control surfaces
	jammed control surface large transport aircraft sequential least
	squares problem virtual control effort signals},
  shorttitle = {Compensation of jammed control surface of large transport aircraft
	by control reconfiguration}
}

@ARTICLE{AkaPau06,
  author = {Akar, M. and Paul, A. and Safonov, M. G. and Mitra, U.},
  title = {{C}onditions on the stability of a class of second-order switched
	systems},
  journal = IEEE_J_AC,
  year = {2006},
  volume = {51},
  number = {2},
  month = {Feb},
  pages = {338-340},
  note = {015EW Times Cited:13 Cited References Count:11},
  issn = {0018-9286},
  abstract = {For a special class of systems, it is shown that the existence of
	a common quadratic Lyapunov function (CQLF) is necessary and sufficient
	for the stability of an associated switched system under arbitrary
	switching. Furthermore, it is shown that the existence of a CQLF
	for N (N > 2) subsystems is equivalent to the existence of a CQLF
	for every pair of subsystems. An algorithm is proposed to compute
	a CQLF for the subsystems, when it exists, using the left and right
	eigenvectors of a critical matrix obtained from a matrix pencil.},
  endnotereftype = {Journal Article},
  keywords = {common quadratic lyapunov function (cqlf) m-matrix stability switched
	systems existence},
  shorttitle = {Conditions on the stability of a class of second-order switched systems}
}

@ARTICLE{AlaApk99,
  author = {Alazard, D. and Apkarian, P.},
  title = {{E}xact {O}bserver-{B}ased {S}tructures for {A}rbitrary {C}ompensators},
  journal = {Int. J. Robust Nonlin.},
  year = {1999},
  volume = {9},
  pages = {101-118},
  endnotereftype = {Journal Article},
  keywords = {observer structure},
  shorttitle = {Exact Observer-Based Structures for Arbitrary Compensators}
}

@ARTICLE{AliRub04,
  author = {Aliaga, I. and Rubio, A. and Sanchez, E.},
  title = {{E}xperimental {Q}uantitative {C}omparison of {D}ifferent {C}ontrol
	{A}rchitectures for {M}aster-{S}lave {T}eleoperation},
  journal = {IEEE Transactions on Control Systems Technology},
  year = {2004},
  volume = {12},
  pages = {2-11},
  endnotereftype = {Journal Article},
  file = {AliRub04.pdf:AliRub04.pdf:PDF;AliRub04.pdf:PDF:;AliRub04.pdf:AliRub04.pdf:PDF},
  keywords = {teleoperation},
  shorttitle = {Experimental Quantitative Comparison of Different Control Architectures
	for Master-Slave Teleoperation}
}

@ARTICLE{AlkVan02,
  author = {Alkire, B. and Vandenberghe, L.},
  title = {{C}onvex optimization problems involving finite autocorrelation sequences},
  journal = {Mathematical Programming},
  year = {2002},
  volume = {93},
  number = {3},
  month = {Dec},
  pages = {331-359},
  abstract = {We discuss convex optimization problems where some of the variables
	are constrained to be finite autocorrelation sequences. Problems
	of this form arise in signal processing and communications, and we
	describe applications in filter design and system identification.
	Autocorrelation constraints in optimization problems are often approximated
	by sampling the corresponding power spectral density, which results
	in a set of linear inequalities. They can also be cast as linear
	matrix inequalities via the Kalman-Yakubovich-Popov lemma. The linear
	matrix inequality formulation is exact, and results in convex optimization
	problems that can be solved using interior-point methods for semidefinite
	programming. However, it has an important drawback: to represent
	an autocorrelation sequence of length n, it requires the introduction
	of a large number (n(n+1)/2) of auxiliary variables. This results
	in a high computational cost when general-purpose semidefinite programming
	solvers are used. We present a more efficient implementation based
	on duality and on interior-point methods for convex problems with
	generalized linear inequalities.},
  endnotereftype = {Journal Article},
  file = {:AlkVan02.pdf:PDF;AlkVan02.pdf:AlkVan02.pdf:PDF},
  keywords = {sdp Toeplitz structure},
  shorttitle = {Convex optimization problems involving finite autocorrelation sequences}
}

@BOOK{All96,
  author = {F.~Allg{\"o}wer},
  title = {{N}\"aherungsweise {Ein}-{Ausgangs}-{Linearisierung} nichtlinearer
	{Systeme}},
  year = {1996},
  series = {Fortschr.-Ber. {VDI} Reihe 8 Nr. 582},
  publisher = {{VDI} Verlag},
  address = {D\"usseldorf},
  endnotereftype = {Book},
  shorttitle = {N\"aherungsweise {Ein}-/{Ausgangs}-{Linearisierung} nichtlinearer
	{Systeme}}
}

@INCOLLECTION{AllBadQin99,
  author = {Allg\"ower, F. and Badgwell, T.A. and Qin, J.S. and Rawlings, J.B.
	and Wright, S.J.},
  editor = {Frank, P. M.},
  title = {{N}onlinear {P}redictive {C}ontrol and {M}oving {H}orizon {E}stimation
	- an {I}ntroductory {O}verview},
  booktitle = {Advances in Control - Highlights of the European Control Conference
	1999},
  year = {1999},
  publisher = {Springer-Verlag},
  pages = {391-449},
  address = {Berlin},
  endnotereftype = {Book Section},
  keywords = {mpc overview},
  shorttitle = {Nonlinear Predictive Control and Moving Horizon Estimation - an Introductory
	Overview}
}

@ARTICLE{AllEng01,
  author = {Allg\"ower, F. and Engell, S. and Piwonka, F. and Scherer, C. and
	Schlacher, K. and Schuler, H.},
  title = {{M}ethodische {P}erspektiven in der {A}utomatisierungstechnik},
  journal = {Automatisierungstechnik},
  year = {2001},
  volume = {49},
  pages = {7-9},
  endnotereftype = {Journal Article},
  shorttitle = {Methodische Perspektiven in der Automatisierungstechnik}
}

@INPROCEEDINGS{AlrRan06,
  author = {Alriksson, P. and Rantzer, A.},
  editor = {Yamamoto, Yutaka},
  title = {{O}bserver synthesis for switched discrete-time linear systems using
	relaxed dynamic programming},
  booktitle = {MTNS 2006},
  year = {2006},
  address = {Kyoto, Japan},
  endnotereftype = {Conference Proceedings},
  file = {AlrRan06.pdf:AlrRan06.pdf:PDF;AlrRan06.pdf:AlrRan06.pdf:PDF},
  keywords = {observer},
  shorttitle = {Observer synthesis for switched discrete-time linear systems using
	relaxed dynamic programming}
}

@INPROCEEDINGS{AlrRan06b,
  author = {Alriksson, P. and Rantzer, A.},
  editor = {Yamamoto, Yutaka},
  title = {{D}istributed {K}alman filtering using weighted averaging},
  booktitle = {MTNS 2006},
  year = {2006},
  address = {Kyoto, Japan},
  endnotereftype = {Conference Proceedings},
  file = {AlrRan06b.pdf:AlrRan06b.pdf:PDF;AlrRan06b.pdf:Thesis\\AlrRan06b.pdf:PDF;AlrRan06b.pdf:AlrRan06b.pdf:PDF},
  keywords = {observer filtering},
  shorttitle = {Distributed {K}alman filtering using weighted averaging}
}

@BOOK{Ama83,
  author = {Amann, H.},
  title = {{G}ew\"ohnliche {D}ifferentialgleichungen},
  year = {1983},
  publisher = {Walter de Gruyter},
  address = {Berlin, New York},
  endnotereftype = {Book},
  shorttitle = {Gew\"ohnliche Differentialgleichungen}
}

@Article{AmaRot01,
  author         = {D'Amato, F.J. and Rotea, M.A. and Megretski, A.V. and J\"onsson, U. T.},
  journal        = {Automatica},
  title          = {{N}ew {R}esults for {A}nalysis of {S}ystems with {R}epeated {N}onlinearities},
  year           = {2001},
  number         = {5},
  pages          = {739-747},
  volume         = {37},
  endnotereftype = {Journal Article},
  file           = {AmaRot01.pdf:AmaRot01.pdf:PDF;AmaRot01.pdf:AmaRot01.pdf:PDF},
  groups         = {SchVee18},
  shorttitle     = {New Results for Analysis of Systems with Repeated Nonlinearities},
}

@ARTICLE{And01,
  author = {D'Andrea, R.},
  title = {{C}onvex and finite-dimensional conditions for controller synthesis
	with dynamic integral constraints},
  journal = {IEEE T. Automat. Contr.},
  year = {2001},
  volume = {46},
  number = {2},
  month = {2001///},
  pages = {222-234},
  endnotereftype = {Journal Article},
  file = {Dan01.pdf:Dan01.pdf:Djvu},
  shorttitle = {Convex and finite-dimensional conditions for controller synthesis
	with dynamic integral constraints}
}

@BOOK{And88,
  author = {Ando, T.},
  title = {{M}atrix {Q}uadratic {E}quations},
  year = {1988},
  series = {Lecture Notes, Hokkaido University},
  address = {Sapporo, Japan},
  endnotereftype = {Book},
  shorttitle = {Matrix Quadratic Equations}
}

@ARTICLE{And98,
  author = {Anderson, B.D.O.},
  title = {{F}rom {Y}oula-{K}ucera to {I}dentification, {A}daptive and {N}onlinear
	{C}ontrol},
  journal = {Automatica},
  year = {1998},
  volume = {34},
  pages = {1485-1506},
  endnotereftype = {Journal Article},
  shorttitle = {From Youla-Kucera to Identification, Adaptive and Nonlinear Control}
}

@ARTICLE{And99,
  author = {D'Andrea, R.},
  title = {{G}eneralized $l_2$ synthesis},
  journal = {IEEE T. Automat. Contr.},
  year = {1999},
  volume = {44},
  number = {6},
  pages = {1145-1156},
  endnotereftype = {Journal Article},
  file = {And99.pdf:And99.pdf:PDF;And99.pdf:And99.pdf:PDF},
  keywords = {sdp},
  shorttitle = {Generalized $l_2$ synthesis}
}

@BOOK{AndMoo79,
  author = {Anderson, B.D.O. and Moore, J.B.},
  title = {{O}ptimal {F}iltering},
  year = {1979},
  publisher = {Prentice Hall},
  address = {Englewood Cliffs, New Jersey},
  endnotereftype = {Book},
  keywords = {stochastic},
  shorttitle = {Optimal Filtering}
}

@Book{AndVon73,
  author         = {Anderson, B.D.O. and Vongpanitlerd, S.},
  publisher      = {Prentice Hall},
  title          = {{N}etwork {A}nalysis and {S}ynthesis},
  year           = {1973},
  address        = {Englewood Cliffs, New Jersey},
  endnotereftype = {Book},
  groups         = {Generic},
  shorttitle     = {Network Analysis and Synthesis},
}

@INPROCEEDINGS{AngCas01,
  author = {Angeli, D. and Casavola, A. and Mosca, E.},
  title = {{P}redicitive control with partial state information},
  booktitle = {European Control Conf.},
  year = {2001},
  pages = {962-967},
  address = {Porto, Portugal},
  endnotereftype = {Conference Proceedings},
  file = {:AngCas01.pdf:PDF;AngCas01.pdf:AngCas01.pdf:PDF},
  keywords = {mpc observer structure},
  shorttitle = {Predicitive control with partial state information}
}

@ARTICLE{Ant85,
  author = {Antoulas, A.C.},
  title = {{A} {N}ew {A}pproach to {S}ynthesis {P}roblems in {L}inear {S}ystem
	{T}heory},
  journal = ijc,
  year = {1985},
  volume = {30},
  pages = {465-473},
  endnotereftype = {Journal Article},
  shorttitle = {A New Approach to Synthesis Problems in Linear System Theory}
}

@ARTICLE{ApkAda98,
  author = {Apkarian, P. and Adams, R. J.},
  title = {{A}dvanced gain-scheduling techniques for uncertain systems},
  journal = {IEEE Contr. Syst. Mag.},
  year = {1998},
  volume = {6},
  number = {1},
  pages = {21-32},
  endnotereftype = {Journal Article},
  file = {ApkAda98.pdf:ApkAda98.pdf:PDF},
  keywords = {lpv},
  shorttitle = {Advanced gain-scheduling techniques for uncertain systems}
}

@INPROCEEDINGS{ApkGah94,
  author = {Apkarian, P. and Gahinet, P. and Becker, G.},
  title = {{S}elf-scheduled {$H_\infty$} control of linear parameter-varying
	systems},
  booktitle = {Proc. Amer. Contr. Conf.},
  year = {1994},
  pages = {856-860},
  address = {Baltimore, Maryland},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Self-scheduled {$H_\infty$} control of linear parameter-varying systems}
}

@ARTICLE{ApkGah95,
  author = {Apkarian, P. and Gahinet, P.},
  title = {{A} convex characterization of gain-scheduled {${\cal H}_\infty$}
	controllers},
  journal = {IEEE T. Automat. Contr.},
  year = {1995},
  volume = {40},
  pages = {853-864},
  endnotereftype = {Journal Article},
  file = {ApkGah95.pdf:ApkGah95.pdf:PDF;ApkGah95.pdf:PDF:;ApkGah95.pdf:ApkGah95.pdf:PDF},
  shorttitle = {{A} convex characterization of gain-scheduled {${/cal H}_\infty$}
	controllers}
}

@ARTICLE{ApkNol06,
  author = {Apkarian, P. and Noll, D.},
  title = {{IQC} analysis and synthesis via nonsmooth optimization},
  journal = {Syst. Control Lett.},
  year = {2006},
  volume = {55},
  number = {12},
  pages = {971-981},
  endnotereftype = {Journal Article},
  file = {ApkNol06.pdf:ApkNol06.pdf:PDF;ApkNol06.pdf:ApkNol06.pdf:PDF},
  keywords = {iqc},
  shorttitle = {{IQC} analysis and synthesis via nonsmooth optimization}
}

@ARTICLE{ApkTua00,
  author = {Apkarian, P. and Tuan, H. D.},
  title = {{P}arameterized {LMI}s in control theory},
  journal = {{SIAM} J. Control Optim.},
  year = {2000},
  volume = {38},
  pages = {1241-1264},
  endnotereftype = {Journal Article},
  keywords = {lpv},
  shorttitle = {Parameterized {LMI}s in control theory}
}

@ARTICLE{ArcMel02,
  author = {Arcara, P. and Melchiorri, C.},
  title = {{C}ontrol schemes for teleoperation with time delay: {A} comparative
	study},
  journal = {Robotics and Autonomous Systems},
  year = {2002},
  volume = {38},
  number = {1},
  month = {2002/1/31},
  pages = {49-64},
  endnotereftype = {Journal Article},
  file = {ArcMel02.pdf::Djvu;ArcMel02.pdf:ArcMel02.pdf:PDF;ArcMel02.pdf:ArcMel02.pdf:PDF},
  keywords = {teleoperation},
  shorttitle = {Control schemes for teleoperation with time delay: A comparative study}
}

@MISC{ArzPea98,
  author = {Arzelier, D. and Peaucelle, D.},
  title = {{Q}uadratic {S}tability for {U}ncertain {G}eneralised {M}odels {V}ia
	{D}ynmaic {O}utput {F}eedback {C}ontrol: {A} {R}iccati {E}quation
	{A}pproach},
  year = {1998},
  endnotereftype = {Generic},
  shorttitle = {Quadratic Stability for Uncertain Generalised Models Via Dynmaic Output
	Feedback Control: A Riccati Equation Approach}
}

@Misc{ArzPea98a,
  author         = {Arzelier, D. and Peaucelle, D.},
  title          = {{Q}uadratic {S}tability for {U}ncertain {G}eneralised {M}odels {V}ia {D}ynmaic {O}utput {F}eedback {C}ontrol: {A} {R}iccati {E}quation {A}pproach},
  year           = {1998},
  endnotereftype = {Generic},
  groups         = {Fetzer},
  shorttitle     = {Quadratic Stability for Uncertain Generalised Models Via Dynmaic Output Feedback Control: A Riccati Equation Approach},
}

@ARTICLE{AsaHar00,
  author = {Asai, T. and Hara, S. and Iwasaki, T.},
  title = {{S}imultaneous parametric uncertainty modeling and robust control
	synthesis by {LFT} scaling},
  journal = {Automatica},
  year = {2000},
  volume = {36},
  number = {10},
  pages = {1457-1467},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/AsaHar00.pdf:Djvu;AsaHar00.pdf:AsaHar00.pdf:PDF;AsaHar00.pdf:AsaHar00.pdf:PDF},
  shorttitle = {Simultaneous parametric uncertainty modeling and robust control synthesis
	by {LFT} scaling}
}

@INPROCEEDINGS{AsaHar98,
  author = {Asai, T. and Hara, S.},
  title = {{S}ome conditions which make the constantly scaled ${H}_\infty$ control
	synthesis problems convex},
  booktitle = {Proc. Amer. Contr. Conf.},
  year = {1998},
  pages = {3492-3496},
  address = {Philadelphia},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/AsaHar98.pdf:Djvu;AsaHar98.pdf:AsaHar98.pdf:PDF;AsaHar98.pdf:AsaHar98.pdf:PDF},
  shorttitle = {Some conditions which make the constantly scaled ${H}_\infty$ control
	synthesis problems convex}
}

@ARTICLE{AsaHar99,
  author = {Asai, T. and Hara, S.},
  title = {{A} unified approach to {LMI}-based reduced order self-scheduling
	control synthesis},
  journal = {Syst. Control Lett.},
  year = {1999},
  volume = {36},
  number = {1},
  pages = {75-86},
  endnotereftype = {Journal Article},
  file = {AsaHar99.pdf:AsaHar99.pdf:PDF;AsaHar99.pdf:AsaHar99.pdf:PDF},
  shorttitle = {A unified approach to LMI-based reduced order self-scheduling control
	synthesis}
}

@ARTICLE{Ast,
  author = {Astr\"om, K.J.},
  title = {{M}odel uncertainty and robust control},
  endnotereftype = {Journal Article},
  file = {:ast.pdf:;AstKle05.pdf:AstKle05.pdf:PDF},
  keywords = {robust},
  shorttitle = {Model uncertainty and robust control}
}

@ARTICLE{AstKle05,
  author = {Astr\"om, K.J. and Klein, R.E. and Lennartsson, A.},
  title = {{B}icycle {D}yanamics and {C}ontrol},
  journal = {IEEE Contr. Syst. Mag.},
  year = {2005},
  pages = {26-47},
  endnotereftype = {Journal Article},
  file = {AstKle05.pdf::Djvu;AstKle05.pdf:AstKle05.pdf:PDF;AstKle05.pdf:AstKle05.pdf:PDF},
  shorttitle = {Bicycle Dyanamics and Control}
}

@ARTICLE{AstWim03,
  author = {Astuti, P. and Wimmer, H.K.},
  title = {{S}tacked submodules of torsion modules over discrete valuation domains
	and h-independent bases},
  journal = {preprint},
  year = {2003},
  endnotereftype = {Journal Article},
  file = {AstWim03.dvi},
  keywords = {modules},
  shorttitle = {Stacked submodules of torsion modules over discrete valuation domains
	and h-independent bases}
}

@ARTICLE{AteWer04,
  author = {Aten, M. and Werner, H.},
  title = {{S}ubsynchronous damping controller design for high voltage {DC}
	links using linear matrix inequalities},
  journal = {Control Eng. Pract.},
  year = {2004},
  volume = {12},
  number = {6},
  month = {2004/6},
  pages = {735-744},
  endnotereftype = {Journal Article},
  file = {AteWer04.pdf::Djvu;AteWer04.pdf:AteWer04.pdf:PDF;AteWer04.pdf:AteWer04.pdf:PDF},
  keywords = {lmi application},
  shorttitle = {Subsynchronous damping controller design for high voltage DC links
	using linear matrix inequalities}
}

@BOOK{Aub00,
  author = {Aubin, J.P.},
  title = {{A}pplied {F}unctional {A}nalysis},
  year = {2000},
  edition = {2nd},
  publisher = {John Wiley /\& Sons},
  endnotereftype = {Book},
  shorttitle = {Applied Functional Analysis}
}

@BOOK{Aub84,
  author = {Aubin, J.P.},
  title = {{E}xplicit {M}ethods of {O}ptimization},
  year = {1984},
  publisher = {Gauthier-Villars},
  address = {Paris},
  endnotereftype = {Book},
  shorttitle = {Explicit Methods of Optimization}
}

@INPROCEEDINGS{AyrPag00,
  author = {Ayres, G. and Paganini, F.},
  title = {{C}onvex method for localized control design in spatially invariant
	systems},
  booktitle = {Decision and Control, 2000. Proceedings of the 39th IEEE Conference
	on},
  year = {2000},
  volume = {4},
  month = {2000},
  isbn = {0191-2216},
  pages = {3751-3756 vol.4},
  endnotereftype = {Conference Proceedings},
  file = {AyrPag00.pdf:AyrPag00.pdf:PDF},
  keywords = {Lyapunov matrix equations closed loop systems control system synthesis
	distributed control distributed parameter systems invariance matrix
	algebra H<sub>&infin </sub> control H<sub>2</sub> control KYP lemma
	convex method distributed arrays linear matrix inequalities localized
	control design one-dimensional arrays performance objective spatial
	frequency spatially invariant systems stabilization sufficient conditions},
  shorttitle = {Convex method for localized control design in spatially invariant
	systems}
}

@INPROCEEDINGS{AzaHes02,
  author = {Azad, A. M. and Hesketh, T.},
  title = {{D}ecentralized control approach to multi-rate sampled-data systems},
  booktitle = {Control, Automation, Robotics and Vision, 2002. ICARCV 2002. 7th
	International Conference on},
  year = {2002},
  volume = {1},
  month = {2-5 Dec. 2002},
  pages = {468-473 vol.1},
  endnotereftype = {Conference Proceedings},
  keywords = {control system analysis control system synthesis convex programming
	decentralised control interconnected systems optimal control sampled
	data systems stability complex interconnected systems controller
	synthesis decentralized control approach decentralized multirate
	controller design input-output performance lifting technique multirate
	sampled-data system},
  shorttitle = {Decentralized control approach to multi-rate sampled-data systems}
}

@BOOK{Bag93,
  author = {Bagchi, A.},
  title = {{O}ptimal {C}ontrol of {S}tochastic {S}ystems},
  year = {1993},
  publisher = {Prentice Hall},
  address = {New York, London, Toronto},
  endnotereftype = {Book},
  keywords = {stochastic},
  shorttitle = {Optimal Control of Stochastic Systems}
}

@INPROCEEDINGS{BakSen09,
  author = {Bakule, L. and de la Sen, M.},
  title = {{D}ecentralized stabilization of networked complex composite systems
	with nonlinear perturbations},
  booktitle = {Control and Automation, 2009. ICCA 2009. IEEE International Conference
	on},
  year = {2009},
  month = {9-11 Dec. 2009},
  pages = {2272-2277},
  endnotereftype = {Conference Proceedings},
  keywords = {closed loop systems continuous time systems control system synthesis
	convex programming decentralised control delays distributed control
	large-scale systems linear matrix inequalities nonlinear control
	systems reduced order systems sampled data systems stability state
	feedback time-varying systems LMI constraints closed-loop system
	communication delays convex optimization approach data-packet dropout
	decentralized stabilization low order control design model networked
	complex composite systems nonlinear perturbations reduced-order control
	design sampled-data delayed feedback state feedback controller time-varying
	delay},
  shorttitle = {Decentralized stabilization of networked complex composite systems
	with nonlinear perturbations}
}

@Article{Bal02,
  author         = {Balakrishan, V.},
  journal        = {IEEE T. Automat. Contr.},
  title          = {{L}aypunov functionals in complex $\mu$ analysis},
  year           = {2002},
  number         = {9},
  pages          = {1466-1479},
  volume         = {47},
  endnotereftype = {Journal Article},
  file           = {Bal02.pdf:Bal02.pdf:PDF;Bal02.pdf:Bal02.pdf:PDF},
  groups         = {SchVee18},
  keywords       = {iqc robust},
  shorttitle     = {Laypunov functionals in complex $/mu$ analysis},
}

@ARTICLE{Bal95,
  author = {Balakrishnan, V.},
  title = {{L}inear matrix inequalities in robustness analysis with multipliers},
  journal = {Syst. Control Lett.},
  year = {1995},
  volume = {25},
  number = {4},
  pages = {265-272},
  endnotereftype = {Journal Article},
  shorttitle = {Linear matrix inequalities in robustness analysis with multipliers}
}

@BOOK{Bal95a,
  author = {Balakrishnan, A.V.},
  title = {{I}ntroduction to {R}andom {P}rocesses in {E}gnineering},
  year = {1995},
  publisher = {John Wiley /\& Sons},
  endnotereftype = {Book},
  shorttitle = {Introduction to Random Processes in Egnineering}
}

@INPROCEEDINGS{BalBec92,
  author = {Balakrishnan, V. and Becker, G.},
  title = {{C}onvex analysis and approximation theory},
  booktitle = {Proc. Amer. Contr. Conf.},
  year = {1992},
  address = {Chicago, Illinois},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Convex analysis and approximation theory}
}

@ARTICLE{BalBoy91,
  author = {Balakrishnan, V. and Boyd, S. and Balemi, S.},
  title = {{B}ranch and {B}ound {A}lgorithm for {C}omputing the {M}inimum {S}tability
	{D}egree of {P}arameter-{D}ependent {L}inear {S}ystems},
  journal = {Int. J. Robust Nonlin.},
  year = {1991},
  volume = {1},
  pages = {295-317},
  endnotereftype = {Journal Article},
  shorttitle = {Branch and Bound Algorithm for Computing the Minimum Stability Degree
	of Parameter-Dependent Linear Systems}
}

@BOOK{BalChi04,
  author = {Balas, G. and Chiang, R. and Packard, A. and Safonov, M.},
  title = {{R}obust {C}ontrol {T}oobox ({V}ersion 3)},
  year = {2004},
  publisher = {The MathWorks Inc. and MYSYNC Inc.},
  endnotereftype = {Book},
  shorttitle = {Robust Control Toobox (Version 3)}
}

@BOOK{BalDoy95,
  author = {Balas, G.J. and Doyle, J.C. and Glover, K. and Packard, A. and Smith,
	R.},
  title = {$/mu$-analysis and synthesis toolbox},
  year = {1995},
  publisher = {The MathWorks Inc. and MYSYNC Inc.},
  endnotereftype = {Book},
  shorttitle = {$/mu$-analysis and synthesis toolbox}
}

@BOOK{BalGoh90,
  author = {Ball, J.A. and Gohberg, I. and Rodman, L.},
  title = {{I}nterpolation of {R}ational {M}atrix {F}unctions},
  year = {1990},
  volume = {45},
  publisher = {Birk\"auser},
  address = {Basel, Boston, Berlin},
  endnotereftype = {Book},
  shorttitle = {Interpolation of Rational Matrix Functions}
}

@ARTICLE{BalGro05,
  author = {Ball, J. and Groenewald, G. and Malakorn, T.},
  title = {{S}tructured {N}oncommutative {M}ultidimensional {L}inear {S}ystems},
  journal = {SIAM J. Contr. Optim.},
  year = {2005},
  endnotereftype = {Journal Article},
  file = {BalGro05.pdf::Djvu;BalGro05.pdf:BalGro05.pdf:PDF;BalGro05.pdf:BalGro05.pdf:PDF},
  keywords = {lfr robust multidimensional},
  shorttitle = {Structured Noncommutative Multidimensional Linear Systems}
}

@INCOLLECTION{BalGro05b,
  author = {Ball, J. and Groenewald, G. and Malakorn, T.},
  title = {{C}onservative {S}tructured {N}oncommutative {M}ultidimensional {L}inear
	{S}ystems},
  booktitle = {The State Space Method},
  year = {2005},
  volume = {OT 161},
  publisher = {Birkh\"auser},
  address = {Basel},
  endnotereftype = {Book Section},
  file = {BalGro05b.pdf::Djvu;BalGro05b.pdf:BalGro05b.pdf:PDF;BalGro05b.pdf:BalGro05b.pdf:PDF},
  keywords = {lfr robust multidimensional},
  shorttitle = {Conservative Structured Noncommutative Multidimensional Linear Systems}
}

@ARTICLE{BalGro05c,
  author = {Ball, J. and Groenewald, G. and Malakorn, T.},
  title = {{B}ounded {R}eal {L}emma {S}tructured {N}oncommutative {M}ultidimensional
	{L}inear {S}ystems and {R}obust {C}ontrol},
  journal = {preprint},
  year = {2005},
  endnotereftype = {Journal Article},
  file = {BalGro05c.ps::Djvu;BalGro05c.ps:BalGro05c.ps:PostScript},
  keywords = {lfr robust multidimensional},
  shorttitle = {{B}ounded {R}eal {L}emma Structured Noncommutative Multidimensional
	Linear Systems and Robust Control}
}

@INPROCEEDINGS{BalHua94,
  author = {Balakrishnan, V. and Huang, Y. and Packard, A. and Doyle, J.C.},
  title = {{L}inear matrix inequalities in analysis with multipliers},
  booktitle = {Proc. Amer. Contr. Conf.},
  year = {1994},
  pages = {1228-1232},
  address = {Baltimore, Maryland},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Linear matrix inequalities in analysis with multipliers}
}

@Article{BalVan03,
  author         = {Balakrishnan, V. and Vandenberghe, L.},
  journal        = {IEEE T. Automat. Contr.},
  title          = {{S}emidefinite programming duality and linear time-invariant systems},
  year           = {2003},
  month          = {Jan},
  number         = {1},
  pages          = {30-41},
  volume         = {48},
  endnotereftype = {Journal Article},
  file           = {BalVan03.pdf:BalVan03.pdf:PDF;BalVan03.pdf:BalVan03.pdf:PDF},
  groups         = {CSM20},
  shorttitle     = {Semidefinite programming duality and linear time-invariant systems},
}

@INPROCEEDINGS{BalVin05,
  author = {Ball, J. and Vinnikov, V.},
  title = {{NONCOMMUTATIVE} {LINEAR} {SYSTEM} {THEORY}, {FORMAL} {POWER} {SERIES}
	{IN} {NONCOMMUTING} {INDETERMINANTS} {AND} {APPLICATIONS}},
  booktitle = {Workshop on N-D Systems},
  year = {2005},
  address = {Wuppertal},
  endnotereftype = {Conference Proceedings},
  file = {BalVin05.pdf::Djvu;BalVin05.pdf:BalVin05.pdf:PDF;BalVin05.pdf:BalVin05.pdf:PDF},
  keywords = {lfr robust multidimensional},
  shorttitle = {NONCOMMUTATIVE LINEAR SYSTEM THEORY, FORMAL POWER SERIES IN NONCOMMUTING
	INDETERMINANTS AND APPLICATIONS}
}

@ARTICLE{BalWan99,
  author = {Balakrishan, v. and Wang, F.},
  title = {{E}fficient computation of a guaranteed lower bound on the robust
	stability margin for a class of uncertain systems},
  journal = {IEEE T. Automat. Contr.},
  year = {1999},
  volume = {44},
  number = {11},
  pages = {2185-2190},
  endnotereftype = {Journal Article},
  keywords = {robust iqc},
  shorttitle = {Efficient computation of a guaranteed lower bound on the robust stability
	margin for a class of uncertain systems}
}

@INPROCEEDINGS{Bam97,
  author = {Bamieh, B.},
  title = {{T}he structure of optimal controllers of spatially-invariant distributed
	parameter systems},
  booktitle = {Decision and Control, 1997., Proceedings of the 36th IEEE Conference
	on},
  year = {1997},
  volume = {2},
  month = {10-12 Dec 1997},
  pages = {1056-1061 vol.2},
  endnotereftype = {Conference Proceedings},
  keywords = {distributed parameter systems dynamics optimal control optimality
	criteria partial differential equations spatial invariance structure},
  shorttitle = {The structure of optimal controllers of spatially-invariant distributed
	parameter systems}
}

@ARTICLE{BamDah98,
  author = {Bamieh, B. and Dahleh, M.},
  title = {{O}n {R}obust {P}erformance in ${/cal H}^\infty$},
  journal = {Syst. Control Lett.},
  year = {1998},
  volume = {33},
  pages = {301-305},
  endnotereftype = {Journal Article},
  shorttitle = {On Robust Performance in ${/cal H}^\infty$}
}

@ARTICLE{BamJov12,
  author = {Bamieh, B. and Jovanovic, M. R. and Mitra, P. and Patterson, S.},
  title = {{C}oherence in {L}arge-{S}cale {N}etworks: {D}imension-{D}ependent
	{L}imitations of {L}ocal {F}eedback},
  journal = {IEEE T. Automat. Contr.},
  year = {2012},
  volume = {57},
  number = {9},
  pages = {2235-2249},
  issn = {0018-9286},
  endnotereftype = {Journal Article},
  file = {BamJov12.pdf:BamJov12.pdf:PDF},
  shorttitle = {Coherence in Large-Scale Networks: Dimension-Dependent Limitations
	of Local Feedback}
}

@ARTICLE{BamPag02,
  author = {Bamieh, B. and Paganini, F. and Dahleh, M. A.},
  title = {{D}istributed control of spatially invariant systems},
  journal = {IEEE T. Automat. Contr.},
  year = {2002},
  volume = {47},
  number = {7},
  pages = {1091-1107},
  issn = {0018-9286},
  endnotereftype = {Journal Article},
  file = {BamPag02.pdf:BamPag02.pdf:PDF},
  keywords = {H<sup>&infin </sup> control decentralised control distributed parameter
	systems linear quadratic control multidimensional systems robust
	control H<sub>&infin </sub> optimal controllers H<sub>2</sub> optimal
	controllers distributed control fully actuated control linear quadratic
	regulator optimal control performance criteria quadratic criteria
	spatially invariant systems standard finite-dimensional problems},
  shorttitle = {Distributed control of spatially invariant systems}
}

@ARTICLE{Bar00,
  author = {N. E. Barabanov},
  title = {{T}he state space extension method in the theory of absolute stability},
  journal = {IEEE Transactions on Automatic Control},
  year = {2000},
  volume = {45},
  number = {12},
  month = {Dec},
  pages = {2335-2339},
  issn = {0018-9286},
  doi = {10.1109/9.895569},
  file = {:Bar00.pdf:PDF},
  keywords = {absolute stability;frequency-domain analysis;nonlinear control systems;stability
	criteria;state-space methods;uncertain systems;absolute stability;frequency
	domain stability criteria;state space extension method;uncertainties;Compressors;Design
	methodology;Nonlinear dynamical systems;Nonlinear systems;Optimized
	production technology;Output feedback;Size control;Sparks;Stability;State-space
	methods}
}

@INPROCEEDINGS{Bar09,
  author = {Baranyi, P.},
  title = {{C}onvex hull generation methods for polytopic representations of
	{LPV} models},
  booktitle = {Applied Machine Intelligence and Informatics, 2009. SAMI 2009. 7th
	International Symposium on},
  year = {2009},
  month = {30-31 Jan. 2009},
  pages = {69-74},
  endnotereftype = {Conference Proceedings},
  keywords = {control system synthesis convex programming fuzzy systems linear matrix
	inequalities linear systems LPV models TS fuzzy model representation
	control design convex hull generation methods convex hull manipulation
	method linear matrix inequality linear parameter varying parallel
	distributed compensation control design polytopic representations
	qLPV models},
  shorttitle = {Convex hull generation methods for polytopic representations of LPV
	models}
}

@BOOK{Bar71,
  author = {Barnett, S.},
  title = {{M}atrices in {C}ontrol {T}heory},
  year = {1971},
  publisher = {van Nostrand Reinhold Company},
  address = {London},
  endnotereftype = {Book},
  shorttitle = {Matrices in Control Theory}
}

@ARTICLE{Bar85,
  author = {Barmish, B.R.},
  title = {{N}ecessary and sufficient conditions for quadratic stability of
	an uncertain system},
  journal = {Journal of Optimization Theory and Applications},
  year = {1985},
  volume = {46},
  number = {4},
  pages = {399-408},
  endnotereftype = {Journal Article},
  file = {Bar85.pdf:Bar85.pdf:PDF;Bar85.pdf:Bar85.pdf:PDF},
  shorttitle = {Necessary and sufficient conditions for quadratic stability of an
	uncertain system}
}

@BOOK{Bar94,
  author = {Barmish, B.R.},
  title = {{N}ew tools for robustness of linear systems},
  year = {1994},
  publisher = {Macmillan},
  address = {New York},
  endnotereftype = {Book},
  shorttitle = {New tools for robustness of linear systems}
}

@ARTICLE{BarBen03,
  author = {Barb, F. D. and Ben-Tal, A. and Nemirovski, A.},
  title = {{R}obust dissipativity of interval uncertain linear systems},
  journal = {{SIAM} Journal on Control and Optimization},
  year = {2003},
  volume = {41},
  number = {6},
  pages = {1661-1695},
  endnotereftype = {Journal Article},
  file = {BarTal03.pdf},
  keywords = {robust},
  shorttitle = {Robust dissipativity of interval uncertain linear systems}
}

@ARTICLE{BarCol06,
  author = {Bars, R. and Colaneri, P. and de Souza, C. E. and Dugard, L. and
	Allgower, F. and Kleimenov, A. and Scherer, C.},
  title = {{T}heory, algorithms and technology in the design of control systems},
  journal = {Annual Reviews in Control},
  year = {2006},
  volume = {30},
  number = {1},
  pages = {19-30},
  note = {086XN Times Cited:6 Cited References Count:12},
  issn = {1367-5788},
  abstract = {Control theory deals with disciplines and methods leading to an automatic
	decision process in order to improve the performance of a control
	system. The evolution of control engineering is closely related to
	the evolution of the technology of sensors and actuators, and to
	the theoretical controller design methods and numerical techniques
	to be applied in real-time computing. New control disciplines, new
	development in the technologies will fertilize quite new control
	application fields. The status report gives an overview of the current
	key problems in control theory and design, evaluates the recent major
	accomplishments and forecasts some new areas. Challenges for future
	theoretical work are modelling, analysis and design of systems in
	quite new applications fields. New effective real-time optimal algorithms
	are needed for 2D and 3D pattern recognition. Design of very large
	distributed systems has presented a new challenge to control theory
	including robust control. Control over the networks becomes an important
	application area. Virtual reality is developing in impressive rate
	arising new theoretical problems. Distributed hybrid control systems
	involving extremely large number of interacting control loops, coordinating
	large number of autonomous agents, handling very large model uncertainties
	will be in the center of future research. New achievements in bioinformatics
	will result in new applications. All these challenges need development
	of new theories, analysis and design methods. (C) 2006 Elsevier Ltd.
	All rights reserved.},
  endnotereftype = {Journal Article},
  file = {<Go to ISI>://000240706500004},
  keywords = {control theory current key problems recent achievements trends forecasts},
  shorttitle = {Theory, algorithms and technology in the design of control systems}
}

@INPROCEEDINGS{BarDaa02,
  author = {Bara, G.I. and Daafouz, J. and Ragot, J.},
  title = {{G}ain {S}cheduling {T}echniques for the {D}esign of {O}bserver {S}tate
	{F}eedback {C}ontrollers},
  booktitle = {15th {IFAC} World Congres},
  year = {2002},
  address = {Barcelona},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/BarDaa02.pdf:Djvu;BarDaa02.pdf:BarDaa02.pdf:PDF;BarDaa02.pdf:BarDaa02.pdf:PDF},
  keywords = {lpv},
  shorttitle = {Gain Scheduling Techniques for the Design of Observer State Feedback
	Controllers}
}

@ARTICLE{BarGhu96,
  author = {Barabanov, A.E. and Ghulchak, A.M.},
  title = {{$H^\infty$} optimization problem with sign-indefinite quadratic
	form},
  journal = {Syst. Control Lett.},
  year = {1996},
  volume = {29},
  pages = {157-164},
  endnotereftype = {Journal Article},
  file = {BarGhu96.pdf:BarGhu96.pdf:PDF;BarGhu96.pdf:BarGhu96.pdf:PDF},
  shorttitle = {{$H^\infty$} optimization problem with sign-indefinite quadratic form}
}

@ARTICLE{BarKan93,
  author = {Barmish, B.R. and Kang, H.I.},
  title = {{A} survey of extreme point results for robustness of control systems},
  journal = {Automatica},
  year = {1993},
  volume = {29},
  number = {1},
  pages = {13-35},
  endnotereftype = {Journal Article},
  shorttitle = {A survey of extreme point results for robustness of control systems}
}

@INPROCEEDINGS{BarKha89,
  author = {Barmish, B. and Khargonekar, P. and Shi, Z.C. and Tempo, R.},
  title = {{A} pitfall in some of the robust control literature},
  booktitle = {Proc. 28th IEEE Conf. Decision and Control},
  year = {1989},
  pages = {2273-2277},
  address = {Tampa, FL},
  endnotereftype = {Conference Proceedings},
  file = {BarKha89.pdf::Djvu;BarKha89.pdf:BarKha89.pdf:PDF;BarKha89.pdf:BarKha89.pdf:PDF},
  keywords = {robust},
  shorttitle = {A pitfall in some of the robust control literature}
}

@ARTICLE{BarOrt02,
  author = {Barabanov, N.E. and Ortega, R.},
  title = {{C}onditions for solvability of extended algebraic riccati equations
	with applications to dissipativity theory},
  journal = {European Journal of Control},
  year = {2002},
  volume = {8},
  number = {3},
  month = {2002///},
  pages = {251-264},
  note = {TY - JOUR Cited By (since 1996): 1 Export Date: 15 October 2007 Source:
	Scopus},
  endnotereftype = {Journal Article},
  file = {http://www.scopus.com/scopus/inward/record.file?eid=2-s2.0-2442709928&partnerID=40&rel=R6.5.0},
  shorttitle = {Conditions for solvability of extended algebraic riccati equations
	with applications to dissipativity theory}
}

@BOOK{BarPre78,
  author = {Barbu, V. and Precupanu, Th.},
  title = {{C}onvexity and {O}ptimization in {B}anach {S}paces},
  year = {1978},
  publisher = {Editura Academiei},
  address = {Bucarest, Romania},
  endnotereftype = {Book},
  shorttitle = {Convexity and Optimization in Banach Spaces}
}

@ARTICLE{BarPro03,
  author = {Barabanov, N.E. and Prokhorov, D.V.},
  title = {{A} {N}ew {M}ethod for {S}tability {A}nalysis of {N}onlinear {D}iscrete-{T}ime
	{S}ystems},
  journal = {IEEE T. Automat. Contr.},
  year = {2003},
  volume = {48},
  number = {12},
  month = {2003///},
  pages = {2250-2255},
  note = {TY - JOUR Cited By (since 1996): 5 Export Date: 15 October 2007 Source:
	Scopus},
  endnotereftype = {Journal Article},
  file = {http://www.scopus.com/scopus/inward/record.file?eid=2-s2.0-0346686091&partnerID=40&rel=R6.5.0},
  shorttitle = {A New Method for Stability Analysis of Nonlinear Discrete-Time Systems}
}

@InBook{Bas01,
  pages     = {389-421},
  title     = {{D}issipative {D}ynamical {S}ystems{P}art {I}: {G}eneral {T}heory},
  publisher = {Wiley-IEEE Press},
  year      = {2001},
  author    = {Tamer Basar},
  isbn      = {9780470544334},
  booktitle = {Control Theory:Twenty-Five Seminal Papers (1932-1981)},
  doi       = {10.1109/9780470544334.ch20},
  groups    = {Fetzer},
  owner     = {mst},
}

@ARTICLE{BasCev00,
  author = {Baser, U. and Cevik, M. K. K. and Schumacher, J. M.},
  title = {{D}isturbance decoupling and robustness of stability},
  journal = ijrn,
  year = {2000},
  volume = {10},
  number = {15},
  pages = {1317-1336},
  abstract = {The problem of finding a feedback compensator to cancel the effect
	of disturbances on the system output is known as disturbance decoupling.
	We investigate the interaction of disturbance decoupling requirement
	with the robustness of closed-loop stability in the sense of normalized
	coprime factor perturbations. This disturbance decoupling and the
	robust stabilization requirements are expressed in terms of the subspace-valued
	functions associated with the plant and the controller and an upper
	bound on robustness of stability imposed by the disturbance decoupling
	requirement is derived. This is then compared with the actual robustness
	of stability that can be achieved by a solution of the disturbance
	decoupling problem under some simplifying assumptions.},
  endnotereftype = {Journal Article},
  shorttitle = {Disturbance decoupling and robustness of stability}
}

@ARTICLE{BatMos10,
  author = {Battistelli, G. and Mosca, E. and Safonov, M. G. and Tesi, P.},
  title = {{S}tability of {U}nfalsified {A}daptive {S}witching {C}ontrol in
	{N}oisy {E}nvironments},
  journal = {IEEE T. Automat. Contr.},
  year = {2010},
  volume = {55},
  number = {10},
  month = {Oct},
  pages = {2424-2429},
  note = {669PL Times Cited:0 Cited References Count:16},
  issn = {0018-9286},
  abstract = {In recent years, unfalsified adaptive switching control has emerged
	as a promising technique for the control of uncertain plants only
	on the basis of plant I/O data. This note analyzes the input-output
	stability of the resulting switched system in a noisy environment,
	and discusses the issue of equivalence among different input-output
	stability notions.},
  endnotereftype = {Journal Article},
  file = {<Go to ISI>://000283362600026},
  keywords = {adaptive control control of uncertain plants switching supervisory
	control supervisory control uncertain systems},
  shorttitle = {Stability of Unfalsified Adaptive Switching Control in Noisy Environments}
}

@INPROCEEDINGS{BauDon10,
  author = {Bauer, N. W. and Donkers, M. C. F. and Heemels, W. P. M. H. and van
	de Wouw, N.},
  title = {{A}n approach to observer-based decentralized control under periodic
	protocols},
  booktitle = {Proc. American Control Conf.},
  year = {2010},
  month = {June 30 2010-July 2 2010},
  isbn = {0743-1619},
  pages = {2125-2131},
  endnotereftype = {Conference Proceedings},
  keywords = {closed loop systems control system synthesis decentralised control
	discrete time systems large-scale systems linear matrix inequalities
	linear systems observers robust control LMI closed loop system discrete
	time linear system information transmission large scale linear plant
	network communication constraint observer based decentralized control
	periodic protocol polytopic overapproximation posteriori analysis
	robust stability switched linear system},
  shorttitle = {An approach to observer-based decentralized control under periodic
	protocols}
}

@ARTICLE{BeaLai98,
  author = {Beard, R.W. and McLain, T.W.},
  title = {{S}uccessive {G}alerkin approximation algorithms for nonlinear optimal
	and robust control},
  journal = {International Journal of Control},
  year = {1998},
  volume = {71},
  number = {5},
  pages = {717-744},
  endnotereftype = {Journal Article},
  file = {BeaLai98.pdf::Djvu;BeaLai98.pdf:BeaLai98.pdf:PDF;BeaLai98.pdf:BeaLai98.pdf:PDF},
  keywords = {HJB},
  shorttitle = {Successive Galerkin approximation algorithms for nonlinear optimal
	and robust control}
}

@ARTICLE{BecDan04,
  author = {Beck, C.L. and D'Andrea, R.},
  title = {{N}oncommuting {M}ulti-{D}imensional {S}ystem {R}ealization {T}heory:
	{M}inimality, {R}eachability and {O}bservability},
  journal = {IEEE T. Automat. Contr.},
  year = {2004},
  volume = {49},
  number = {10},
  pages = {1815-1820},
  endnotereftype = {Journal Article},
  file = {BecDan04.pdf:BecDan04.pdf:PDF},
  keywords = {lfr},
  shorttitle = {Noncommuting Multi-Dimensional System Realization Theory: Minimality,
	Reachability and Observability}
}

@ARTICLE{BecDoy99,
  author = {Beck, C.L. and Doyle, J.},
  title = {{A} necessary and sufficient minimality condition for uncertain systems},
  journal = {IEEE T. Automat. Contr.},
  year = {1999},
  volume = {44},
  number = {10},
  pages = {1802-1813},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/BecDoy99.pdf:Djvu;BecDoy99.pdf:BecDoy99.pdf:PDF;BecDoy99.pdf:BecDoy99.pdf:PDF},
  keywords = {lfr},
  shorttitle = {A necessary and sufficient minimality condition for uncertain systems}
}

@INPROCEEDINGS{BecPac93,
  author = {Becker, G. and Packard, A. and Philbrick, D. and Balas, G.},
  title = {{Control of Parametrically-Dependent Linear Systems: A Single Quadratic
	Lyapunov Approach}},
  booktitle = {Proc. Amer. Contr. Conf.},
  year = {1993},
  pages = {2795-2799},
  address = {San Francisco, CA},
  endnotereftype = {Conference Proceedings},
  shorttitle = {{Control of Parametrically-Dependent Linear Systems: A Single Quadratic
	Lyapunov Approach}}
}

@ARTICLE{BecPac94,
  author = {Becker, G. and Packard, A.},
  title = {{R}obust performance of linear parametrically varying systems using
	parametrically dependent linear feedback},
  journal = {Syst. Control Lett.},
  year = {1994},
  volume = {23},
  pages = {205-215},
  endnotereftype = {Journal Article},
  shorttitle = {Robust performance of linear parametrically varying systems using
	parametrically dependent linear feedback}
}

@ARTICLE{BemCos96,
  author = {Bemporad, A. and Cosavola, A. and Mosca, E.},
  title = {{N}onlinear control of constrained linear systems via predictive
	reference management},
  journal = {IEEE T. Automat. Contr.},
  year = {1996},
  volume = {42},
  pages = {340-349},
  endnotereftype = {Journal Article},
  keywords = {constraints},
  shorttitle = {Nonlinear control of constrained linear systems via predictive reference
	management}
}

@ARTICLE{BemTee04,
  author = {Bemporad, Alberto and Teel, Andrew R. and Zaccarian, Luca},
  title = {{A}nti-windup synthesis via sampled-data piecewise affine optimal
	control},
  journal = {Automatica},
  year = {2004},
  volume = {40},
  number = {4},
  month = {2004/4},
  pages = {549-562},
  endnotereftype = {Journal Article},
  file = {BemTee04.pdf::Djvu;BemTee04.pdf:BemTee04.pdf:PDF;BemTee04.pdf:BemTee04.pdf:PDF},
  shorttitle = {Anti-windup synthesis via sampled-data piecewise affine optimal control}
}

@ARTICLE{BenFow85,
  author = {Bender, D.J. and Fowell, R.A.},
  title = {{C}omputing the {E}stimator-{C}ontroller {F}orm of a {C}ompensator},
  journal = {International Journal of Control},
  year = {1985},
  volume = {41},
  pages = {1565-1575},
  endnotereftype = {Journal Article},
  shorttitle = {Computing the Estimator-Controller Form of a Compensator}
}

@BOOK{BenNem01,
  author = {Ben-{T}al, A. and Nemirovski, A.},
  title = {{L}ectures on {M}odern {C}onvex {O}ptimization: {A}nalysis, {A}lgorithms,
	and {E}ngineering {A}pplications},
  year = {2001},
  series = {SIAM-MPS Series in Optimizaton},
  publisher = {SIAM Publications},
  isbn = {0898714915},
  address = {Philadelphia},
  endnotereftype = {Book},
  shorttitle = {Lectures on Modern Convex Optimization: Analysis, Algorithms, and
	Engineering Applications}
}

@ARTICLE{BenNem02,
  author = {Ben-{T}al, A. and Nemirovski, A. and Roos, C.},
  title = {{R}obust {S}olutions of {U}ncertain {Q}uadratic and {C}onic-{Q}uadratic
	{P}roblems},
  journal = {SIAM J. Optim.},
  year = {2002},
  volume = {13},
  number = {2},
  pages = {535-560},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/BenNem02.pdf:Djvu;BenNem02.pdf:BenNem02.pdf:PDF;BenNem02.pdf:BenNem02.pdf:PDF},
  keywords = {sdp},
  shorttitle = {Robust Solutions of Uncertain Quadratic and Conic-Quadratic Problems}
}

@ARTICLE{BenNem02b,
  author = {Ben-{T}al, A. and Nemirovski, A.},
  title = {{O}n tractable approximations of uncertain {L}inear {M}atrix {I}nequalities
	affected by interval uncertainty},
  journal = {SIAM J. Optim.},
  year = {2002},
  volume = {12},
  number = {3},
  pages = {811-833},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/BenNem02b.pdf:Djvu;BenNem02b.pdf:BenNem02b.pdf:PDF;BenNem02b.pdf:BenNem02b.pdf:PDF},
  keywords = {relaxation},
  shorttitle = {On tractable approximations of uncertain {L}inear {M}atrix {I}nequalities
	affected by interval uncertainty}
}

@ARTICLE{BenSto05,
  author = {Bendtsen, J. D. and Stoustrup, J. and Trangbaek, K.},
  title = {{B}umpless transfer between observer-based gain scheduled controllers},
  journal = {International Journal of Control},
  year = {2005},
  volume = {78},
  number = {7},
  pages = {491-504},
  endnotereftype = {Journal Article},
  file = {BenSto05.pdf::Djvu;BenSto05.pdf:BenSto05.pdf:PDF;BenSto05.pdf:BenSto05.pdf:PDF},
  keywords = {gain-scheduling},
  shorttitle = {Bumpless transfer between observer-based gain scheduled controllers}
}

@ARTICLE{BenTra01,
  author = {Bendtsen, J.D. and Trangb?��?��k, K.},
  title = {{C}omments on "lur'e systems with multilayer perceptron and recurrent
	neural networks: {A}bsolute stability and dissipativity"},
  journal = {IEEE T. Automat. Contr.},
  year = {2001},
  volume = {46},
  number = {4},
  month = {2001///},
  pages = {671},
  note = {TY - JOUR Export Date: 15 October 2007 Source: Scopus},
  endnotereftype = {Journal Article},
  file = {http://www.scopus.com/scopus/inward/record.file?eid=2-s2.0-19244380691&partnerID=40&rel=R6.5.0:},
  shorttitle = {Comments on "lur'e systems with multilayer perceptron and recurrent
	neural networks: Absolute stability and dissipativity"}
}

@ARTICLE{BenWil98,
  author = {Bennani, S. and Willemsen, D.M.C. and Scherer, C.W.},
  title = {{R}obust {C}ontrol of {L}inear {P}arametrically {V}arying {S}ystems
	with {B}ounded {R}ates},
  journal = {Journal of Guid. Contr. and Dyn.},
  year = {1998},
  volume = {21},
  pages = {916-922},
  endnotereftype = {Journal Article},
  keywords = {lpv},
  shorttitle = {Robust Control of Linear Parametrically Varying Systems with Bounded
	Rates}
}

@BOOK{Ber03,
  author = {Bertsekas, D.P.},
  title = {{C}onvex analysis and optimization},
  year = {2003},
  publisher = {Athena Scientific},
  address = {Belmont, Massachusetts},
  endnotereftype = {Book},
  keywords = {convex},
  shorttitle = {Convex analysis and optimization}
}

@INCOLLECTION{Ber87,
  author = {Berg, C.},
  editor = {Landau, H.J.},
  title = {{T}he multidimensional moment problem and semigroups},
  booktitle = {Moments in Mathematics},
  year = {1987},
  volume = {37},
  publisher = {American Mathematical Society},
  pages = {154},
  address = {Providence, Rhode Island},
  endnotereftype = {Book Section},
  keywords = {moments},
  shorttitle = {The multidimensional moment problem and semigroups},
  type = {Survey on relevance of multidimensional moment problems and relation
	to operator theory (harmonic analysis).}
}

@ARTICLE{BerFoi96,
  author = {Berkovici, H. and Foias, C. and Tannenbaum, A.},
  title = {{T}he {S}tructured {S}ingular {V}alue for {L}inear {I}nput/{O}utput
	{O}perators},
  journal = {SIAM J. Contr. Optim.},
  year = {1996},
  volume = {34},
  number = {4},
  pages = {1392-1404},
  endnotereftype = {Journal Article},
  file = {BerFoi96.pdf:PDF},
  shorttitle = {The Structured Singular Value for Linear Input/Output Operators}
}

@INPROCEEDINGS{BerGar92,
  author = {Bernussou, J. and Garcia, G. and Arzelier, D.},
  title = {{R}obust constrained control by quadratic stability},
  booktitle = {Decision and Control, 1992., Proceedings of the 31st IEEE Conference
	on},
  year = {1992},
  month = {1992},
  pages = {1433-1438 vol.2},
  endnotereftype = {Conference Proceedings},
  keywords = {convex programming decentralised control feedback linear systems optimal
	control stability constrained control decentralized control dynamic
	output control full linear state feedback parametrical convex optimization
	problem quadratic stability robust control stabilizing gain static
	output control structural uncertainty uncertain linear systems H<sup>&infin
	</sup> control synthesis H<sup>&infin </sup> norm bound constraint},
  shorttitle = {Robust constrained control by quadratic stability}
}

@ARTICLE{BerHad89,
  author = {Bernstein, D.S and Haddad, W.M},
  title = {{LQG} control with an {$H^\infty$} performance bound: {A} {Riccati}
	equation approach},
  journal = {IEEE T. Automat. Contr.},
  year = {1989},
  volume = {34},
  pages = {293-305},
  endnotereftype = {Journal Article},
  shorttitle = {{LQG} control with an {$H^\infty$} performance bound: A {Riccati}
	equation approach}
}

@ARTICLE{BerPer89,
  author = {Bernussou, J. and Peres, P.L.D. and Geromel, J.C.},
  title = {{A} linear programming oriented procedure for quadratic stabilization
	of uncertain systems},
  journal = {Syst. Control Lett.},
  year = {1989},
  volume = {13},
  pages = {65-72},
  endnotereftype = {Journal Article},
  shorttitle = {{A} linear programming oriented procedure for quadratic stabilization
	of uncertain systems}
}

@ARTICLE{BerWor01,
  author = {Berr, R. and W\"orman, T.},
  title = {{P}ositive polynomials on compact sets},
  journal = {Manuscripta Mathematica},
  year = {2001},
  volume = {104},
  number = {2},
  pages = {135-143},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/BerWor01.pdf:Djvu;BerWor01.pdf:BerWor01.pdf:PDF;BerWor01.pdf:BerWor01.pdf:PDF},
  keywords = {sos},
  shorttitle = {Positive polynomials on compact sets}
}

@INPROCEEDINGS{BesEma06,
  author = {Besheer, A. H. and Emara, H. M. and Aziz, M. M. A.},
  title = {{A}n {LMI} {A}pproach to {F}uzzy {P}ole {C}luster for {R}egulating
	{W}ind {E}nergy {C}onversion {S}ystem},
  booktitle = {IEEE Industrial Electronics, IECON 2006 - 32nd Annual Conference
	on},
  year = {2006},
  month = {6-10 Nov. 2006},
  isbn = {1553-572X},
  pages = {4367-4372},
  endnotereftype = {Conference Proceedings},
  keywords = {closed loop systems compensation control system synthesis convex programming
	electric current control feedback fuzzy control linear matrix inequalities
	nonlinear control systems pole assignment power station control wind
	power wind power plants DC current regulation LMI approach Takagi-Sugeno
	fuzzy model closed loop damping closed loop pole location convex
	optimization techniques fuzzy pole cluster fuzzy state feedback controller
	nonlinear system parallel-distributed compensation power flow transient
	behaviour wind energy conversion system},
  shorttitle = {An LMI Approach to Fuzzy Pole Cluster for Regulating Wind Energy Conversion
	System}
}

@INPROCEEDINGS{BesEma09,
  author = {Besheer, A. H. and Emara, H. R.},
  title = {{R}elaxed {LMI} based designs for {T}akagi {S}ugeno fuzzy regulators
	and observers poly-quadratic lyapunov function approach},
  booktitle = {Systems, Man and Cybernetics, 2009. SMC 2009. IEEE International
	Conference on},
  year = {2009},
  month = {11-14 Oct. 2009},
  isbn = {1062-922X},
  pages = {3041-3046},
  endnotereftype = {Conference Proceedings},
  keywords = {Lyapunov methods closed loop systems continuous systems control system
	synthesis fuzzy control linear matrix inequalities observers stability
	state feedback PDC control Takagi Sugeno fuzzy regulator closed loop
	continuous time Takagi-Sugeno fuzzy system fuzzy Lyapunov function
	linear matrix inequality membership function output feedback fuzzy
	control parallel distributed compensation design polyLyapunov function
	polyquadratic Lyapunov function approach relaxed LMI based design
	stability condition stabilization control problem state feedback
	fuzzy control sufficient conditions},
  shorttitle = {Relaxed LMI based designs for Takagi Sugeno fuzzy regulators and observers
	poly-quadratic lyapunov function approach}
}

@BOOK{BhaCha95,
  author = {Bhattacharyya, S. and Chapellat, H. and Keel, L.},
  title = {{R}obust control: the parametric approach},
  year = {1995},
  publisher = {Prentice Hall},
  address = {Upper Saddle River, New Jersey},
  endnotereftype = {Book},
  shorttitle = {Robust control: the parametric approach}
}

@ARTICLE{BiaTes01,
  author = {Bianchini, G. and Tesi, A. and Vicino, A.},
  title = {{S}ynthesis of {R}obust {S}trictly {P}ositive {R}eal {S}ystems with
	$l_2$ {P}arametric {U}ncertainty},
  journal = {IEEE Transactions on Circuits and Systems I-Fundamental Theory and
	Applications},
  year = {2001},
  volume = {48},
  number = {4},
  pages = {438-450},
  endnotereftype = {Journal Article},
  file = {BiaTes01.pdf::Djvu;BiaTes01.pdf:BiaTes01.pdf:PDF;BiaTes01.pdf:People\\BiaTes01.pdf:PDF;BiaTes01.pdf:BiaTes01.pdf:PDF},
  shorttitle = {Synthesis of Robust Strictly Positive Real Systems with $l_2$ Parametric
	Uncertainty}
}

@ARTICLE{Bla95,
  author = {Blanchini, F.},
  title = {{N}onquadratic {L}yapunov functions for robust control},
  journal = {Automatica},
  year = {1995},
  volume = {31},
  number = {3},
  pages = {451-461},
  abstract = {This paper deals with the problem of controlling a linear continuous-time
	system with structured time-varying parameter uncertainties and input
	disturbances with a Lyapunov-function approach. In contrast with
	most of the previous results in the literature, the author does not
	confine his attention to the class of quadratic Lyapunov functions.
	Conversely, the basic motivation of this paper is to determine whether
	there exist other functions that can be conveniently used as candidate
	Lyapunov functions. This question has a positive answer: the proposed
	class is that of polyhedral norms or, more generally, of polyhedral
	Minkowski functionals. The author shows that the class of these functions
	is universal in the sense that if the problem of ultimately bounding
	the state in an assigned convex set via state feedback control can
	be solved via a Lyapunov function and a continuous state-feedback
	compensator then it can be solved via a polyhedral Lyapunov function
	and a (possibly different) continuous control. Moreover, it is shown
	that the control can be piecewise linear. A numerical technique for
	constructing the controller is presented for the case in which the
	uncertainty constraint sets are polyhedral.},
  endnotereftype = {Journal Article},
  keywords = {Lyapunov},
  shorttitle = {Nonquadratic {L}yapunov functions for robust control}
}

@ARTICLE{Bla95b,
  author = {Blanchini, F. and Sznaier, M.},
  title = {{P}ersistent {D}isturbance {R}ejection {V}ia {S}tatic {S}eedback},
  journal = {IEEE T. Automat. Contr.},
  year = {1995},
  volume = {40},
  pages = {1127-1131},
  endnotereftype = {Journal Article},
  shorttitle = {Persistent Disturbance Rejection Via Static Seedback}
}

@INPROCEEDINGS{Bla99,
  author = {Blanchini, F.},
  title = {{T}he gain scheduling and the robust state feedback stabilization
	problems},
  booktitle = {Proc. 38th IEEE Conf. Decision and Control},
  year = {1999},
  pages = {1821-1826},
  address = {Phoenix, Arizona},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/Bla99.pdf:Djvu;Bla99.pdf:Bla99.pdf:PDF;Bla99.pdf:Bla99.pdf:PDF},
  keywords = {lpv robust},
  shorttitle = {The gain scheduling and the robust state feedback stabilization problems}
}

@INPROCEEDINGS{Bli01,
  author = {Bliman, P.~A.},
  title = {{N}onconservative {LMI} criteria for delay-independent stability
	systems, based on quadratic {L}yapunov-{K}rasovskii functionals},
  booktitle = {Proc. 40th IEEE Conf. Decision and Control},
  year = {2001},
  pages = {1427-1432},
  address = {Orlando, FL},
  endnotereftype = {Conference Proceedings},
  file = {Bli01.pdf:Bli01.pdf:PDF;Bli01.pdf:Bli01.pdf:PDF},
  keywords = {delay mu},
  shorttitle = {Nonconservative {LMI} criteria for delay-independent stability systems,
	based on quadratic Lyapunov-Krasovskii functionals}
}

@CONFERENCE{Bli04,
  author = {Bliman, P.~A.},
  editor = {B. De Moor, B. Motmans},
  title = {{O}n robust semidefinite programming},
  booktitle = {Proceedings MTNS 2004},
  year = {2004},
  address = {Leuven, Belgium},
  endnotereftype = {Conference Proceedings},
  file = {Bli04.pdf:Bli04.pdf:PDF;Bli04.pdf:Register!\\Bli04.pdf:PDF;Bli04.pdf:Bli04.pdf:PDF},
  shorttitle = {On robust semidefinite programming}
}

@BOOK{Boa54,
  author = {Boas, R.},
  title = {{E}ntire functions},
  year = {1954},
  publisher = {Academic Press},
  address = {New York},
  endnotereftype = {Book},
  keywords = {analysis},
  shorttitle = {Entire functions}
}

@ARTICLE{BomApk08,
  author = {Bompart, Vincent and Apkarian, Pierre and Noll, Dominikus},
  title = {{C}ontrol design in the time and frequency domain using nonsmooth
	techniques},
  journal = {Syst. Contr. Letters},
  year = {2008},
  volume = {57},
  number = {3},
  pages = {271-282},
  note = {doi: DOI: 10.1016/j.sysconle.2007.09.001},
  issn = {0167-6911},
  endnotereftype = {Journal Article},
  file = {http://www.sciencedirect.com/science/article/B6V4X-4R05J15-1/2/facd78e63d2ed36014249e3725bafdd2:Djvu;BomApk08.pdf:BomApk08.pdf:PDF;BomApk08.pdf:BomApk08.pdf:PDF},
  keywords = {Nonsmooth optimization H[infinity] synthesis Structured controllers
	PID tuning Time-domain constraints Fault tolerance control Time response
	shaping},
  shorttitle = {Control design in the time and frequency domain using nonsmooth techniques}
}

@BOOK{BooHol93,
  author = {Boor, C. de and H\"ollig, K. and Riemenschneider, S.},
  title = {{B}ox {S}plines},
  year = {1993},
  publisher = {Springer-Verlag},
  address = {New York},
  endnotereftype = {Book},
  shorttitle = {Box Splines}
}

@ARTICLE{BorKev2008,
  author = {Borrelli, F. and T. Keviczky},
  title = {{D}istributed {LQR} {D}esign for {I}dentical {D}ynamically {D}ecoupled
	{S}ystems},
  journal = {IEEE T. Automat. Contr.},
  year = {2008},
  volume = {53},
  number = {8},
  pages = {1901-1912},
  issn = {0018-9286},
  endnotereftype = {Journal Article},
  file = {BorKev08.pdf:BorKev08.pdf:PDF},
  keywords = {distributed},
  shorttitle = {Decentralized Robust Control Invariance for a Network of Storage Devices}
}

@BOOK{BotGru00,
  author = {B\"ottcher, A. and Grudsky, S.M.},
  title = {{T}oeplitz matrices, asymptotic linear algebra, and functional analysis},
  year = {2000},
  note = {Relevant for efficient lower bound computations.},
  publisher = {Birkh\"auser},
  isbn = {3-7643-6290-1},
  address = {Basel},
  endnotereftype = {Book},
  keywords = {Toeplitz},
  shorttitle = {Toeplitz matrices, asymptotic linear algebra, and functional analysis}
}

@BOOK{BotSil97,
  author = {B\"ottcher, A. and Silbermann, B.},
  title = {{I}ntroduction to large truncated {T}oeplitz matrices},
  year = {1997},
  publisher = {Springer},
  address = {New York},
  endnotereftype = {Book},
  shorttitle = {Introduction to large truncated {T}oeplitz matrices}
}

@ARTICLE{BouFer97,
  author = {Boussios, C. and Feron, E.},
  title = {{E}stimating the conservatism of {P}opov's criterion for real parametric
	uncertainties},
  journal = {Syst. Control Lett.},
  year = {1997},
  volume = {31},
  pages = {173-183},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/BouFer97.pdf:Djvu;BouFer97.pdf:BouFer97.pdf:PDF;BouFer97.pdf:BouFer97.pdf:PDF},
  keywords = {relaxation},
  shorttitle = {Estimating the conservatism of {P}opov's criterion for real parametric
	uncertainties}
}

@INPROCEEDINGS{BoyBal93,
  author = {Boyd, S. and Balakrishnan, V. and Feron, E. and El~Ghaoui, L.},
  title = {{C}ontrol system analysis and synthesis via linear matrix inequalities},
  booktitle = {Proc. Amer. Contr. Conf.},
  year = {1993},
  pages = {2147-2154},
  address = {San Francisco, CA},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Control system analysis and synthesis via linear matrix inequalities}
}

@BOOK{BoyBar91,
  author = {Boyd, S.P. and Barratt, G.H.},
  title = {{L}inear {C}ontroller {D}esign - {L}imits of {P}erformance},
  year = {1991},
  publisher = {Prentice-Hall},
  address = {Englewood Cliffs, New Jersey},
  endnotereftype = {Book},
  shorttitle = {Linear Controller Design - Limits of Performance}
}

@ARTICLE{BoyChu85,
  author = {Boyd, S. and Chua, L.},
  title = {{F}ading memory and the problem of approximating nonlinear operators
	with {V}olterra series},
  journal = {Circuits and Systems, IEEE Transactions on},
  year = {1985},
  volume = {32},
  number = {11},
  pages = {1150-1161},
  note = {TY - JOUR},
  issn = {0098-4094},
  abstract = {Using the notion of fading memory we prove very strong versions of
	two folk theorems. The first is that any time-invariant (TI) continuous
	nonlinear operator can be approximated by a Volterra series operator,
	and the second is that the approximating operator can be realized
	as a finite-dimensional linear dynamical system with a nonlinear
	readout map. While previous approximation results are valid over
	finite time intervals and for signals in compact sets, the approximations
	presented here hold for all time and for signals in useful (noncompact)
	sets. The discretetime analog of the second theorem asserts that
	any TI operator with fading memory can be approximated (in our strong
	sense) by a nonlinear moving- average operator. Some further discussion
	of the notion of fading memory is given.},
  endnotereftype = {Journal Article},
  file = {BoyChu85.pdf::Djvu;BoyChu85.pdf:BoyChu85.pdf:PDF;BoyChu85.pdf:BoyChu85.pdf:PDF},
  keywords = {Approximation methods Nonlinear circuits and systems Operator theory
	Volterra series},
  shorttitle = {Fading memory and the problem of approximating nonlinear operators
	with Volterra series}
}

@INPROCEEDINGS{BoyFer94,
  author = {Boyd, S. and Feron, E. and Balakrishnan, V. and {El~Ghaoui}, L.},
  title = {{H}istory of linear matrix inequalities in control theory},
  booktitle = {Proc. Amer. Contr. Conf.},
  year = {1994},
  pages = {31-34},
  address = {Baltimore, Maryland},
  endnotereftype = {Conference Proceedings},
  shorttitle = {History of linear matrix inequalities in control theory}
}

@Book{BoyGha94,
  author         = {Boyd, S.P. and {El~Ghaoui}, L. and Feron, E. and Balakrishan, V.},
  publisher      = {SIAM},
  title          = {{L}inear matrix inequalities in system and control theory},
  year           = {1994},
  address        = {Philadelphia},
  series         = {SIAM Studies in Applied Mathematics 15},
  endnotereftype = {Book},
  file           = {:Books/Control/People/Boyd/BoyGha94.pdf:PDF},
  shorttitle     = {Linear matrix inequalities in system and control theory},
}

@Book{BoyVan04,
  author         = {Boyd, S. and Vandenberghe, L.},
  publisher      = {Cambridge University Press},
  title          = {{C}onvex {O}ptimization},
  year           = {2004},
  address        = {Cambridge},
  endnotereftype = {Book},
  file           = {:Books/Mathematics/Optimization/BoyVan04.pdf:PDF},
  shorttitle     = {Convex Optimization},
}

@ARTICLE{BoyVan96,
  author = {Boyd, S. and Vandenberghe, L.},
  title = {{S}emidefinite programming},
  journal = {SIAM Review},
  year = {1996},
  volume = {38},
  number = {1},
  pages = {49-95},
  abstract = {In semidefinite programming we minimize a linear function subject
	to the constraint that an affine combination of symmetric matrices
	is positive semidefinite. Such a constraint is nonlinear and nonsmooth,
	but convex, so positive definite programs are convex optimization
	problems. Semidefinite programming unifies several standard problems
	(/eg, linear and quadratic programming) and finds many applications
	in engineering. Although semidefinite programs are much more general
	than linear programs, they are just as easy to solve. Most interior-point
	methods for linear programming have been generalized to semidefinite
	programs. As in linear programming, these methods have polynomial
	worst-case complexity, and perform very well in practice. This paper
	gives a survey of the theory and applications of semidefinite programs,
	and an introduction to primal-dual interior-point methods for their
	solution.},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/BoyVan96.ps:Djvu;BoyVan96.pdf:BoyVan96.pdf:PDF;BoyVan96.ps:BoyVan96.ps:PostScript;BoyVan96.pdf:BoyVan96.pdf:PDF},
  publisher = {Kluwer},
  shorttitle = {Semidefinite programming}
}

@INCOLLECTION{BoyVan97,
  author = {Boyd, S. and Vandenberghe, L.},
  editor = {Paulraj, A. and Roychowdhuri, V. and Schaper, C.},
  title = {{S}emidefinite programming relaxations of non-convex problems in
	control and combinatorial optimization},
  booktitle = {Communications, Computation, Control and Signal Processing: a Tribute
	to Thomas Kailath},
  year = {1997},
  publisher = {Kluwer},
  pages = {279-288},
  abstract = {We point out some connections between applications of semidefinite
	programming in control and in combinatorial optimization. In both
	fields semidefinite programs arise as convex relaxations of NP-hard
	quadratic optimization problems. We also show that these relaxations
	are readily extended to optimization problems over bilinear matrix
	inequalities.},
  endnotereftype = {Book Section},
  file = {x:/Bibfiles/BoyVan97.ps:Djvu;BoyVan97.ps:BoyVan97.ps:PostScript},
  shorttitle = {Semidefinite programming relaxations of non-convex problems in control
	and combinatorial optimization}
}

@InProceedings{Bro01,
  author         = {Brogliato, B.},
  booktitle      = {Proc. 40th IEEE Conf. Decision and Control},
  title          = {{A}bsolute stability and the {L}agrange-{D}irichlet theorem with multi-valued monotone mappings},
  year           = {2001},
  address        = {Orlando, FL},
  pages          = {27-32},
  endnotereftype = {Conference Proceedings},
  file           = {x:/Bibfiles/bro01.pdf:Djvu;Bro01.pdf:Bro01.pdf:PDF;Bro01.pdf:Bro01.pdf:PDF},
  groups         = {SchVee18},
  keywords       = {iqc convex absolute stability},
  shorttitle     = {Absolute stability and the {L}agrange-{D}irichlet theorem with multi-valued monotone mappings},
}

@Article{Bro04,
  author   = {Bernard Brogliato},
  journal  = {Systems \& Control Letters},
  title    = {{A}bsolute stability and the {L}agrange-{D}irichlet theorem with monotone multivalued mappings},
  year     = {2004},
  issn     = {0167-6911},
  number   = {5},
  pages    = {343 - 353},
  volume   = {51},
  doi      = {https://doi.org/10.1016/j.sysconle.2003.09.007},
  file     = {:Bro04.pdf:PDF},
  groups   = {SchVee18},
  keywords = {Absolute stability, Nonsmooth Lyapunov functions, Multivalued monotone mappings, Moreau's sweeping process, Passivity, Convex analysis},
  url      = {http://www.sciencedirect.com/science/article/pii/S0167691103002834},
}

@ARTICLE{BroCor98,
  author = {Brockman, M.L., Corless, M.},
  title = {{Q}uadratic boundedness of nominally linear systems},
  journal = {International Journal of Control},
  year = {1998},
  volume = {71},
  number = {6},
  pages = {1105-1117},
  abstract = {A non-linear/uncertain system is quadratically bounded if all its
	solutions are bounded and this is guaranteed by a quadratic Lyapunov
	function. We obtain easily checkable conditions which are necessary
	and sufficient for a class of nominally linear systems to be quadratically
	bounded. The results are applied to the rotational motion of an axisymmetric
	spacecraft subject to unknown but bounded disturbance torques.},
  endnotereftype = {Journal Article},
  file = {C:/Carsten/bib/Files/brocor98.pdf},
  shorttitle = {Quadratic boundedness of nominally linear systems}
}

@Book{BroLoz07,
  author    = {B. Brogliato and R. Lozano and B. Maschke and O. Egeland},
  publisher = {Springer},
  title     = {{D}issipative Systems Analysis and Control: {T}heory and Applications},
  year      = {2007},
  groups    = {SchVee18},
}

@ARTICLE{BroTsa01,
  author = {Brozenec, T. F. and Tsao, T. C. and Safonov, M. G.},
  title = {{C}ontroller validation},
  journal = {International Journal of Adaptive Control and Signal Processing},
  year = {2001},
  volume = {15},
  number = {5},
  month = {Aug},
  pages = {431-444},
  note = {Sp. Iss. SI 462KT Times Cited:8 Cited References Count:19},
  issn = {0890-6327},
  abstract = {The unfalsified control concept provides a theoretical basis for directly
	validating closed-loop controller performance from open-loop experimental
	data, or even from closed-loop data acquired while another controller
	was in the feedback loop. It allows this to be accomplished without
	making any prior assumptions about the plant or noise. This approach
	to experimental controller validation avoids the conservatism inherent
	in indirect two-step validation approaches that require one to first
	identify a plant model and uncertainty-bounds from experimental data
	before analysing control system robustness. Controller validation
	is shown to be the feedback generalization of open-loop model validation
	concepts that form the basis of various control-oriented system identification
	theories. Copyright (C) 2001 John Wiley & Sons, Ltd.},
  endnotereftype = {Journal Article},
  file = {<Go to ISI>://000170419800002},
  keywords = {controller identification model validation robust control unfalsified
	control model validation identification systems},
  shorttitle = {Controller validation}
}

@ARTICLE{BroZha04,
  author = {Brown, L. J. and Zhang, Qing},
  title = {{P}eriodic disturbance cancellation with uncertain frequency},
  journal = {Automatica},
  year = {2004},
  volume = {40},
  number = {4},
  month = {2004/4},
  pages = {631-637},
  endnotereftype = {Journal Article},
  file = {BroZha04.pdf::Djvu;BroZha04.pdf:BroZha04.pdf:PDF;BroZha04.pdf:BroZha04.pdf:PDF},
  shorttitle = {Periodic disturbance cancellation with uncertain frequency}
}

@ARTICLE{BruSaf04,
  author = {Brugarolas, P. B. and Safonov, M. G.},
  title = {{L}earning about dynamical systems via unfalsification of hypotheses},
  journal = {International Journal of Robust and Nonlinear Control},
  year = {2004},
  volume = {14},
  number = {11},
  month = {Jul 25},
  pages = {933-943},
  note = {837BQ Times Cited:0 Cited References Count:25},
  issn = {1049-8923},
  abstract = {This paper examines the problem of learning behaviours of a dynamical
	system from experimental data via unfalsification of hypotheses within
	the behavioural approach to system theory of Willems. Behaviours
	of the dynamic systems are postulated as hypotheses and then tested
	against experimental data. A simple and concise condition for falsification
	of hypotheses by experimental data in terms of a kernel is presented.
	The approach is applicable both to learning models for a plant and
	to adapting controllers to satisfy performance and robustness goals.
	Copyright (C) 2004 John Wiley Sons, Ltd.},
  endnotereftype = {Journal Article},
  file = {<Go to ISI>://000222601800002},
  keywords = {control system identification behavioural systems adaptive control
	model validation set membership falsification experimental data},
  shorttitle = {Learning about dynamical systems via unfalsification of hypotheses}
}

@PHDTHESIS{Bur98,
  author = {Burman, E.},
  title = {{A}daptive finite element methods for compressible two-phase flow},
  year = {1998},
  type = {Adaptive grid refinement techniques for flow problems. Good intro.},
  address = {G\"oteborg},
  endnotereftype = {Thesis},
  school = {University of G\"oteborg},
  shorttitle = {Adaptive finite element methods for compressible two-phase flow}
}

@ARTICLE{BurLew01,
  author = {Burke, J.V. and Lewis, A.S. and Overton, M.L.},
  title = {{O}ptimal {S}tability and {E}igenvalue {M}ultiplicity},
  journal = {Foundations of Computational Mathematics},
  year = {2001},
  volume = {1},
  pages = {205-225},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/BurLew01.pdf:Djvu;BurLew01.pdf:BurLew01.pdf:PDF;BurLew01.pdf:BurLew01.pdf:PDF},
  keywords = {nonsmooth},
  shorttitle = {Optimal Stability and Eigenvalue Multiplicity}
}

@ARTICLE{ByrGeo00,
  author = {Byrnes, C.I. and Georgiou, T. and Lindquist, A.},
  title = {{A} new approach to spectral estimation: a tunable high-resolution
	spectral estimator},
  journal = {IEEE Trans. Signal Processing},
  year = {2000},
  volume = {48},
  number = {11},
  pages = {3189-3205},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/ByrGeo00.pdf:Djvu;ByrGeo00.pdf:ByrGeo00.pdf:PDF;ByrGeo00.pdf:ByrGeo00.pdf:PDF},
  keywords = {convex stochastic Toeplitz covariance},
  shorttitle = {A new approach to spectral estimation: a tunable high-resolution spectral
	estimator}
}

@Article{ByrGeo01,
  author         = {Byrnes, C.I. and Georgiou, T. and Lindquist, A.},
  journal        = {IEEE Trans. Aut. Control},
  title          = {{A} generalized entropy critertion for {N}evanlinna-{P}ick interpolation with degree constraint},
  year           = {2001},
  number         = {5},
  pages          = {822-839},
  volume         = {46},
  endnotereftype = {Journal Article},
  file           = {x:/Bibfiles/ByrGeo01.pdf:Djvu},
  groups         = {Generic},
  keywords       = {convex stochastic Toeplitz covariance},
  shorttitle     = {A generalized entropy critertion for {N}evanlinna-{P}ick interpolation with degree constraint},
}

@ARTICLE{ByrGus98,
  author = {Byrnes, C.I. and Gusev, S. V. and Lindquist, A.},
  title = {{A} convex optimization approach to the rational covariance extension
	problem},
  journal = {SIAM J. Contr. Optim.},
  year = {1998},
  volume = {37},
  number = {1},
  pages = {211-229},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/ByrGus98.pdf:Djvu;ByrGus98.pdf:ByrGus98.pdf:PDF;ByrGus98.pdf:ByrGus98.pdf:PDF},
  keywords = {convex stochastic Toeplitz covariance},
  shorttitle = {A convex optimization approach to the rational covariance extension
	problem}
}

@ARTICLE{ByrMar95,
  author = {Byrnes, C.I. and Martin, C.F.},
  title = {{A}n integral-invariance principle for nonlinear systems},
  journal = {IEEE T. Automat. Contr.},
  year = {1995},
  volume = {40},
  number = {6},
  pages = {983-994},
  endnotereftype = {Journal Article},
  shorttitle = {An integral-invariance principle for nonlinear systems}
}

@ARTICLE{CabSaf04,
  author = {Cabral, F. B. and Safonov, M. G.},
  title = {{U}nfalsified model reference adaptive control using the ellipsoid
	algorithm},
  journal = {International Journal of Adaptive Control and Signal Processing},
  year = {2004},
  volume = {18},
  number = {8},
  month = {Oct},
  pages = {683-696},
  note = {866RY Times Cited:5 Cited References Count:18},
  issn = {0890-6327},
  abstract = {The unfalsified control paradigm which uses as plant information,
	experimental trajectories of plant signals, is applied to the model
	reference adaptive control problem. The use of an ellipsoid algorithm
	overcomes the need of gridding the parameter space used in prior
	applications of unfalsified control. The application of the ellipsoid
	algorithm produces a sequence of decreasing volume ellipsoids which
	contains the set of unfalsified candidates. Simulation results are
	provided for the control of an unstable plant. Copyright (C) 2004
	John Wiley Sons, Ltd.},
  endnotereftype = {Journal Article},
  file = {<Go to ISI>://000224791900006},
  keywords = {unfalsified control model reference adaptive control ellipsoid algorithm
	identification validation},
  shorttitle = {Unfalsified model reference adaptive control using the ellipsoid algorithm}
}

@BOOK{Cai88,
  author = {Caines, P.E.},
  title = {{L}inear {S}tochastic {S}ystems},
  year = {1988},
  publisher = {John Wiley /\& Sons},
  endnotereftype = {Book},
  shorttitle = {Linear Stochastic Systems}
}

@ARTICLE{CalCam05,
  author = {Calafiore, Giuseppe and Campi, M.C.},
  title = {{U}ncertain convex programs: randomized solutions and confidence
	levels},
  journal = {Mathematical Programming},
  year = {2005},
  volume = {102},
  number = {1},
  month = {2005},
  pages = {25-46},
  endnotereftype = {Journal Article},
  file = {CalCam05.pdf::Djvu;CalCam05.pdf:CalCam05.pdf:PDF;CalCam05.pdf:CalCam05.pdf:PDF},
  shorttitle = {Uncertain convex programs: randomized solutions and confidence levels}
}

@ARTICLE{CalGha01,
  author = {Calafiore, G. and El~{G}haoui, L.},
  title = {{R}obust maxiumum likelihood estimation in the linear model},
  journal = {Automatica},
  year = {2001},
  volume = {37},
  pages = {573-580},
  note = {CalGha01.pdf},
  endnotereftype = {Journal Article},
  file = {CalGha01.pdf:CalGha01.pdf:PDF;CalGha01.pdf:CalGha01.pdf:PDF},
  keywords = {Estimation},
  shorttitle = {Robust maxiumum likelihood estimation in the linear model}
}

@INPROCEEDINGS{CamMor89,
  author = {Campo, P.J. and Morari, M. and Nett, C. N.},
  title = {{M}ultivariable anti-windup and bumpless transfer: a general theory},
  booktitle = {Proc. Amer. Contr. Conf.},
  year = {1989},
  pages = {1706-1711},
  address = {Pittsburg},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Multivariable anti-windup and bumpless transfer: a general theory}
}

@INPROCEEDINGS{CanMil01,
  author = {Canale, M. and Milanese, M.},
  title = {{R}obust control of linear systems in presence of input saturation
	and unmodelled dynamics},
  booktitle = {Proc. 40th IEEE Conf. Decision and Control},
  year = {2001},
  pages = {4248-4253},
  address = {Orlando, FL},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/CanMil01.pdf:Djvu;CanMil01.pdf:CanMil01.pdf:PDF;CanMil01.pdf:CanMil01.pdf:PDF},
  keywords = {constraints},
  shorttitle = {Robust control of linear systems in presence of input saturation and
	unmodelled dynamics}
}

@INPROCEEDINGS{CaoNia07,
  author = {Cao, Li and Nian, Xiaohong and Tang, Wenyan},
  title = {{BMI} {A}pproach to {D}ecentralized and {C}ooperative {C}ontrol of
	{L}arge-{S}cale {S}ystem},
  booktitle = {Control Conference, 2007. CCC 2007. Chinese},
  year = {2007},
  month = {July 26 2007-June 31 2007},
  pages = {5-9},
  endnotereftype = {Conference Proceedings},
  keywords = {control system synthesis decentralised control matrix algebra optimisation
	BMI approach bilinear matrix inequality cooperative control decentralized
	controllers designing linear large-scale systems nonconvex optimization
	problems},
  shorttitle = {BMI Approach to Decentralized and Cooperative Control of Large-Scale
	System}
}

@Article{CarSei18,
  author    = {J. Carrasco and P. Seiler},
  title     = {{C}onditions for the equivalence between {IQC} and graph separation stability results},
  journal   = ijc,
  year      = {2018},
  pages     = {??-??},
  booktitle = {arXiv:1704.04816v1},
  groups    = {used, Fetzer},
  owner     = {mst},
}

@ARTICLE{CasFam02,
  author = {Casavola, A. and Famularo, D. and Franz/`{e}, G},
  title = {{A} {F}eedback {M}in?��?�{�M}ax {MPC} {A}lgorithm for {LPV} {S}ystems
	{S}ubject to {B}ounded {R}ates of {C}hange of {P}arameters},
  journal = {IEEE T. Automat. Contr.},
  year = {2002},
  volume = {47},
  number = {7},
  pages = {1147-1153},
  endnotereftype = {Journal Article},
  file = {CasFam02.pdf::Djvu;CasFam02.pdf:CasFam02.pdf:PDF;CasFam02.pdf:CasFam02.pdf:PDF},
  keywords = {mpc},
  shorttitle = {A Feedback Min?��?��Max {MPC} Algorithm for {LPV} Systems Subject
	to Bounded Rates of Change of Parameters}
}

@ARTICLE{CasMos01,
  author = {Casavola, A. and Mosca, E.},
  title = {{G}lobal switching regulation of input-saturated discrete-time linear
	systems with arbitrary $l_2$ disturbances},
  journal = {IEEE T. Automat. Contr.},
  year = {2001},
  volume = {46},
  number = {6},
  pages = {915-919},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/CasMos01.pdf:Djvu;CasMos01.pdf:CasMos01.pdf:PDF;CasMos01.pdf:CasMos01.pdf:PDF},
  keywords = {constraints},
  shorttitle = {Global switching regulation of input-saturated discrete-time linear
	systems with arbitrary $l_2$ disturbances}
}

@InProceedings{CasPag02,
  author         = {De Castro, G.A. and Paganini, F.},
  booktitle      = cdc02,
  title          = {{A}n {IQC} characterization of decentralized {L}yapunov functions in spatially invariant arrays},
  year           = {2002},
  month          = {2002///},
  pages          = {563-568},
  volume         = {1},
  comment        = {Main result is immediate consequence of one-parameter KYP exactness.
	The seemingly complicated proof can be simplified by just using a
	suitable realization of $A_0+B_1/exp{i/theta}+B_2/exp{-i/theta}$
	after multiplying the FDI with $/exp{i/theta}$. Not worked out.},
  endnotereftype = {Conference Proceedings},
  file           = {CasPag02.pdf:CasPag02.pdf:PDF;CasPag02.pdf:CasPag02.pdf:PDF},
  groups         = {distributed, SchVee18},
  keywords       = {iqc structure},
  shorttitle     = {An IQC characterization of decentralized Lyapunov functions in spatially invariant arrays},
}

@INPROCEEDINGS{cdc07a,
  author = {Scherer, C.W. and K\"ose, I.E.},
  title = {{O}n robust controller synthesis with dynamic ${D}$-scalings},
  booktitle = {Proc. 46th IEEE Conf. Decision and Control},
  year = {2007},
  endnotereftype = {Conference Proceedings},
  shorttitle = {On robust controller synthesis with dynamic ${D}$-scalings}
}

@INPROCEEDINGS{cdc07b,
  author = {Scherer, C.W. and K\"ose, I.E.},
  title = {{G}ain-scheduling synthesis with dynamic ${D}$-scalings},
  booktitle = {Proc. 46th IEEE Conf. Decision and Control},
  year = {2007},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Gain-scheduling synthesis with dynamic ${D}$-scalings}
}

@ARTICLE{CerMil07,
  author = {Cerone, Vito and Milanese, Mario and Regruto, Diego},
  title = {{R}obust feedforward design for a two-degrees of freedom controller},
  journal = {Syst. Contr. Letters},
  year = {2007},
  volume = {56},
  number = {11-12},
  pages = {736-741},
  issn = {0167-6911},
  endnotereftype = {Journal Article},
  file = {X:/bibfiles/CerMil07.pdf:Djvu;CerMil07.pdf:CerMil07.pdf:PDF;CerMil07.pdf:CerMil07.pdf:PDF},
  keywords = {Two degrees of freedom Robust control Feedforward},
  shorttitle = {Robust feedforward design for a two-degrees of freedom controller}
}

@ARTICLE{CevSch95,
  author = {Cevik, M.K.K. and Schumacher, J.M},
  title = {{T}he {R}egulator {P}roblem with {R}obust {S}tability},
  journal = {Automatica},
  year = {1995},
  volume = {31},
  pages = {1393-1406},
  endnotereftype = {Journal Article},
  shorttitle = {The Regulator Problem with Robust Stability}
}

@INPROCEEDINGS{Cha11,
  author = {Changchun, Sun},
  title = {{D}ecentralized control for discrete-time switched large-scale linear
	systems},
  booktitle = {Intelligent Control and Information Processing (ICICIP), 2011 2nd
	International Conference on},
  year = {2011},
  volume = {1},
  month = {25-28 July 2011},
  pages = {325-328},
  endnotereftype = {Conference Proceedings},
  keywords = {asymptotic stability closed loop systems computability control system
	synthesis decentralised control discrete time systems large-scale
	systems linear matrix inequalities linear systems stability criteria
	state feedback time-varying systems LMI approach convex combination
	technique decentralized controller decentralized state feedback stabilization
	decentralized switching laws discrete time switched large scale linear
	system low-dimensional discrete time subsystem solvability problems
	stabilization condition},
  shorttitle = {Decentralized control for discrete-time switched large-scale linear
	systems}
}

@BOOK{Cha97,
  author = {Chandrasekharan, K.},
  title = {{C}lassical {F}ourier {T}ransforms},
  year = {1989},
  publisher = {Springer-Verlag},
  address = {Berlin},
  endnotereftype = {Book},
  keywords = {Fourier covariance},
  shorttitle = {Classical Fourier Transforms}
}

@ARTICLE{ChaDew05,
  author = {Chandrasekaran, S. and Dewilde, P. and Gu, M. and Pals, T. and Sun,
	X. and Veen, A.-J. van der and White, D.},
  title = {{S}ome {F}ast {A}lgorithms for {S}equentially {S}emiseparable {R}epresentations},
  journal = {SIAM J. MATRIX ANAL. APPL.},
  year = {2005},
  volume = {27},
  number = {2},
  pages = {341-364},
  endnotereftype = {Journal Article},
  file = {ChaDew05.pdf::Djvu;ChaDew05.pdf:ChaDew05.pdf:PDF;ChaDew05.pdf:ChaDew05.pdf:PDF},
  keywords = {structure},
  shorttitle = {Some Fast Algorithms for Sequentially Semiseparable Representations}
}

@ARTICLE{ChaRot01,
  author = {Charbonnaud, P. and Rotella, F. and Medar, S.},
  title = {{P}rocess operating mode monitoring: switching online the right controller},
  journal = {IEEE Transactions on systems, man, and cybernetics},
  year = {2001},
  volume = {31},
  number = {1},
  pages = {77-86},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/ChaRot01.pdf:Djvu;ChaRot01.pdf:ChaRot01.pdf:PDF;ChaRot01.pdf:ChaRot01.pdf:PDF},
  keywords = {switching},
  shorttitle = {Process operating mode monitoring: switching online the right controller}
}

@ARTICLE{Che98,
  author = {Chen, B-S},
  title = {{O}n properties of the special coordinate basis of linear systems},
  journal = {International Journal of Control},
  year = {1998},
  volume = {71},
  number = {6},
  pages = {981-1003},
  endnotereftype = {Journal Article},
  file = {Che98.pdf::Djvu;Che98.pdf:Che98.pdf:PDF;Che98.pdf:Che98.pdf:PDF},
  keywords = {geometric},
  shorttitle = {On properties of the special coordinate basis of linear systems}
}

@ARTICLE{Che99,
  author = {Chen, J. and Qiu, L. and Toker, O.},
  title = {{L}imitations on {M}aximal {T}racking {A}ccuracy},
  journal = {IEEE T. Automat. Contr.},
  year = {1999},
  endnotereftype = {Journal Article},
  shorttitle = {Limitations on Maximal Tracking Accuracy}
}

@INPROCEEDINGS{CheGar00,
  author = {Chesi, G. and Garulli, A. and Tesi, A. and Vicino, A.},
  title = {{A}n {LMI}-based approach for characterizing the solution set of
	polynomial systems},
  booktitle = {Proc. 39th IEEE Conf. Decision and Control},
  year = {2000},
  address = {Sydney, Australia},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/CheGar00.pdf:Djvu;CheGar00.pdf:CheGar00.pdf:PDF;CheGar00.pdf:CheGar00.pdf:PDF},
  keywords = {relaxation},
  shorttitle = {An {LMI}-based approach for characterizing the solution set of polynomial
	systems}
}

@ARTICLE{CheGar03,
  author = {Chesi, G. and Garulli, A. and Tesi, A. and Vicino, A.},
  title = {{H}omogeneous {L}yapunov functions for systems with structured uncertainties},
  journal = {Automatica},
  year = {2003},
  volume = {39},
  number = {6},
  pages = {1027--1035},
  endnotereftype = {Journal Article},
  file = {CheGar03.pdf:CheGar03.pdf:PDF;CheGar03.pdf:CheGar03.pdf:PDF},
  keywords = {relaxation},
  shorttitle = {Homogeneous {L}yapunov functions for systems with structured uncertainties}
}

@INPROCEEDINGS{CheGar03cdc,
  author = {Chesi, G. and Garulli, A. and Tesi, A. and Vicino, A.},
  title = {{R}obust stability of polytopic systems via polynomially parameter-dependent
	{L}yapunov functions},
  booktitle = {IEEEProc. 42nd IEEE Conf. Decision and Control},
  year = {2003},
  pages = {4670-4675},
  address = {Maui, Hawaii},
  endnotereftype = {Conference Proceedings},
  file = {CheGar03.pdf},
  shorttitle = {Robust stability of polytopic systems via polynomially parameter-dependent
	{L}yapunov functions}
}

@ARTICLE{CheGar04,
  author = {Chesi, G. and Garulli, A. and Tesi, A. and Vicino, A.},
  title = {{R}obust analysis of {LFR} systems through homogeneous polynomial
	{L}yapunov functions},
  journal = {IEEE T. Automat. Contr.},
  year = {2004},
  volume = {49},
  number = {7},
  pages = {1211 - 1215},
  endnotereftype = {Journal Article},
  file = {CheGar04.pdf::Djvu;CheGar04.pdf:CheGar04.pdf:PDF;CheGar04.pdf:CheGar04.pdf:PDF},
  shorttitle = {Robust analysis of {LFR} systems through homogeneous polynomial Lyapunov
	functions}
}

@ARTICLE{CheGol59,
  author = {Cheney, W. and Goldstein, A.A.},
  title = {{P}roximity maps for convex sets},
  year = {1959},
  endnotereftype = {Journal Article},
  file = {/bibfiles/CheGol59.pdf::Djvu;CheGol59.pdf:CheGol59.pdf:PDF;CheGol59.pdf:CheGol59.pdf:PDF},
  keywords = {convex},
  shorttitle = {Proximity maps for convex sets}
}

@INPROCEEDINGS{CheSch04,
  author = {Chen, H. and Scherer, C.W.},
  editor = {Phillips, S.M.},
  title = {{A}n {LMI} based model predictive control scheme with guaranteed
	{$H_\infty$} performance and its application to active suspension},
  booktitle = {Proc. American Control Conf.},
  year = {2004},
  pages = {1487-1492},
  address = {Boston},
  endnotereftype = {Conference Proceedings},
  file = {CheSch04.pdf::Djvu;CheSch04.pdf:CheSch04.pdf:PDF;CheSch04.pdf:CheSch04.pdf:PDF},
  shorttitle = {An LMI based model predictive control scheme with guaranteed {$H_\infty$}
	performance and its application to active suspension}
}

@ARTICLE{CheSch06,
  author = {Chen, H. and Scherer, C.W.},
  title = {{M}oving horizon ${H}_\infty$ control with performance adaptation
	for constrained linear systems},
  journal = {Automatica},
  year = {2006},
  volume = {42},
  number = {6},
  pages = {1033-1040},
  note = {Cited By (since 1996): 6 Export Date: 6 January 2009 Source: Scopus},
  endnotereftype = {Journal Article},
  file = {http://www.scopus.com/scopus/inward/record.file?eid=2-s2.0-33646126057&partnerID=40},
  shorttitle = {Moving horizon ${H}_\infty$ control with performance adaptation for
	constrained linear systems}
}

@INPROCEEDINGS{CheSch97,
  author = {Chen, H. and Scherer, C.W. and Allg\"ower, F.},
  title = {{A} game theoretic approach to nonlinear robust receding horizon
	control of constraint systems},
  booktitle = {Proc. Amer. Contr. Conf.},
  year = {1997},
  pages = {3073-3077},
  address = {Albuquerque, NM},
  endnotereftype = {Conference Proceedings},
  file = {CheSch97.pdf::Djvu;CheSch97.pdf:CheSch97.pdf:PDF;CheSch97.pdf:CheSch97.pdf:PDF},
  shorttitle = {A game theoretic approach to nonlinear robust receding horizon control
	of constraint systems}
}

@INPROCEEDINGS{CheSch98,
  author = {Chen, H. and Scherer, C.W. and Allg\"ower, F.},
  editor = {Georgakis, C.},
  title = {{A} {R}obust {M}odel {P}redictive {C}ontrol {S}cheme for {C}onstrained
	{L}inear {S}ystems},
  booktitle = {5th {IFAC} Symposium on Dynamics and Control of Process Systems},
  year = {1998},
  pages = {60-65},
  address = {Corfu, Greece},
  endnotereftype = {Conference Proceedings},
  shorttitle = {A Robust Model Predictive Control Scheme for Constrained Linear Systems}
}

@INPROCEEDINGS{CheSug96,
  author = {Chen, G. and Sugie, T.},
  title = {{N}ew {U}pper {B}ound of the {R}eal $/mu$ {B}ased on the {P}arameter
	{D}ependent {M}ultiplier},
  booktitle = {Proc. 35th IEEE Conf. Decision and Control},
  year = {1996},
  pages = {1293-1294},
  address = {Kobe, Japan},
  endnotereftype = {Conference Proceedings},
  file = {CheSug96.pdf:CheSug96.pdf:PDF},
  shorttitle = {New Upper Bound of the Real $/mu$ Based on the Parameter Dependent
	Multiplier}
}

@INPROCEEDINGS{CheTes02,
  author = {Chesi, G. and Tesi, A. and Vicino, A.},
  title = {{C}omputing {O}ptimal {Q}uadratic {L}yapunov {F}unctions for {P}olynomial
	{N}onlinear {S}ystems via {LMI}s},
  booktitle = {15th {IFAC} World Congres},
  year = {2002},
  publisher = {Elsevier},
  address = {Barcelona},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/CheTes02.pdf:Djvu;CheTes02.pdf:CheTes02.pdf:PDF;CheTes02.pdf:CheTes02.pdf:PDF},
  keywords = {relaxation sdp},
  shorttitle = {Computing Optimal Quadratic {L}yapunov Functions for Polynomial Nonlinear
	Systems via {LMI}s}
}

@INCOLLECTION{CheWen95,
  author = {Chen, X. and Wen, J.T.},
  title = {{A} {L}inear {M}atrix {I}nequality {A}pproach to the {D}iscrete {T}ime
	{M}ixed {$l_1/{/cal H}_\infty$} {C}ontrol {P}roblem},
  booktitle = {Proc. 34th IEEE Conf. Decision and Control},
  year = {1995},
  pages = {3670-3675},
  address = {New Orleans, LO},
  endnotereftype = {Book Section},
  shorttitle = {A Linear Matrix Inequality Approach to the Discrete Time Mixed {$l_1/{/cal
	H}_\infty$} Control Problem}
}

@Article{CheWen96,
  author         = {Chen, X. and Wen, J.T.},
  journal        = {Journal of Applied Mathematics and Computer Science},
  title          = {{R}obustness {A}nalysis for {L}inear {T}ime {I}nvariant {S}ystems with {S}tructured {I}ncrementally {S}ector {B}ounded {F}eedback {N}onlinearities},
  year           = {1996},
  number         = {4},
  pages          = {625-648},
  volume         = {6},
  endnotereftype = {Journal Article},
  file           = {CheWen96.pdf:CheWen96.pdf:PDF},
  groups         = {CSM20},
  shorttitle     = {Robustness Analysis for Linear Time Invariant Systems with Structured Incrementally Sector Bounded Feedback Nonlinearities},
}

@BOOK{Chi,
  author = {Chicone, C.},
  title = {{O}rdinary differential equaions},
  publisher = {Springer-Verlag},
  endnotereftype = {Book},
  file = {ChiGah96.pdf:ChiGah96.pdf:PDF},
  shorttitle = {Ordinary differential equaions}
}

@ARTICLE{ChiGah96,
  author = {Chilali, M. and Gahinet, P.},
  title = {{$H_\infty$} design with pole placement constraints: an {LMI} approach},
  journal = {IEEE T. Automat. Contr.},
  year = {1996},
  volume = {41},
  number = {3},
  pages = {358 - 367},
  endnotereftype = {Journal Article},
  file = {ChiGah96.pdf::Djvu;ChiGah96.pdf:ChiGah96.pdf:PDF;ChiGah96.pdf:ChiGah96.pdf:PDF},
  shorttitle = {{$H_\infty$} design with pole placement constraints: an {LMI} approach}
}

@ARTICLE{ChiGah99,
  author = {Chilali, M. and Gahinet, P. and Apkarian, P.},
  title = {{R}obust pole placement in {LMI} regions},
  journal = {IEEE T. Automat. Contr.},
  year = {1999},
  volume = {44},
  number = {12},
  pages = {2257-2270},
  endnotereftype = {Journal Article},
  file = {ChiGah99.pdf::Djvu;ChiGah99.pdf:ChiGah99.pdf:PDF;ChiGah99.pdf:ChiGah99.pdf:PDF},
  keywords = {robust},
  shorttitle = {Robust pole placement in {LMI} regions}
}

@ARTICLE{ChiHir88,
  author = {Chiang, H.D. and Hirsch, M.W. and Wu, F.F.},
  title = {{S}tability regions of nonlinear autonomous dynamical systems},
  journal = {IEEE T. Automat. Contr.},
  year = {1988},
  number = {1},
  pages = {16-27},
  endnotereftype = {Journal Article},
  shorttitle = {Stability regions of nonlinear autonomous dynamical systems}
}

@ARTICLE{ChiSaf92,
  author = {Chiang, R. Y. and Safonov, M. G.},
  title = {{H}-{I}nfinity {S}ynthesis {U}sing a {B}ilinear {P}ole {S}hifting
	{T}ransform},
  journal = {Journal of Guidance Control and Dynamics},
  year = {1992},
  volume = {15},
  number = {5},
  month = {Sep-Oct},
  pages = {1111-1117},
  note = {Jm285 Times Cited:12 Cited References Count:15},
  issn = {0731-5090},
  abstract = {An H(infinity) control law design is presented for a benchmark problem
	consisting of an undamped pair of spring-coupled masses with a sensor
	and actuator that are not collocated. This simple mechanical system
	captures many of the salient features of more complex aircraft and
	space structure vibration control problems. The H(infinity) problem
	formulation enables the issue of stability robustness in the face
	of large mass and spring constant variation to be directly addressed.
	Constraints on closed-loop dominant pole locations and settling time
	are accommodated via a simple s-plane bilinear transform. The transform
	parameter can give direct control of closed-loop disturbance settling
	time and controller open-loop pole-zero locations. A four-state H(infinity)
	minimum phase controller was found to meet the given specifications
	of each design. Detailed analysis on the tradeoffs of sensor noise
	vs control energy are also presented.},
  endnotereftype = {Journal Article},
  file = {<Go to ISI>://A1992JM28500010},
  shorttitle = {H-Infinity Synthesis Using a Bilinear Pole Shifting Transform}
}

@ARTICLE{ChiSaf94,
  author = {Chiang, R. Y. and Safonov, M. G.},
  title = {{R}obust-{C}ontrol {T}oolbox},
  journal = {Automatica},
  year = {1994},
  volume = {30},
  number = {5},
  month = {May},
  pages = {919-920},
  note = {Nn303 Times Cited:1 Cited References Count:1},
  issn = {0005-1098},
  endnotereftype = {Journal Article},
  file = {<Go to ISI>://A1994NN30300020},
  shorttitle = {Robust-Control Toolbox}
}

@ARTICLE{ChmMan96,
  author = {Chmielewski, D. and Manousiouthakis, V.},
  title = {{O}n {C}onstrained {I}nfinite-{T}ime {L}inear {Q}uadratic {C}ontrol},
  journal = {Syst. Control Lett.},
  year = {1996},
  volume = {29},
  pages = {121-129},
  endnotereftype = {Journal Article},
  keywords = {constraints},
  shorttitle = {On Constrained Infinite-Time Linear Quadratic Control}
}

@ARTICLE{Cho75,
  author = {Choi, M.D.},
  title = {{C}ompletely {P}ositive {L}inear {M}aps on {C}omplex {M}atrices},
  journal = {Linear Algebra Appl.},
  year = {1975},
  volume = {10},
  pages = {285-290},
  endnotereftype = {Journal Article},
  file = {cho75.pdf},
  shorttitle = {Completely Positive Linear Maps on Complex Matrices}
}

@INPROCEEDINGS{ChrWei94,
  author = {Christen, U. and Weilenmann, M. F. and Geering, H. P.},
  title = {{D}esign of {H}2 and {H}inf {C}ontrollers with {T}wo {D}egrees of
	{F}reedom},
  booktitle = {Proc. Amer. Contr. Conf.},
  year = {1994},
  pages = {2391-2395},
  address = {Baltimore, Maryland},
  endnotereftype = {Conference Proceedings},
  file = {ChrWei94.pdf::Djvu;ChrWei94.pdf:ChrWei94.pdf:PDF;ChrWei94.pdf:ChrWei94.pdf:PDF},
  shorttitle = {Design of H2 and Hinf Controllers with Two Degrees of Freedom}
}

@INPROCEEDINGS{CifRod08,
  author = {Cifdaloz, O. and Rodriguez, A. A. and Anderies, J. M.},
  title = {{C}ontrol of distributed parameter systems subject to convex constraints:
	{A}pplications to irrigation systems and {H}ypersonic {V}ehicles},
  booktitle = {Decision and Control, 2008. CDC 2008. 47th IEEE Conference on},
  year = {2008},
  month = {9-11 Dec. 2008},
  isbn = {0191-2216},
  pages = {865-870},
  endnotereftype = {Conference Proceedings},
  keywords = {H<sup>?��??��?��</sup> control aircraft control control system synthesis
	distributed parameter systems irrigation linear systems multidimensional
	systems optimisation partial differential equations H<sup>?��??��?��</sup>
	mixed-sensitivity performance objectives Youla parameterization control
	system design convex constraints finite dimensional linear time invariant
	controllers finite-dimensional optimization problem flexible dynamics
	hyperbolic partial differential equations hypersonic vehicles infinite
	dimensional LTI plants irrigation systems},
  shorttitle = {Control of distributed parameter systems subject to convex constraints:
	Applications to irrigation systems and Hypersonic Vehicles}
}

@ARTICLE{citeulike:2201664,
  author = {Lee, Ji and Khargonekar, Pramod},
  title = {{O}ptimal {O}utput {R}egulation for {D}iscrete-{T}ime {S}witched
	and {M}arkovian {J}ump {L}inear {S}ystems},
  journal = {{SIAM} J. Control Optim.},
  year = {2008},
  volume = {47},
  number = {1},
  month = {2008///},
  pages = {40-72},
  note = {TY - JOUR},
  abstract = {First, three different but related output regulation performance criteria
	for the linear time-varying system are defined in the discrete-time
	domain, namely, the peak impulse response, peak output variance,
	and average output variance per unit time. Then they are extended
	for switched linear systems and Markovian jump linear systems, and
	characterized by an increasing union of finite-dimensional linear
	matrix inequality conditions. Finally, the infinite-horizon suboptimal
	LQG control problem, which aims to maintain the average output variance
	below a given level subject to the uniform exponential stability
	of the closed-loop system, is solved for both switched linear systems
	and Markovian jump linear systems; the solution is given by a dynamic
	linear output feedback controller that not only perfectly observes
	the present mode but also recalls a finite number of past modes.},
  endnotereftype = {Journal Article},
  file = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJCODC000047000001000040000001&idtype=cvips&gifs=yes},
  keywords = {read switching},
  publisher = {SIAM},
  shorttitle = {Optimal Output Regulation for Discrete-Time Switched and Markovian
	Jump Linear Systems}
}

@BOOK{ClaLed98,
  author = {Clarke, F.H. and Ledyaev, Yu. S. and Stern, R.J. and Wolenski, P.R.},
  title = {{N}onsmooth {A}nalysis and {C}ontrol {T}heory},
  year = {1998},
  publisher = {Springer-Verlag},
  address = {New York},
  endnotereftype = {Book},
  shorttitle = {Nonsmooth Analysis and Control Theory}
}

@ARTICLE{Cle00,
  author = {Clements, D. J.},
  title = {{A} {STATE}-{SPACE} {APPROACH} {TO} {INDEFINITE} {SPECTRAL} {FACTORIZATION}},
  journal = {SIAM J. MATRIX ANAL. APPL.},
  year = {2000},
  volume = {21},
  number = {3},
  pages = {743-767},
  endnotereftype = {Journal Article},
  file = {/bibfiles/Cle00.pdf::Djvu;Cle00.pdf:Cle00.pdf:PDF;Cle00.pdf:Cle00.pdf:PDF},
  keywords = {spectral factorization},
  shorttitle = {A STATE-SPACE APPROACH TO INDEFINITE SPECTRAL FACTORIZATION}
}

@ARTICLE{Cle93,
  author = {Clements, D.J.},
  title = {{R}ational spectral factorization using state-space methods},
  journal = {Syst. Control Lett.},
  year = {1993},
  volume = {??},
  pages = {335-343},
  endnotereftype = {Journal Article},
  shorttitle = {Rational spectral factorization using state-space methods}
}

@INPROCEEDINGS{CleAnd92,
  author = {Clements, D.J. and Anderson, B.D.O. and Laub, A.J. and Matson, J.B.},
  title = {{S}pectral factorization with imaginary axis zeros},
  booktitle = {Proc. Amer. Contr. Conf.},
  year = {1992},
  address = {Chicago, Illinois},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Spectral factorization with imaginary axis zeros}
}

@INPROCEEDINGS{CleDuc01,
  author = {Clement, B. and Duc, G.},
  title = {{A}n interpolation method for gain-scheduling},
  booktitle = {Proc. 40th IEEE Conf. Decision and Control},
  year = {2001},
  pages = {1310-1315},
  address = {Orlando, FL},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/CleDuc01.pdf:Djvu;CleDuc01.pdf:CleDuc01.pdf:PDF;CleDuc01.pdf:CleDuc01.pdf:PDF},
  keywords = {gain-scheduling},
  shorttitle = {An interpolation method for gain-scheduling}
}

@BOOK{CodLev55,
  author = {Coddington, E.A. and Levinson, N.},
  title = {{T}heory of differential equations},
  year = {1955},
  publisher = {McGraw-Hill},
  address = {New York},
  endnotereftype = {Book},
  shorttitle = {Theory of differential equations}
}

@ARTICLE{Col93,
  author = {Colgate, J.E.},
  title = {{R}obust impedance shaping teleoperation},
  journal = {IEEE Transactions on Robotics and Automation},
  year = {1993},
  volume = {9},
  number = {4},
  pages = {374-384},
  endnotereftype = {Journal Article},
  file = {Col93.pdf::Djvu;Col93.pdf:Col93.pdf:PDF;Col93.pdf:Col93.pdf:PDF},
  keywords = {teleoperation},
  shorttitle = {Robust impedance shaping teleoperation}
}

@BOOK{Con85,
  author = {Conway, J.B.},
  title = {{A} {C}ourse in {F}unctional {A}nalysis},
  year = {1985},
  publisher = {Springer-Verlag},
  address = {New York},
  endnotereftype = {Book},
  shorttitle = {A Course in Functional Analysis}
}

@INPROCEEDINGS{ConBar02,
  author = {Lagoa, C.M. and Barmish, B.R.},
  title = {{D}istributionally {R}obust {M}onte {C}arlo {S}imulation: {A} {T}utorial
	{S}urvey},
  booktitle = {15th {IFAC} World Congres},
  year = {2002},
  publisher = {Elsevier},
  address = {Barcelona},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/ConBar02.pdf:Djvu;ConBar02.pdf:ConBar02.pdf:PDF;ConBar02.pdf:ConBar02.pdf:PDF},
  keywords = {Monte Carlo},
  shorttitle = {Distributionally Robust Monte Carlo Simulation: A Tutorial Survey}
}

@ARTICLE{CopSaf95,
  author = {Copeland, B. R. and Safonov, M. G.},
  title = {{A} {Z}ero {C}ompensation {A}pproach to {S}ingular {H}-2 and {N}-{I}nfinity
	{P}roblems},
  journal = {International Journal of Robust and Nonlinear Control},
  year = {1995},
  volume = {5},
  number = {2},
  month = {Apr},
  pages = {71-106},
  note = {Qr943 Times Cited:9 Cited References Count:27},
  issn = {1049-8923},
  abstract = {In this work we analyse singular H-2 and H-infinity problems, i.e.
	H-2 and H-infinity problems for which the usual Riccati equations
	become ill-posed owing to the existence of plant zeros at infinity.
	We adopt a two-step approach to the analysis. First we replace the
	usual Riccati equations with two generalized eigenproblems; these
	problems are always well-posed. Next we extract those structural
	elements which pertain to the troublesome plant zeros. We do this
	by introducing pre-compensators which cancel the offending zeros.
	In so doing, we temporarily relax the controller properness constraint
	that is traditionally imposed in H-2 and H-infinity problems by allowing
	pole-zero cancellations between the plant and controller at infinity.
	Since no significant added complexity of analysis results, we also
	treat the case of singularity due to finite j(omega)-axis plant zeros
	by relaxing the internal stability requirement and allowing finite
	j omega-axis pole-zero cancellations. The resultant theory allows
	us to specify necessary and sufficient conditions for the existence
	of solutions to singular H-2 and H-omega problems. The existence
	conditions and the resultant control laws are expressed directly
	in terms of the eigenvalues and eigenvectors of two Hamiltonian matrices
	associated with the problem. The theory also gives some insight into
	the character of the subset of all proper, internally stabilizing
	solutions, including whether this set is nonempty. An example is
	included.},
  endnotereftype = {Journal Article},
  file = {<Go to ISI>://A1995QR94300001},
  keywords = {h-infinity problem h-2 problem hamiltonian matrices feedback},
  shorttitle = {A Zero Compensation Approach to Singular H-2 and N-Infinity Problems}
}

@BOOK{CotPan92,
  author = {Cottle, R.W. and Pang, J.-S. and Stone, R. E.},
  title = {{T}he linear complementarity problem},
  year = {1992},
  editor = {Rheinboldt, W.},
  series = {Computer science and scientific computing},
  publisher = {Academic Press},
  address = {Boston},
  endnotereftype = {Book},
  keywords = {optimization},
  shorttitle = {The linear complementarity problem}
}

@ARTICLE{CoxDeM94,
  author = {Coxson, G.E. and DeMarco, C.L.},
  title = {{T}he computational complexity of approximating the minimal perturbation
	scaling to achieve instability in an interval matrix},
  journal = {Math. Control Signals Systems},
  year = {1994},
  volume = {7},
  number = {4},
  pages = {279-292},
  endnotereftype = {Journal Article},
  shorttitle = {The computational complexity of approximating the minimal perturbation
	scaling to achieve instability in an interval matrix}
}

@ARTICLE{Cur78,
  author = {\v{C}urilov, A.N.},
  title = {{O}n the solutions of quadratic matrix equations},
  journal = {Nonlinear Vibrations and Control Theory},
  year = {1978},
  volume = {2},
  pages = {24-33},
  endnotereftype = {Journal Article},
  shorttitle = {On the solutions of quadratic matrix equations}
}

@BOOK{CurZwa95,
  author = {Curtain, R.F. and Zwart, H.},
  title = {{A}n {I}ntroduction to {I}nfinite-{D}imensional {L}inear {S}ystems
	{T}heory},
  year = {1995},
  publisher = {Springer-Verlag},
  address = {New York},
  endnotereftype = {Book},
  shorttitle = {An Introduction to Infinite-Dimensional Linear Systems Theory}
}

@ARTICLE{CuzGer02,
  author = {Cuzzola, F.A. and Geromel, J.C. and Morari, M.},
  title = {{A}n improved approach for constrained robust model predictive control},
  journal = {Automatica},
  year = {2002},
  volume = {38},
  number = {7},
  month = {2002},
  pages = {1183-1189},
  endnotereftype = {Journal Article},
  file = {CuzGer02.pdf::Djvu;CuzGer02.pdf:CuzGer02.pdf:PDF;CuzGer02.pdf:CuzGer02.pdf:PDF},
  keywords = {mpc},
  shorttitle = {An improved approach for constrained robust model predictive control}
}

@BOOK{cwsohb09,
  title = {{R}obust {C}ontroller {S}ynthesis is {C}onvex for {S}ystems without
	{C}ontrol {C}hannel {U}ncertainties},
  year = {2009},
  editor = {Scherer, C.W.},
  series = {Model-Based Control},
  publisher = {Springer},
  address = {Dordrecht, Heidelberg, London},
  endnotereftype = {Edited Book},
  shorttitle = {Robust Controller Synthesis is Convex for Systems without Control
	Channel Uncertainties}
}

@ARTICLE{DaaBer01,
  author = {Daafouz, J. and Bernussou, J.},
  title = {{P}arameter dependent {L}yapunov functions for discrete time systems
	with time varying parametric uncertainties},
  journal = {Syst. Contr. Letters},
  year = {2001},
  volume = {43},
  number = {5},
  month = {2001/8/15},
  pages = {355-359},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/DaaBer01.pdf:Djvu;DaaBer01.pdf:DaaBer01.pdf:PDF;DaaBer01.pdf:DaaBer01.pdf:PDF},
  keywords = {lpv},
  shorttitle = {Parameter dependent Lyapunov functions for discrete time systems with
	time varying parametric uncertainties}
}

@INPROCEEDINGS{DaaMill02,
  author = {Daafouz, J. and Millerioux, G. and Iung, C.},
  title = {{A}bout {P}oly-{Q}uadratic {S}tability and {S}witched {S}ystems},
  booktitle = {15th {IFAC} World Congres},
  year = {2002},
  address = {Barcelona},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/DaaMill02.pdf},
  keywords = {switching},
  shorttitle = {About Poly-Quadratic Stability and Switched Systems}
}

@ARTICLE{DADul03,
  author = {D'Andrea, R. and Dullerud, G.E.},
  title = {{D}istributed {C}ontrol design for spatially interconnected systems},
  journal = {IEEE T. Automat. Contr.},
  year = {2003},
  volume = {48},
  number = {9},
  pages = {1478-1495},
  endnotereftype = {Journal Article},
  file = {AndDul03.pdf:AndDul03.pdf:PDF;AndDul03.pdf:AndDul03.pdf:PDF},
  keywords = {LMI distributed},
  shorttitle = {Distributed control design for spatially interconnected systems}
}

@INPROCEEDINGS{Dah88,
  author = {Dahleh, M.A. and Pearson, J.B.},
  title = {{O}ptimal {R}ejection of {P}ersistent {D}isturbances, {R}obust {S}tability,
	and {M}ixed {S}ensitivity {M}inimization},
  year = {1988},
  endnotereftype = {Conference Proceedings},
  keywords = {L1},
  shorttitle = {Optimal Rejection of Persistent Disturbances, Robust Stability, and
	Mixed Sensitivity Minimization}
}

@ARTICLE{DahPea87,
  author = {Dahleh, M.A. and Pearson, J.B.},
  title = {{$l_1$} {O}ptimal {F}eedback {C}ontrollers for {MIMO} {D}iscrete-{T}ime
	{S}ystems},
  journal = {IEEE T. Automat. Contr.},
  year = {1987},
  volume = {32},
  number = {4},
  pages = {314-322},
  abstract = {The problem considered is the design of a closed-loop system consisting
	of a multiinput, multioutput (MIMO) discrete-time plant and compensator
	in such a way that the system is internally stable and optimally
	tracks all persistent bounded inputs. The solution consists of two
	parts: first the calculation of the minimum value of the performance
	index (a weighted transfer function), which is done by solving a
	linear programming problem; and second, construction of the optimal
	transfer function by solving a set of linear equations. It is shown
	that, in general, the discrete-time problem will have a rational
	solution and thus appears to be of considerable practical significance.},
  endnotereftype = {Journal Article},
  keywords = {L1},
  shorttitle = {{$l_1$} Optimal Feedback Controllers for {MIMO} Discrete-Time Systems}
}

@ARTICLE{DahPea88,
  author = {Dahleh, M.A. and Pearson, J.B.},
  title = {{O}ptimal {R}ejection of {P}ersistent {D}isturbances, {R}obust {S}tability,
	and {M}ixed {S}ensitivity {M}inimization},
  journal = {IEEE T. Automat. Contr.},
  year = {1988},
  endnotereftype = {Journal Article},
  keywords = {L1},
  shorttitle = {Optimal Rejection of Persistent Disturbances, Robust Stability, and
	Mixed Sensitivity Minimization}
}

@ARTICLE{Dal98,
  author = {D'Alessandro, D.},
  title = {{A} parametrization of the nonnegative definite solutions of the
	algebraic {Riccati} equation},
  journal = {Automatica},
  year = {1998},
  volume = {34},
  number = {3},
  pages = {385-388},
  endnotereftype = {Journal Article},
  shorttitle = {A parametrization of the nonnegative definite solutions of the algebraic
	{Riccati} equation}
}

@PHDTHESIS{Dav94,
  author = {David, J.},
  title = {{A}lgorithms for analysis and design of robust controllers},
  year = {1994},
  endnotereftype = {Thesis},
  shorttitle = {Algorithms for analysis and design of robust controllers}
}

@INPROCEEDINGS{DavFot91,
  author = {Davis, M.H.A. and Fotopoulos, P.G.},
  title = {{O}n the approximate stochastic realization problem},
  booktitle = {Proc. 30th IEEE Conf. Decision and Control},
  year = {1991},
  pages = {1698-1699},
  address = {Brighton, UK},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/DavFot91.pdf:Djvu;DavFot91.pdf:DavFot91.pdf:PDF;DavFot91.pdf:DavFot91.pdf:PDF},
  keywords = {stochastic},
  shorttitle = {On the approximate stochastic realization problem}
}

@ARTICLE{DavLuo02,
  author = {Davidson, T.N. and Luo, Z.-Q. and Sturm, J.F.},
  title = {{L}inear matrix inequality formulation of spectral mask constraints
	with applications to {FIR} filter design},
  journal = {IEEE Trans. Signal Processing},
  year = {2002},
  volume = {50},
  number = {11},
  pages = {2702-2715},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/DavLuo02.pdf:Djvu;DavLuo02.pdf:DavLuo02.pdf:PDF;DavLuo02.pdf:DavLuo02.pdf:PDF},
  shorttitle = {Linear matrix inequality formulation of spectral mask constraints
	with applications to {FIR} filter design}
}

@ARTICLE{DegSaf88,
  author = {Degaston, R. R. E. and Safonov, M. G.},
  title = {{E}xact {C}alculation of the {M}ultiloop {S}tability {M}argin},
  journal = {IEEE T. Automat. Contr.},
  year = {1988},
  volume = {33},
  number = {2},
  month = {Feb},
  pages = {156-171},
  note = {L7865 Times Cited:124 Cited References Count:17},
  issn = {0018-9286},
  endnotereftype = {Journal Article},
  file = {<Go to ISI>://A1988L786500004},
  shorttitle = {Exact Calculation of the Multiloop Stability Margin}
}

@ARTICLE{deLdeM00,
  author = {Lathauwer, L. de and Moor, B.de and Vandewalle, J.},
  title = {{A} {M}ultilinear {S}ingular {V}alue {D}ecomposition},
  journal = {SIAM Journal on Matrix Analysis and Applications},
  year = {2000},
  volume = {21},
  number = {4},
  pages = {1253-1278},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/deLdeM00.pdf:Djvu;deLdeM00.pdf:deLdeM00.pdf:PDF;deLdeM00.pdf:deLdeM00.pdf:PDF},
  keywords = {svd},
  shorttitle = {A Multilinear Singular Value Decomposition}
}

@Book{DesVid75,
  author         = {Desoer, C.A. and Vidyasagar, M.},
  publisher      = {Academic Press},
  title          = {{F}eedback Systems: {I}nput-Output Approach},
  year           = {1975},
  address        = {London},
  endnotereftype = {Book},
  file           = {:DesVid75.pdf:PDF},
  groups         = {Generic, CSM20},
  shorttitle     = {Feedback Systems: {I}nput-Output Approach},
}

@PHDTHESIS{Det01,
  author = {Dettori, M.},
  title = {{LMI} techniques for control with applications to a {C}ompact {D}isc
	player mechanism},
  year = {2001},
  type = {Ph.{D}. thesis},
  address = {Delft},
  endnotereftype = {Thesis},
  file = {Det01.pdf::Djvu;Det01.pdf:Det01.pdf:PDF;Det01.pdf:Det01.pdf:PDF},
  school = {Delft University of Technology},
  shorttitle = {{LMI} techniques for control with applications to a {C}ompact {D}isc
	player mechanism}
}

@INPROCEEDINGS{DetSch00,
  author = {M. Dettori and C.W. Scherer},
  title = {{N}ew robust stability and performance conditions based on parameter
	dependent multipliers},
  booktitle = {Proc. 39th IEEE Conf. Decision and Control},
  year = {2000},
  pages = {6},
  address = {Sydney, Australia},
  endnotereftype = {Conference Proceedings},
  file = {DetSch00.pdf:DetSch00.pdf:PDF;DetSch00.pdf:DetSch00.pdf:PDF},
  shorttitle = {New robust stability and performance conditions based on parameter
	dependent multipliers}
}

@INPROCEEDINGS{DetSch01,
  author = {Dettori, M and Scherer, C.W.},
  title = {{LPV} design for a {CD} player: an experimental evaluation of performance},
  booktitle = {Proc. 40th IEEE Conf. Decision and Control},
  year = {2001},
  pages = {6 pages},
  endnotereftype = {Conference Proceedings},
  shorttitle = {{LPV} design for a {CD} player: an experimental evaluation of performance}
}

@ARTICLE{DetSch02,
  author = {Dettori, M. and Scherer, C.W.},
  title = {{MIMO} control design for a compact disk player with multiple norm
	specifications},
  journal = {IEEE Transactions on Control Systems Technology},
  year = {2002},
  volume = {10},
  number = {5},
  pages = {635-645},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/scherer/DetSch02.pdf:Djvu;DetSch02.pdf:Scherer\\DetSch02.pdf:PDF;DetSch02.pdf:Scherer\\DetSch02.pdf:PDF},
  keywords = {Multiobjective},
  shorttitle = {MIMO control design for a compact disk player with multiple norm specifications}
}

@INPROCEEDINGS{DetSch98a,
  author = {Dettori, M. and Scherer, C.W.},
  editor = {Tornambe, A. and Conte, G. and Perdon, A.M.},
  title = {{G}ain {S}cheduling {C}ontrol for a {CD} {P}layer {M}echanism {U}sing
	{LPV} {T}echniques},
  booktitle = {Proceedings of the 6th {IEEE} Mediterranean Conference on Control
	and Systems},
  year = {1998},
  publisher = {World Scientific},
  pages = {385-390},
  address = {Alghero, Italy},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Gain Scheduling Control for a {CD} Player Mechanism Using {LPV} Techniques}
}

@INPROCEEDINGS{DetSch98b,
  author = {Dettori, M and Scherer, C.W. and Prodanovic, V.},
  title = {{M}ixed {O}bjectives {MIMO} {C}ontrol {D}esign for a {C}ompact {D}isc
	{P}layer},
  booktitle = {Proc. Amer. Contr. Conf.},
  year = {1998},
  pages = {1284-1288},
  address = {Philadelphia},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Mixed Objectives {MIMO} Control Design for a Compact Disc Player}
}

@INPROCEEDINGS{DetSch98c,
  author = {Dettori, M. and Scherer, C.W.},
  title = {{R}obust {S}tability {A}nalysis for {P}arameter {D}ependent {S}ystems
	{U}sing {F}ull {B}lock {S}-{P}rocedure},
  booktitle = {Proc. 37th IEEE Conf. Decision and Control},
  year = {1998},
  pages = {2798-2799},
  address = {Tampa, FL},
  endnotereftype = {Conference Proceedings},
  file = {/bibfiles/detsch98.pdf::Djvu},
  shorttitle = {Robust Stability Analysis for Parameter Dependent Systems Using Full
	Block {S}-Procedure}
}

@INPROCEEDINGS{DetSch99a,
  author = {Dettori, M. and Scherer, C.W.},
  title = {{D}igital {I}mplementation of a {M}ixed {O}bjectives {MIMO} {C}ontroller
	for a {C}ompact {D}isc {P}layer {U}sing a {M}ultiprocessor {S}ystem},
  booktitle = {Proc. Amer. Contr. Conf.},
  year = {1999},
  pages = {3630-3634},
  address = {San Diego, CA},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Digital Implementation of a Mixed Objectives {MIMO} Controller for
	a Compact Disc Player Using a Multiprocessor System}
}

@INPROCEEDINGS{DetSch99b,
  author = {Dettori, M. and Scherer, C.W.},
  title = {{D}esign and {I}mplementation of a {G}ain {S}cheduled {C}ontroller
	for a {C}ompact {D}isc {P}layer},
  booktitle = {European Control Conf.},
  year = {1999},
  pages = {6},
  address = {Karlsruhe, Germany},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Design and Implementation of a Gain Scheduled Controller for a Compact
	Disc Player}
}

@INPROCEEDINGS{DeyDem11,
  author = {Deyang, Kong and Deming, Kong and Huajing, Fang},
  title = {{S}tability design for a class of nonlinear networked control systems},
  booktitle = {Electric Information and Control Engineering (ICEICE), 2011 International
	Conference on},
  year = {2011},
  month = {15-17 April 2011},
  pages = {3585-3588},
  endnotereftype = {Conference Proceedings},
  keywords = {Lyapunov methods control system synthesis convex programming delays
	distributed control linear matrix inequalities networked control
	systems nonlinear control systems state feedback Lyapunov-Krasovskii
	function convex optimization techniques linear matrix inequality
	methods network time delay nonlinear networked control systems stability
	design time delay systems},
  shorttitle = {Stability design for a class of nonlinear networked control systems}
}

@ARTICLE{DiaDal93,
  author = {Diaz-Bobillo, I.J. and Daleh, M.A.},
  title = {{M}inimization of the maximum peak-to-peak gain: the general multiblock
	problem},
  journal = {IEEE T. Automat. Contr.},
  year = {1993},
  volume = {38},
  pages = {1459-1483},
  endnotereftype = {Journal Article},
  shorttitle = {Minimization of the maximum peak-to-peak gain: the general multiblock
	problem}
}

@ARTICLE{Diaz-Bobillo93,
  author = {Diaz-Bobillo, I.J. and Dahleh, M.A.},
  title = {{M}inimization of the {M}aximum {P}eak-to-{P}eak {G}ain: {T}he {G}eneral
	{M}ultiblock {P}roblem},
  year = {1993},
  volume = {38},
  endnotereftype = {Journal Article},
  shorttitle = {Minimization of the Maximum Peak-to-Peak Gain: The General Multiblock
	Problem}
}

@PHDTHESIS{Die08,
  author = {Dietz, S.G.},
  title = {{A}nalysis and {C}ontrol of {U}ncertain {S}ystems by {U}sing {R}obust
	{S}emi-{D}efinite {P}rogramming},
  year = {2008},
  address = {Delft},
  endnotereftype = {Thesis},
  file = {Die08.pdf:Die08.pdf:PDF;Die08.pdf:Die08.pdf:PDF},
  school = {Delft University of Technology},
  shorttitle = {Analysis and Control of Uncertain Systems by Using Robust Semi-Definite
	Programming}
}

@ARTICLE{DieSch08,
  author = {Dietz, S. G. and Scherer, C.W.},
  title = {{V}erifying exactness of relaxations for robust semi-definite programs
	by solving polynomial systems},
  journal = {Linear Algebra and Its Applications},
  year = {2008},
  volume = {429},
  number = {7},
  month = {Oct 1},
  pages = {1758-1778},
  note = {351PA Times Cited:1 Cited References Count:29},
  issn = {0024-3795},
  abstract = {In this paper, robust semi-definite programs are considered with the
	goal of verifying whether a particular LMI relaxation is exact. A
	procedure is presented showing that verifying exactness amounts to
	solving a polynomial system. The main contribution of the paper is
	a new algorithm to compute all isolated solutions of a system of
	polynomials. Standard techniques in computational algebra, often
	referred to as Stetter's method [H.J. Stetter, Numerical Polynomial
	Algebra, SIAM, 2004], involve the computation of a Grobner basis
	of the ideal generated by the polynomials and further require joint
	eigenvector computations in order to arrive at the zeros of the polynomial
	system. Our algorithm does neither require structural knowledge on
	the polynomial system, nor does it rely on the computation of joint
	eigenvectors. (c) 2008 Elsevier Inc. All rights reserved.},
  endnotereftype = {Journal Article},
  file = {<Go to ISI>://000259435200031:Djvu;DieSch08.pdf:DieSch08.pdf:PDF;DieSch08.pdf:DieSch08.pdf:PDF},
  keywords = {robust sdp lmi relaxations verification of exactness polynomial systems},
  shorttitle = {Verifying exactness of relaxations for robust semi-definite programs
	by solving polynomial systems}
}

@ARTICLE{DieSch10,
  author = {Dietz, S. G. and Scherer, C.W.},
  title = {{R}obust output feedback control against disturbance filter uncertainty
	described by dynamic integral quadratic constraints},
  journal = {International Journal of Robust and Nonlinear Control},
  year = {2010},
  volume = {20},
  number = {17},
  month = {Nov 25},
  pages = {1903-1919},
  note = {680ET Times Cited:0 Cited References Count:39},
  issn = {1049-8923},
  abstract = {Motivated by a robust disturbance rejection problem, in which disturbances
	are described by an uncertain filter at the plant input, a convex
	solution is presented for the robust output feedback controller synthesis
	problem for a particularly structured plant. The uncertainties are
	characterized by an integral quadratic constraint (IQC) with general
	frequency-dependent multipliers. By exploiting the structure of the
	generalized plant, linear matrix inequality (LMI)-synthesis conditions
	are derived in order to guarantee a specified L(2)-gain or H(2)-norm
	performance level, provided that the IQC multipliers are described
	by LMI constraints. Moreover, it is shown that part of the controller
	variables can be eliminated. Finally, the rejection of non-stationary
	sinusoidal disturbance signals is considered. In a numerical example,
	it is shown that specifying a bound on the rate-of-variation of the
	time-varying frequency can improve the performance if compared with
	the static IQC multipliers. Copyright (C) 2009 John Wiley & Sons,
	Ltd.},
  endnotereftype = {Journal Article},
  file = {<Go to ISI>://000284215900001:Djvu;DieSch10.pdf:Scherer\\DieSch10.pdf:PDF},
  keywords = {robust control output feedback disturbance rejection linear matrix
	inequalities (lmis) integral quadratic constraints (iqcs) convexity
	systems optimization stabilization parameters rates},
  shorttitle = {Robust output feedback control against disturbance filter uncertainty
	described by dynamic integral quadratic constraints}
}

@INPROCEEDINGS{DijRam00,
  author = {Dijkstra, B.G. and Rambaratsingh, N.J. and Bosgra, O.H. and Steinbuch,
	M. and Kerssemakers, S. and Scherer, C.W.},
  title = {{I}nput design for optimal discrete time point-to-point motion of
	an industrial xy-positioning table},
  booktitle = {Proc. 39th IEEE Conf. Decision and Control},
  year = {2000},
  pages = {6 pages},
  address = {Sydney, Australia},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Input design for optimal discrete time point-to-point motion of an
	industrial xy-positioning table}
}

@INCOLLECTION{Din95,
  author = {Ding, X. and Guo, L.},
  title = {{S}eparation {S}tructure of {O}utput {F}eedback {C}ontrollers and
	its {A}pplication to {L}ow-{O}rder {C}ontroller {D}esign},
  booktitle = {Proc. 34th IEEE Conf. Decision and Control},
  year = {1995},
  pages = {3203-3208},
  address = {New Orleans, LO},
  endnotereftype = {Book Section},
  keywords = {observer structure},
  shorttitle = {Separation Structure of Output Feedback Controllers and its Application
	to Low-Order Controller Design}
}

@INPROCEEDINGS{Dja94,
  author = {Djaferis, T.},
  title = {{R}obust performance design via simultaneous polynomial stabilizatioin},
  booktitle = {Proc. Amer. Contr. Conf.},
  year = {1994},
  pages = {1008-1012},
  address = {Baltimore, Maryland},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Robust performance design via simultaneous polynomial stabilizatioin}
}

@INPROCEEDINGS{DjaPep01,
  author = {Djaferis, T.E. and Pepyne, D.L. and Cushing, D.M.},
  title = {{A} new parameterization of stable polynomials},
  booktitle = {Proc. 40th IEEE Conf. Decision and Control},
  year = {2001},
  pages = {1549-1550},
  address = {Orlando, FL},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/DjaPep01.pdf:Djvu;DjaPep01.pdf:DjaPep01.pdf:PDF;DjaPep01.pdf:DjaPep01.pdf:PDF},
  keywords = {Hurwitz},
  shorttitle = {A new parameterization of stable polynomials}
}

@INPROCEEDINGS{DonHol01,
  author = {Donnellan, J.A. and Holohan, A.M.},
  title = {{T}ight bounds for robust sensitivity reduction from functional analysis},
  booktitle = {European Control Conf.},
  year = {2001},
  pages = {1548-1552},
  address = {Porto, Portugal},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/DonHol01.pdf:Djvu;DonHol01.pdf:DonHol01.pdf:PDF;DonHol01.pdf:DonHol01.pdf:PDF},
  shorttitle = {Tight bounds for robust sensitivity reduction from functional analysis}
}

@INPROCEEDINGS{DonMoh99,
  author = {De {D}on/'{a}, J.A. and Moheimani, S.O.R and Goodwin, G.},
  title = {{A}llowing for over-saturation in robust switching control of a class
	of uncertain systems},
  booktitle = {Proc. 38th IEEE Conf. Decision and Control},
  year = {1999},
  pages = {3053-3058},
  address = {Phoenix, Arizona},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/DonMoh99.pdf:Djvu;DonMoh99.pdf:DonMoh99.pdf:PDF;DonMoh99.pdf:DonMoh99.pdf:PDF},
  shorttitle = {Allowing for over-saturation in robust switching control of a class
	of uncertain systems}
}

@ARTICLE{Doo90,
  author = {Van Dooren, P.},
  title = {{R}ational and {P}olynomial {M}atrix {F}actorizations via {R}ecursive
	{P}ole-{Z}ero {C}ancellation},
  journal = {Linear Alg. Appl.},
  year = {1990},
  volume = {137/138},
  pages = {663-697},
  endnotereftype = {Journal Article},
  file = {Doo90.pdf::Djvu;Doo90.pdf:Doo90.pdf:PDF;Doo90.pdf:Doo90.pdf:PDF},
  keywords = {factorization},
  shorttitle = {Rational and Polynomial Matrix Factorizations via Recursive Pole-Zero
	Cancellation}
}

@ARTICLE{Dooren1981,
  author = {Dooren, P.M. Van},
  title = {{T}he generalized eigenstructure problem in linear system theory},
  journal = {IEEE T. Automat. Contr.},
  year = {1981},
  pages = {111-129},
  endnotereftype = {Journal Article},
  shorttitle = {The generalized eigenstructure problem in linear system theory}
}

@ARTICLE{Doy82,
  author = {Doyle, J.C.},
  title = {{A}nalysis of {F}eedback {S}ystems with {S}tructured {U}ncertainties},
  journal = {{IEE Proceedings}},
  year = {1982},
  volume = {{Part D}},
  number = {6},
  pages = {242-250},
  endnotereftype = {Journal Article},
  shorttitle = {Analysis of Feedback Systems with Structured Uncertainties}
}

@ARTICLE{DoyGlo88,
  author = {Doyle, J. and Glover, K.},
  title = {{S}tate-space formulae for all stabilizing controllers that satisfy
	an {$H_\infty$} norm bound and relations to risk sensitivity},
  journal = {Syst. Control Lett.},
  year = {1988},
  volume = {11},
  pages = {167-172},
  endnotereftype = {Journal Article},
  shorttitle = {State-space formulae for all stabilizing controllers that satisfy
	an {$H_\infty$} norm bound and relations to risk sensitivity}
}

@INPROCEEDINGS{DoyPac87,
  author = {Doyle, J.C. and Packard, A.},
  title = {{U}ncertain multivariable systems from a state space perspective},
  booktitle = {Proc. Amer. Contr. Conf.},
  year = {1987},
  pages = {2147-2152},
  address = {Minneapolis, MN},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/DoyPac87.pdf:PDF;DoyPac87.pdf:DoyPac87.pdf:PDF;DoyPac87.pdf:DoyPac87.pdf:PDF},
  keywords = {robust},
  shorttitle = {Uncertain multivariable systems from a state space perspective}
}

@INPROCEEDINGS{DoyPac91,
  author = {Doyle, J. and Packard, A. and Zhou, K.},
  title = {{R}eview of {LFT's}, {LMI's}, and $/mu$},
  booktitle = {Proc. 30th IEEE Conf. Decision and Control},
  year = {1991},
  pages = {1227-1232},
  address = {Brighton, UK},
  endnotereftype = {Conference Proceedings},
  file = {DoyPac91.pdf:DoyPac91.pdf:PDF},
  shorttitle = {Review of {LFT's}, {LMI's}, and $/mu$}
}

@INPROCEEDINGS{DoySmi87,
  author = {Doyle, J. C. and Smith, R.S. and Enns, D. F.},
  title = {{C}ontrol of plants with input saturation nonlinearities},
  booktitle = {Proc. Amer. Contr. Conf.},
  year = {1987},
  pages = {1034-1039},
  address = {Minneapolis, MN},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Control of plants with input saturation nonlinearities}
}

@ARTICLE{DoyZho94,
  author = {Doyle, J. and Zhou, K. and Glover, K. and Bodenheimer, B.},
  title = {{Mixed} {${/cal H}_2$} and {${/cal H}_\infty$} performance objectives
	{II}: {Optimal} control.},
  journal = {IEEE T. Automat. Contr.},
  year = {1994},
  volume = {39},
  pages = {1575-1586},
  endnotereftype = {Journal Article},
  shorttitle = {{Mixed} {${/cal H}_2$} and {${/cal H}_\infty$} performance objectives
	{II}: {Optimal} control.}
}

@ARTICLE{DraHal95,
  author = {Dragan, V. and Halanay, A. and Stoica, A.},
  title = {{R}emarks on order reduction for a robustly suboptimal controller
	via singular perturbations},
  journal = {Syst. Control Lett.},
  year = {1995},
  volume = {??},
  pages = {317-320},
  endnotereftype = {Journal Article},
  shorttitle = {Remarks on order reduction for a robustly suboptimal controller via
	singular perturbations}
}

@BOOK{DufPet67,
  author = {Duffin, R.J. and Peterson, E.L. and Zener, C.},
  title = {{G}eometric programming - theory and application},
  year = {1967},
  publisher = {John Wiley /\& Sons},
  endnotereftype = {Book},
  shorttitle = {Geometric programming - theory and application}
}

@BOOK{Dul96,
  author = {Dullerud, G.E.},
  title = {{C}ontrol of {U}ncertain {S}ampled-{D}ata {S}ystems},
  year = {1996},
  publisher = {Birkh\"auser},
  address = {Boston},
  endnotereftype = {Book},
  shorttitle = {Control of Uncertain Sampled-Data Systems}
}

@INPROCEEDINGS{DulDA98,
  author = {Dullerud, G. E. and D'Andrea, R. and Lall, S. G.},
  title = {{C}ontrol of spatially varying distributed systems},
  booktitle = {Decision and Control, 1998. Proceedings of the 37th IEEE Conference
	on},
  year = {1998},
  volume = {2},
  month = {16-18 Dec 1998},
  pages = {1889-1893 vol.2},
  endnotereftype = {Conference Proceedings},
  keywords = {control system analysis control system synthesis distributed parameter
	systems &Lscr <sub>2</sub>-induced norm control design convex conditions
	operator theoretic tools spatial structure spatially varying distributed
	systems},
  shorttitle = {Control of spatially varying distributed systems}
}

@INPROCEEDINGS{DulDA99,
  author = {Dullerud, G. E. and D'Andrea, D.},
  title = {{D}istributed control of inhomogeneous systems, with boundary conditions},
  booktitle = {Decision and Control, 1999. Proceedings of the 38th IEEE Conference
	on},
  year = {1999},
  volume = {1},
  month = {1999},
  pages = {186-190 vol.1},
  endnotereftype = {Conference Proceedings},
  keywords = {Hilbert spaces control system analysis control system synthesis distributed
	parameter systems matrix algebra stability boundary conditions control
	design convex conditions distributed control distributed spatial
	structure inhomogeneous systems l<sub>2</sub>-induced norm operator
	theoretic tools},
  shorttitle = {Distributed control of inhomogeneous systems, with boundary conditions}
}

@ARTICLE{DulDan04,
  author = {Dullerud, G. E. and D'Andrea, R.},
  title = {{D}istributed control of heterogeneous systems},
  journal = {IEEE T. Automat. Contr.},
  year = {2004},
  volume = {49},
  number = {12},
  pages = {2113-2128},
  issn = {0018-9286},
  endnotereftype = {Journal Article},
  file = {DulDan04.pdf:DulDan04.pdf:PDF},
  keywords = {control system analysis control system synthesis distributed control
	interconnected systems distributed spatial structure heterogeneous
	systems operator theoretic tools shift invariant system dynamics
	l<sub>2</sub>-induced norm},
  shorttitle = {Distributed control of heterogeneous systems}
}

@ARTICLE{DulLal99,
  author = {Dullerud, G.E. and Lall, S.},
  title = {{A} new approach for analysis and synthesis of time-varying systems},
  journal = {IEEE T. Automat. Contr.},
  year = {1999},
  volume = {44},
  number = {8},
  pages = {1486 - 1497},
  endnotereftype = {Journal Article},
  file = {DulLal99.pdf::Djvu;DulLal99.pdf:DulLal99.pdf:PDF;DulLal99.pdf:DulLal99.pdf:PDF},
  keywords = {robust},
  shorttitle = {A new approach for analysis and synthesis of time-varying systems}
}

@BOOK{DulPag99,
  author = {Dullerud, G.E. and Paganini, F.},
  title = {{A} course in robust control theory: a convex approach},
  year = {1999},
  editor = {Marsden, J.E. et al.},
  volume = {36},
  series = {Texts in Applied Mathematics},
  publisher = {Springer-Verlag},
  address = {New York},
  endnotereftype = {Book},
  keywords = {robust},
  shorttitle = {A course in robust control theory: a convex approach}
}

@INPROCEEDINGS{Dun05,
  author = {Duncan, S.},
  title = {{C}ontrolling {S}patially {I}nvariant {S}ystems using {F}inite {A}rrays
	of {A}ctuators and {S}ensors},
  booktitle = {Proc. 44th IEEE Conf. Decision and Control},
  year = {2005},
  month = {12-15 Dec. 2005},
  pages = {5941--5946},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Controlling Spatially Invariant Systems using Finite Arrays of Actuators
	and Sensors}
}

@BOOK{Dur70,
  author = {Duren, P.L},
  title = {{T}heorem of {$H^p$} {S}paces},
  year = {1970},
  publisher = {Academic Press},
  address = {New York, London},
  endnotereftype = {Book},
  shorttitle = {Theorem of {$H^p$} Spaces}
}

@INCOLLECTION{Dym98,
  author = {Dym, H.},
  editor = {Axler, S. and McCarthy, J.E. and Sarason, D.},
  title = {{A} basic interpolation problem},
  booktitle = {Holomorphic Spaces},
  year = {1998},
  publisher = {Cambrigde University Press},
  pages = {381-423},
  endnotereftype = {Book Section},
  shorttitle = {A basic interpolation problem}
}

@INPROCEEDINGS{EbiSeb10,
  author = {Ebihara, Y. and Sebe, N.},
  title = {{D}ecentralized control for discrete-time {LTI} systems: {L}ower
	bound analysis of ${H}_\infty$ performance achievable via {LTI} controllers},
  booktitle = {Proc. American Control Conf.},
  year = {2010},
  month = {June 30 2010-July 2 2010},
  isbn = {0743-1619},
  pages = {5602-5607},
  endnotereftype = {Conference Proceedings},
  keywords = {H<sup>&#x221E </sup> control convex programming decentralised control
	discrete time systems time-varying systems H<sub>&#x221E </sub> performance
	achievable convex optimization decentralized control discrete-time
	LTI systems discrete-time linear time-invariant systems heuristic
	optimization lower bound analysis},
  shorttitle = {Decentralized control for discrete-time LTI systems: Lower bound analysis
	of H<inf>&#x221E;</inf> performance achievable via LTI controllers}
}

@BOOK{EffRua00,
  author = {Effros, E.G. and Ruan, Z.-J.},
  title = {{O}perator {S}paces},
  year = {2000},
  editor = {Neumann, H.G. Dales and P.M.},
  series = {London Mathematical Society Monographs New Series},
  publisher = {Clarendon Press},
  address = {London},
  endnotereftype = {Book},
  shorttitle = {Operator Spaces}
}

@ARTICLE{Eli97,
  author = {Elia, N. and Dahleh, M.A.},
  title = {{C}ontroller {D}esign with {M}ultiple {O}bjectives},
  journal = {IEEE T. Automat. Contr.},
  year = {1997},
  volume = {42},
  pages = {596-613},
  endnotereftype = {Journal Article},
  keywords = {Lp, Duality},
  shorttitle = {Controller Design with Multiple Objectives}
}

@ARTICLE{EliDah98,
  author = {Elia, N. and Dahleh, M.},
  title = {{A} quadratic programming approach for solving the {$l_1$} multiblock
	problem},
  journal = {IEEE T. Automat. Contr.},
  year = {1998},
  volume = {43},
  pages = {1242-1252},
  endnotereftype = {Journal Article},
  shorttitle = {A quadratic programming approach for solving the {$l_1$} multiblock
	problem}
}

@ARTICLE{EszHol97,
  author = {Eszter, E.G. and Hollot, C.V.},
  title = {{A}n {IQC} for uncertainty satisfying both norm-bounded and passivity
	constraints},
  journal = {Automatica},
  year = {1997},
  volume = {33},
  number = {8},
  month = {1997///},
  pages = {1545-1548},
  note = {TY - JOUR Cited By (since 1996): 2 Export Date: 15 October 2007 Source:
	Scopus},
  endnotereftype = {Journal Article},
  file = {http://www.scopus.com/scopus/inward/record.file?eid=2-s2.0-0031207059&partnerID=40&rel=R6.5.0},
  shorttitle = {An IQC for uncertainty satisfying both norm-bounded and passivity
	constraints}
}

@INPROCEEDINGS{Fag91,
  author = {Fagnani, F.},
  title = {{A}n operator-theoretic approach to the mixed-sensitivity minimization
	problem},
  booktitle = {Syst. Control Lett.},
  year = {1991},
  pages = {227-235},
  endnotereftype = {Conference Proceedings},
  shorttitle = {An operator-theoretic approach to the mixed-sensitivity minimization
	problem}
}

@INPROCEEDINGS{Fai86,
  author = {Faibusovich, L.E.},
  title = {{A}lgebraic {R}iccati equation and symplectic algebra},
  booktitle = {International Journal of Control},
  year = {1986},
  pages = {781-792},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Algebraic {R}iccati equation and symplectic algebra}
}

@INPROCEEDINGS{Fai87,
  author = {Faibusovich, L.E.},
  title = {{M}atrix {R}iccati inequality: existence of solutions},
  booktitle = {Syst. Control Lett.},
  year = {1987},
  pages = {59-64},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Matrix {R}iccati inequality: existence of solutions}
}

@INPROCEEDINGS{FanAnt08,
  author = {Fang, H. and Antsaklis, P.},
  title = {{D}istributed {C}ontrol with {I}ntegral {Q}uadratic {C}onstraints},
  booktitle = {17th IFAC World Congress},
  year = {2008},
  pages = {574-580},
  address = {Seoul, Korea},
  endnotereftype = {Conference Proceedings},
  file = {FanAnt08.pdf:FanAnt08.pdf:PDF;FanAnt08.pdf:FanAnt08.pdf:PDF},
  keywords = {distributed iqc},
  shorttitle = {Distributed Control with Integral Quadratic Constraints}
}

@BOOK{FanZhu98,
  author = {Fan, L.S. and Zhu, C.},
  title = {{P}rinciples of {G}as-{S}olid {F}lows},
  year = {1998},
  publisher = {Cambridge University Press},
  address = {Cambridge},
  endnotereftype = {Book},
  shorttitle = {Principles of Gas-Solid Flows}
}

@INPROCEEDINGS{FarBam04,
  author = {Fardad, M. and Bamieh, B.},
  title = {{A} perturbation analysis of parametric resonance and periodic control
	in spatially distributed systems},
  booktitle = {Proc. 43rd IEEE Conf. Decision and Control},
  year = {2004},
  volume = {4},
  month = {14-17 Dec. 2004},
  isbn = {0191-2216},
  pages = {3786-3791 Vol.4},
  endnotereftype = {Conference Proceedings},
  keywords = {distributed parameter systems periodic control stability parametric
	resonance perturbation analysis spatially distributed systems spatially
	periodic coefficients stability properties strict stability},
  shorttitle = {A perturbation analysis of parametric resonance and periodic control
	in spatially distributed systems}
}

@INPROCEEDINGS{FarBam05,
  author = {Fardad, M. and Bamieh, B.},
  title = {{T}he {N}yquist {S}tability {C}riterion {F}or {A} {C}lass {O}f {S}patially
	{P}eriodic {S}ystems},
  booktitle = {Proc. 44th IEEE Conf. Decision and Control},
  year = {2005},
  month = {12-15 Dec. 2005},
  pages = {5275-5280},
  endnotereftype = {Conference Proceedings},
  shorttitle = {The Nyquist Stability Criterion For A Class Of Spatially Periodic
	Systems}
}

@INPROCEEDINGS{FarBam05a,
  author = {Fardad, M. and Bamieh, B.},
  title = {{A} perturbation approach to the {H}<sup>2</sup> analysis of spatially
	periodic systems},
  booktitle = {Proc. American Control Conf.},
  year = {2005},
  month = {8-10 June 2005},
  isbn = {0743-1619},
  pages = {4838-4843 vol. 7},
  endnotereftype = {Conference Proceedings},
  keywords = {frequency-domain analysis linear systems periodic control perturbation
	techniques H<sup>&infin </sup> control frequency domain methods infinite-dimensional
	LTI linear system perturbation analysis spatially distributed systems
	spatially periodic systems H<sup>2</sup> analysis},
  shorttitle = {A perturbation approach to the H<sup>2</sup> analysis of spatially
	periodic systems}
}

@INPROCEEDINGS{FarBam06,
  author = {Fardad, M. and Bamieh, B.},
  title = {{O}n {S}tability and the {S}pectrum {D}etermined {G}rowth {C}ondition
	for {S}patially {P}eriodic {S}ystems},
  booktitle = {Decision and Control, 2006 45th IEEE Conference on},
  year = {2006},
  month = {13-15 Dec. 2006},
  pages = {3956-3961},
  endnotereftype = {Conference Proceedings},
  keywords = {asymptotic stability distributed parameter systems periodic control
	time-varying systems exponential stability spatially invariant operator
	spatially periodic operator spatially periodic systems spectrum determined
	growth condition},
  shorttitle = {On Stability and the Spectrum Determined Growth Condition for Spatially
	Periodic Systems}
}

@INPROCEEDINGS{FarJov08,
  author = {Fardad, M. and Jovanovic, M. R.},
  title = {{O}n the state-space design of optimal controllers for distributed
	systems with finite communication speed},
  booktitle = {Decision and Control, 2008. CDC 2008. 47th IEEE Conference on},
  year = {2008},
  month = {9-11 Dec. 2008},
  isbn = {0191-2216},
  pages = {5488-5493},
  endnotereftype = {Conference Proceedings},
  keywords = {Lyapunov methods algebra control system synthesis distributed control
	iterative methods optimal control relaxation theory state-space methods
	transient response Steiglitz-McBride algorithm algebraic Lyapunov
	equation finite communication speed impulse response iterative numerical
	scheme optimal distributed controller state-space design},
  shorttitle = {On the state-space design of optimal controllers for distributed systems
	with finite communication speed}
}

@ARTICLE{FarJov08a,
  author = {Fardad, M. and Jovanovic, M. R. and Bamieh, B.},
  title = {{F}requency {A}nalysis and {N}orms of {D}istributed {S}patially {P}eriodic
	{S}ystems},
  journal = {IEEE T. Automat. Contr.},
  year = {2008},
  volume = {53},
  number = {10},
  pages = {2266-2279},
  issn = {0018-9286},
  endnotereftype = {Journal Article},
  keywords = {distributed parameter systems feedback frequency response linear systems
	periodic control random processes robust control time-varying systems
	vibration control H<sup>2</sup> norm feedback modifications frequency
	analysis linear distributed systems spatial-frequency domain representation
	spatially cyclostationary random fields spatially invariant systems
	spatially periodic coefficients time periodic systems vibrational
	control},
  shorttitle = {Frequency Analysis and Norms of Distributed Spatially Periodic Systems}
}

@BOOK{Fei98,
  author = {Feintuch, A.},
  title = {{R}obust {C}ontrol {T}heory in {H}ilbert {S}pace},
  year = {1998},
  publisher = {Springer-Verlag},
  address = {New York},
  endnotereftype = {Book},
  shorttitle = {Robust Control Theory in {H}ilbert Space}
}

@ARTICLE{FeiMar99,
  author = {Feintuch, A. and Markus, A.},
  title = {{T}he {T}oeplitz-{H}ausdorff theorem and robust stability theory},
  journal = {Mathematical Intelligencer},
  year = {1999},
  volume = {21},
  number = {3},
  month = {Sum},
  pages = {33-37},
  endnotereftype = {Journal Article},
  shorttitle = {The {T}oeplitz-{H}ausdorff theorem and robust stability theory}
}

@INPROCEEDINGS{FenYil02,
  author = {Fen, Wu and Yildizoglu, S. E.},
  title = {{A} distributed parameter dependent control design for a flexible
	beam problem},
  booktitle = {Proc. American Control Conf.},
  year = {2002},
  volume = {4},
  month = {2002},
  isbn = {0743-1619},
  pages = {3174-3179 vol.4},
  endnotereftype = {Conference Proceedings},
  keywords = {control system synthesis distributed control distributed parameter
	systems flexible structures linear systems matrix algebra optimisation
	convex optimization distributed parameter system flexible beam linear
	fractional form linear matrix inequality parameter-varying system
	spatially interconnected system},
  shorttitle = {A distributed parameter dependent control design for a flexible beam
	problem}
}

@ARTICLE{Fer00,
  author = {Ferrier, C.},
  title = {{C}omputation of the distance to semi-algebraic sets},
  journal = {ESAIM: Control, Optimization and Calculus of Variations},
  year = {2000},
  volume = {5},
  pages = {139-156},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/Fer00.pdf:Djvu;Fer00.pdf:Fer00.pdf:PDF;Fer00.pdf:Fer00.pdf:PDF},
  keywords = {relaxation},
  shorttitle = {Computation of the distance to semi-algebraic sets}
}

@ARTICLE{FerApk96,
  author = {Feron, E. and Apkarian, P. and Gahinet, P.},
  title = {{A}nalysis and synthesis of robust control systems via parameter-dependent
	{L}yapunov fucntions},
  journal = {IEEE T. Automat. Contr.},
  year = {1996},
  volume = {41},
  pages = {1041-1046},
  endnotereftype = {Journal Article},
  shorttitle = {Analysis and synthesis of robust control systems via parameter-dependent
	{L}yapunov fucntions}
}

@ARTICLE{Feron97,
  author = {Feron, E.},
  title = {{A}nalysis of robust {${/cal H}_2$} performance using multiplier
	theory},
  journal = {SIAM J. Contr. Optim.},
  year = {1997},
  volume = {35},
  pages = {160-177},
  endnotereftype = {Journal Article},
  file = {Fer97.pdf},
  shorttitle = {Analysis of robust {${/cal H}_2$} performance using multiplier theory}
}

@ARTICLE{Fil94,
  author = {Filbir, F.D.},
  title = {{C}omputation of the structured stability radius via matrix sign
	functions},
  journal = {Syst. Control Lett.},
  year = {1994},
  number = {5},
  pages = {341-350},
  endnotereftype = {Journal Article},
  shorttitle = {Computation of the structured stability radius via matrix sign functions}
}

@ARTICLE{FitGol04,
  author = {Fite, K.B. and Goldfarb, M.},
  title = {{L}oop {S}haping for {T}ransparency and {S}tability {R}obustness
	in {T}ime-{D}elayed {B}ilateral {T}elemanipulation {B}ilateral},
  journal = {Journal of dynamic systems, measurement, and control.},
  year = {2004},
  volume = {126},
  pages = {650-656},
  endnotereftype = {Journal Article},
  file = {FitGol04.pdf::Djvu;FitGol04.pdf:FitGol04.pdf:PDF;FitGol04.pdf:FitGol04.pdf:PDF},
  keywords = {teleoperation},
  shorttitle = {Loop Shaping for Transparency and Stability Robustness in Time-Delayed
	Bilateral Telemanipulation Bilateral}
}

@ARTICLE{FitSpe01,
  author = {Fite, K.B. and Speich, J.E. and Goldfarb, M.},
  title = {{T}ransparency and {S}tability {R}obustness in {T}wo-{C}hannel {B}ilateral
	{T}elemanipulation},
  journal = {Journal of dynamic systems, measurement, and control.},
  year = {2001},
  volume = {123},
  pages = {400-407},
  endnotereftype = {Journal Article},
  file = {FitSpe01.pdf},
  keywords = {teleoperation},
  shorttitle = {Transparency and Stability Robustness in Two-Channel Bilateral Telemanipulation}
}

@ARTICLE{FoiFra95,
  author = {Foias, C. and Frazho, A.E. and Li, W.S.},
  title = {{O}n {$H^2$} minimization for the {C}aratheodory-{S}chur interpolation
	problem},
  journal = {Integral Equations and Operator Theory},
  year = {1995},
  number = {1},
  pages = {24-32},
  endnotereftype = {Journal Article},
  shorttitle = {On {$H^2$} minimization for the Caratheodory-Schur interpolation problem}
}

@BOOK{Fol99,
  author = {Folland, G.B.},
  title = {{R}eal {A}nalysis},
  year = {1999},
  publisher = {John Wiley /\& Sons},
  endnotereftype = {Book},
  shorttitle = {Real Analysis}
}

@ARTICLE{Fon01,
  author = {Fontes, F.A.C.C.},
  title = {{A} {G}eneral {F}ramework to {D}esign {S}tabilizing {N}onlinear {M}odel
	{P}redictive {C}ontrollers},
  journal = {Syst. Control Lett.},
  year = {2001},
  volume = {42},
  pages = {127-143},
  endnotereftype = {Journal Article},
  shorttitle = {A General Framework to Design Stabilizing Nonlinear Model Predictive
	Controllers}
}

@INPROCEEDINGS{FonWei04,
  author = {Font, I. and Weiland, S. and Franken, M. and Steinbuch, M.},
  title = {{H}aptic feedback designs in teleoperation systems for minimal invasive
	surgery},
  booktitle = {IEEE Int. Conf. Systems Man Cybernetics},
  year = {2004},
  address = {Den Haag, The Netherlands},
  endnotereftype = {Conference Proceedings},
  file = {FonWei04.pdf},
  shorttitle = {Haptic feedback designs in teleoperation systems for minimal invasive
	surgery}
}

@ARTICLE{For00,
  author = {Forsgren, A.},
  title = {{O}ptimality conditions for nonconvex semidefinite programming},
  journal = {Math. Program.},
  year = {2000},
  volume = {88},
  pages = {105-128},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/For00.pdf:Djvu;For00.pdf:For00.pdf:PDF;For00.pdf:For00.pdf:PDF},
  keywords = {sdp},
  shorttitle = {Optimality conditions for nonconvex semidefinite programming}
}

@Book{Fra87,
  author         = {Francis, B.A.},
  publisher      = {Springer-Verlag},
  title          = {{A} course in {$H_\infty$} control theory},
  year           = {1987},
  address        = {Berlin},
  endnotereftype = {Book},
  file           = {:Books/Control/People/Francis/Fra87.pdf:PDF;:Books2/Control/People/Francis/Fra87.pdf:PDF;:Books/Control/Delay/Fra87.pdf:PDF},
  shorttitle     = {{A} course in {$H_\infty$} control theory},
}

@ARTICLE{FraDoy87,
  author = {Francis, B.A. and Doyle, J.C.},
  title = {{${/cal H}^\infty$}-{O}ptimal {F}eedback {C}ontrollers for {L}inear
	{M}ultivariable {S}ystems},
  journal = {SIAM J. Contr. Optim.},
  year = {1987},
  volume = {25},
  pages = {815-844},
  endnotereftype = {Journal Article},
  shorttitle = {{${/cal H}^\infty$}-Optimal Feedback Controllers for Linear Multivariable
	Systems}
}

@INPROCEEDINGS{Fre01,
  author = {Freeman, R.A.},
  title = {{O}n the necessity of the small-gain theorem in the performance analysis
	of nonlinear systems},
  booktitle = {Proc. 40th IEEE Conf. Decision and Control},
  year = {2001},
  pages = {51-56},
  address = {Orlando, FL},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/Fre01.pdf:Djvu;Fre01.pdf:Fre01.pdf:PDF;Fre01.pdf:Fre01.pdf:PDF},
  keywords = {iqc},
  shorttitle = {On the necessity of the small-gain theorem in the performance analysis
	of nonlinear systems}
}

@BOOK{Fre71,
  author = {Freud, G},
  title = {{O}rthogonal {P}olynomials},
  year = {1971},
  publisher = {Pergamon Press},
  address = {Budapest},
  endnotereftype = {Book},
  shorttitle = {Orthogonal Polynomials}
}

@INPROCEEDINGS{FriKab94,
  author = {Friedman, J.H. and Kabamba, P.T. and Khargonekar, P.P.},
  title = {{W}orst-case and average {${/cal H}_2$} performance analysis against
	real constant parametric uncertainty},
  booktitle = {Proc. Amer. Contr. Conf.},
  year = {1994},
  address = {Baltimore, Maryland},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Worst-case and average {${/cal H}_2$} performance analysis against
	real constant parametric uncertainty}
}

@ARTICLE{FroSco02,
  author = {Fromion, V. and Scorletti, G.},
  title = {{T}he behavior of incrementally stable discrete time systems},
  journal = {Syst. Control Lett.},
  year = {2002},
  volume = {46},
  number = {4},
  month = {2002///},
  pages = {289-301},
  note = {TY - JOUR Cited By (since 1996): 2 Export Date: 15 October 2007 Source:
	Scopus},
  endnotereftype = {Journal Article},
  file = {http://www.scopus.com/scopus/inward/record.file?eid=2-s2.0-0037162437&partnerID=40&rel=R6.5.0},
  shorttitle = {The behavior of incrementally stable discrete time systems}
}

@INPROCEEDINGS{FroSco04,
  author = {Fromion, V. and Scorletti, G.},
  title = {{N}ecessary conditions for incremental stability and the second order
	variations},
  booktitle = {Proc. 43rd IEEE Conf. Decision and Control},
  year = {2004},
  volume = {3},
  note = {TY - CONF Export Date: 15 October 2007 Source: Scopus},
  month = {2004///},
  pages = {2717-2722},
  endnotereftype = {Conference Proceedings},
  file = {http://www.scopus.com/scopus/inward/record.file?eid=2-s2.0-14244256133&partnerID=40&rel=R6.5.0:PDF},
  shorttitle = {Necessary conditions for incremental stability and the second order
	variations}
}

@INPROCEEDINGS{FroSco99,
  author = {Fromion, V. and Scorletti, G.},
  title = {{B}ehavior of incrementally stable discrete time systems},
  booktitle = {Proc. American Control Conf.},
  year = {1999},
  volume = {6},
  note = {TY - CONF Export Date: 15 October 2007 Source: Scopus},
  month = {1999///},
  pages = {4563-4567},
  endnotereftype = {Conference Proceedings},
  file = {http://www.scopus.com/scopus/inward/record.file?eid=2-s2.0-0033283403&partnerID=40&rel=R6.5.0},
  shorttitle = {Behavior of incrementally stable discrete time systems}
}

@ARTICLE{FroZie08,
  author = {Frotscher, M. T. and Ziegler, E. and Marchais-Oberwinkler, S. and
	Kruchten, P. and Neugebauer, A. and Fetzer, L. and Scherer, C. and
	Mueller-Vieira, U. and Messinger, J. and Thole, H. and Hartmann,
	R. W.},
  title = {{D}esign, synthesis, and biological evaluation of (hydroxyphenyl)naphthalene
	and -quinoline derivatives: {P}otent and selective nonsteroidal inhibitors
	of 17 beta-hydroxysteroid dehydrogenase type 1 (17 beta-{HSD}1) for
	the treatment of estrogen-dependent diseases},
  journal = {Journal of Medicinal Chemistry},
  year = {2008},
  volume = {51},
  number = {7},
  month = {Apr 10},
  pages = {2158-2169},
  note = {284LY Times Cited:41 Cited References Count:54},
  issn = {0022-2623},
  abstract = {Human 17 beta-hydroxysteroid dehydrogenase type 1 (17 beta-HSDI) catalyzes
	the reduction of the weak estrogen estrone (E1) to the highly potent
	estradiol (E2). This reaction takes place in the target cell where
	the estrogenic effect is exerted via the estrogen receptor (ER).
	Estrogens, especially E2, are known to stimulate the proliferation
	of hormone-dependent diseases. 17 beta-HSDI is overexpressed in many
	breast tumors. Thus, it is an attractive target for the treatment
	of these diseases. Ligand- and structure-based drug design led to
	the discovery of novel, selective, and potent inhibitors of 17 beta-HSDI.
	Phenyl-substituted bicyclic moieties were synthesized as mimics of
	the steroidal substrate. Computational methods were used to obtain
	insight into their interactions with the protein. Compound 5 turned
	out to be a highly potent inhibitor of 17 beta-HSDI showing good
	selectivity (17 beta-HSD2, ER alpha and beta), medium cell permeation,
	reasonable metabolic stability (rat hepatic microsomes), and little
	inhibition of hepatic CYP enzymes.},
  endnotereftype = {Journal Article},
  file = {<Go to ISI>://000254709100021},
  keywords = {dehydrogenase type-1 breast-cancer estradiol nadp(+) maintenance expression
	affinity ligands complex acid},
  shorttitle = {Design, synthesis, and biological evaluation of (hydroxyphenyl)naphthalene
	and -quinoline derivatives: Potent and selective nonsteroidal inhibitors
	of 17 beta-hydroxysteroid dehydrogenase type 1 (17 beta-HSD1) for
	the treatment of estrogen-dependent diseases}
}

@ARTICLE{Fu04,
  author = {Fu, M.},
  title = {{P}ole {P}lacement via {S}tatic {O}utput {F}eedback is {NP}-{H}ard},
  journal = {IEEE T. Automat. Contr.},
  year = {2004},
  volume = {49},
  number = {5},
  pages = {855-857},
  endnotereftype = {Journal Article},
  file = {Fu04.pdf::Djvu;Fu04.pdf:Fu04.pdf:PDF;Fu04.pdf:Fu04.pdf:PDF},
  shorttitle = {Pole Placement via Static Output Feedback is NP-Hard}
}

@ARTICLE{Fu97,
  author = {Fu, M.},
  title = {{T}he {R}eal $/mu$ is {H}ardly {A}pproximable},
  journal = {IEEE T. Automat. Contr.},
  year = {1997},
  volume = {42},
  number = {9},
  pages = {1286-1288},
  endnotereftype = {Journal Article},
  file = {LiFu97.pdf:LiFu97.pdf:PDF},
  shorttitle = {The Real $/mu$ is Hardly Approximable}
}

@INCOLLECTION{FuBar95,
  author = {Fu, M. and Barabanov, N.E.},
  title = {{I}mproved {U}pper {B}ounds of the {S}tructured {S}ingular {V}alue},
  booktitle = {Proc. 34th IEEE Conf. Decision and Control},
  year = {1995},
  pages = {3115-3120},
  address = {New Orleans, LO},
  endnotereftype = {Book Section},
  file = {FuBar95.pdf:FuBar95.pdf:PDF},
  shorttitle = {Improved Upper Bounds of the Structured Singular Value}
}

@ARTICLE{FuDas00,
  author = {Fu, M. and Dasgupta, S.},
  title = {{C}omputational {C}omplexity of {R}eal {S}tructured {S}ingular {V}alue
	in $l_p$ {S}etting},
  journal = {IEEE T. Automat. Contr.},
  year = {2000},
  volume = {45},
  number = {11},
  pages = {2173 -2176},
  endnotereftype = {Journal Article},
  shorttitle = {Computational Complexity of Real Structured Singular Value in $l_p$
	Setting}
}

@InProceedings{FuDas02,
  author         = {Fu, M. and Dasgupta, S. and Soh, Y.C.},
  booktitle      = {Proceedings of the 7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002},
  title          = {{I}ntegral {Q}uadratic {C}onstraint {A}pproach vs. {M}ultiplier {A}pproach},
  year           = {2002},
  month          = {2002///},
  note           = {TY - CONF Export Date: 15 October 2007 Source: Scopus},
  pages          = {144-149},
  endnotereftype = {Conference Proceedings},
  file           = {FuDas02.pdf::Djvu;FuDas02.pdf:FuDas02.pdf:PDF;FuDas02.pdf:FuDas02.pdf:PDF},
  groups         = {SchVee18},
  keywords       = {iqc},
  shorttitle     = {Integral Quadratic Constraint Approach vs. Multiplier Approach},
}

@INCOLLECTION{FuDas99,
  author = {Fu, M. and Dasgupta, S.},
  editor = {{El~Ghaoui}, L. and Niculescu, S.I.},
  title = {{P}arametric {L}yapunov {F}unctions for {U}ncertain {S}ystems: {T}he
	{M}ultiplier {A}pproach},
  booktitle = {Advances in Linear Matrix Inequality Methods in Control},
  year = {2000},
  publisher = {SIAM},
  address = {Philadelphia},
  endnotereftype = {Book Section},
  shorttitle = {Parametric {L}yapunov Functions for Uncertain Systems: The Multiplier
	Approach}
}

@InProceedings{Fuj08,
  author       = {Fujioka, H.},
  title        = {{S}tability analysis for a class of networked/embedded control systems: {A} discrete-time approach},
  booktitle    = acc,
  year         = {2008},
  pages        = {4997--5002},
  organization = {IEEE},
  comment      = {- copy in papers folder - gridding mehtod only finitely many sampling
	times -> finite LMIs},
  groups       = {used, Fetzer},
}

@TECHREPORT{Fuk00,
  author = {Fukuda, K.},
  title = {{F}requently asked questions in polyhedral computations},
  year = {2000},
  type = {Good description of recent developments in computations of convex
	hulls and related problems.},
  endnotereftype = {Report},
  file = {x:/Bibfiles/Fuk10.ps http://www.ifor.math.ethz.ch/fukuda/polyfaq/polyfaq.html},
  shorttitle = {Frequently asked questions in polyhedral computations}
}

@ARTICLE{FuwZid06,
  author = {Fuwen, Yang and Zidong, Wang and Hung, Y. S. and Gani, M.},
  title = {{H}<sub>/\&infin;</sub> control for networked systems with random
	communication delays},
  journal = {IEEE T. Automat. Contr.},
  year = {2006},
  volume = {51},
  number = {3},
  pages = {511-518},
  issn = {0018-9286},
  endnotereftype = {Journal Article},
  keywords = {asymptotic stability control system synthesis delays distributed control
	linear matrix inequalities observers optimisation statistical distributions
	H<sup>&infin </sup> control Bernoulli random binary distribution
	auxiliary convex optimization problem controller design problem exponential
	stability limited bandwidth communication channel linear function
	linear matrix inequality networked systems observer-based controller
	random communication delays stochastic variable H<sub>&infin </sub>
	control H<sub>&infin </sub> disturbance attenuation level},
  shorttitle = {H<sub>&infin;</sub> control for networked systems with random communication
	delays}
}

@INPROCEEDINGS{Gah93,
  author = {Gahinet, P.},
  title = {{A}n {LMI}-based parametrization of all {$H_\infty$} controllers
	with applications},
  booktitle = {Proc. 32nd IEEE Conf. Decision and Control},
  year = {1993},
  pages = {656-661},
  address = {San Antonio, TX},
  endnotereftype = {Conference Proceedings},
  shorttitle = {An {LMI}-based parametrization of all {$H_\infty$} controllers with
	applications}
}

@INPROCEEDINGS{Gah94,
  author = {Gahinet, P.},
  title = {{A} new parametrization of {$H_\infty$} suboptimal controllers},
  booktitle = {International Journal of Control},
  year = {1994},
  pages = {1031-1051},
  endnotereftype = {Conference Proceedings},
  shorttitle = {A new parametrization of {$H_\infty$} suboptimal controllers}
}

@Article{GahApk94,
  author         = {Gahinet, P. and Apkarian, P.},
  journal        = {Int. J. Robust Nonlin.},
  title          = {{A} linear matrix inequality approach to {$H_\infty$} {C}ontrol},
  year           = {1994},
  pages          = {421-448},
  volume         = {4},
  endnotereftype = {Journal Article},
  file           = {GahApk94.pdf:GahApk94.pdf:PDF},
  groups         = {distributed, Generic},
  shorttitle     = {A linear matrix inequality approach to {$H_\infty$} Control},
}

@INPROCEEDINGS{GahApk95,
  author = {Gahinet, P. and Apkarian, P. and Chilali, M. and Feron, E.},
  title = {{A}ffine parameter-dependent {L}yapunov functions and real parametric
	uncertainty},
  booktitle = {European Control Conf.},
  year = {1995},
  pages = {2262-2267},
  address = {Rome, Italy},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Affine parameter-dependent {L}yapunov functions and real parametric
	uncertainty}
}

@INPROCEEDINGS{GahChi94,
  author = {Gahinet, P. and Chilali, M.},
  title = {{$H_\infty$} design with pole placement constraints: an {LMI} approach},
  booktitle = {Proc. 33rd IEEE Conf. Decision and Control},
  year = {1994},
  pages = {553-558},
  address = {Orlando, FL},
  endnotereftype = {Conference Proceedings},
  shorttitle = {{$H_\infty$} design with pole placement constraints: an {LMI} approach}
}

@INPROCEEDINGS{GahChi96,
  author = {Gahinet, P. and Chilali, M. and Scherer, C.W.},
  title = {{M}ulti-objective output-feedback {C}ontrol},
  booktitle = {Proc. 13th IFAC World Congres},
  year = {1996},
  pages = {249-254},
  address = {San Francisco, CA},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Multi-objective output-feedback Control}
}

@INPROCEEDINGS{GahIgn94,
  author = {Gahinet, P. and Ignat, A.},
  title = {{L}ow-order {$H_\infty$} synthesis via {LMI's}},
  booktitle = {Proc. Amer. Contr. Conf.},
  year = {1994},
  pages = {1499-1500},
  address = {Baltimore, Maryland},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Low-order {$H_\infty$} synthesis via {LMI's}}
}

@InProceedings{Gah94,
  author         = {Gahinet, P.},
  title          = {{E}xplicit controller formulas for {LMI}-based {$H_\infty$} synthesis},
  booktitle      = {Proc. Amer. Contr. Conf.},
  year           = {1994},
  pages          = {2396-2400},
  address        = {Baltimore, Maryland},
  endnotereftype = {Conference Proceedings},
  shorttitle     = {Explicit controller formulas for {LMI}-based {$H_\infty$} synthesis},
}

@INPROCEEDINGS{GahNem94,
  author = {Gahinet, P. and Nemirovskii, A. and Laub, A.J. and Chilali, M.},
  title = {{The} {LMI} control toolbox},
  booktitle = {Proc. 33rd IEEE Conf. Decision and Control},
  year = {1994},
  pages = {2038-2041},
  address = {Orlando, FL},
  endnotereftype = {Conference Proceedings},
  shorttitle = {{The} {LMI} control toolbox}
}

@BOOK{Gan70,
  author = {Gantmacher, F.},
  title = {{L}ectures in {A}nalytical {M}echanics},
  year = {1970},
  publisher = {MIR publishers},
  address = {Moscow},
  endnotereftype = {Book},
  shorttitle = {Lectures in Analytical Mechanics}
}

@INPROCEEDINGS{GanRos02,
  author = {Ganesan, A. and Ross, S.R. and Barmish, B.R.},
  title = {{A}n {E}xtreme {P}oint {R}esult for {R}adius of {C}onvexity of {L}inear
	{E}quation {S}olutions},
  booktitle = {15th {IFAC} World Congres},
  year = {2002},
  address = {Barcelona},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/GanRos02.pdf:Djvu;GanRos02.pdf:GanRos02.pdf:PDF;GanRos02.pdf:GanRos02.pdf:PDF},
  shorttitle = {An Extreme Point Result for Radius of Convexity of Linear Equation
	Solutions}
}

@ARTICLE{GapGer94,
  author = {Gapski, P.B. and Geromel, J.C.},
  title = {{A} convex approach to the absolute stability problem},
  journal = {IEEE T. Automat. Contr.},
  year = {1994},
  volume = {39},
  number = {9},
  pages = {1929-1932},
  endnotereftype = {Journal Article},
  file = {GapGer94.pdf},
  shorttitle = {A convex approach to the absolute stability problem}
}

@ARTICLE{GapGer98,
  author = {Gapski, P.B. and Geromel, J.C.},
  title = {{LMI} {A}pproach to the {R}eal {P}arametric {R}obust {S}tability
	{P}roblem with {M}ultipliers},
  journal = {International Journal of Robust and Nonlinear Control},
  year = {1998},
  volume = {8},
  pages = {599-610},
  endnotereftype = {Journal Article},
  file = {GapGer98.pdf::Djvu;GapGer98.pdf:GapGer98.pdf:PDF;GapGer98.pdf:GapGer98.pdf:PDF},
  shorttitle = {{LMI} Approach to the Real Parametric Robust Stability Problem with
	Multipliers}
}

@BOOK{Gar81,
  author = {Garnett, J.B.},
  title = {{B}ounded {A}nalytic {F}unctions},
  year = {1981},
  publisher = {Academic Press},
  address = {New York},
  endnotereftype = {Book},
  shorttitle = {Bounded Analytic Functions}
}

@ARTICLE{GarBer96,
  author = {Garcia, G. and Bernussou, J. and Camozzi, P.},
  title = {{D}isc {P}ole {L}ocation for {U}ncertain {S}ystems {T}hrough {C}onvex
	{O}ptimization},
  journal = {Int. J. Robust Nonlin.},
  year = {1996},
  volume = {6},
  pages = {189-199},
  endnotereftype = {Journal Article},
  shorttitle = {Disc Pole Location for Uncertain Systems Through Convex Optimization}
}

@INPROCEEDINGS{GasSza02,
  author = {G?��?��sp?��?��r, P. and Sz?��?��szi, I. and Bokor, J.},
  title = {{D}esign of {R}obust {C}ontrollers for {A}ctive {V}ehicle {S}uspensions},
  booktitle = {15th {IFAC} World Congres},
  year = {2002},
  publisher = {Elsevier},
  address = {Barcelona},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/GasSza02.pdf:Djvu;GasSza02.pdf:GasSza02.pdf:PDF;GasSza02.pdf:GasSza02.pdf:PDF},
  keywords = {robust},
  shorttitle = {Design of Robust Controllers for Active Vehicle Suspensions}
}

@ARTICLE{GatPar04,
  author = {Gaterman, K. and Parillo, P.},
  title = {{S}ymmetry groups, semidefinite programs, and sums of squares},
  journal = {Journal of Pure and Applied Algebra},
  year = {2004},
  volume = {192},
  number = {1-3},
  pages = {95-128},
  endnotereftype = {Journal Article},
  file = {GatPar04.pdf::Djvu;GatPar04.pdf:GatPar04.pdf:PDF;GatPar04.pdf:GatPar04.pdf:PDF},
  keywords = {sos},
  shorttitle = {Symmetry groups, semidefinite programs, and sums of squares}
}

@ARTICLE{GauHam92,
  author = {Gauthier, J.P. and Hammouri, H. and Othman, S.},
  title = {{A} simple observer for nonlinear systems - application to bioreactors},
  journal = {IEEE T. Automat. Contr.},
  year = {1992},
  number = {6},
  pages = {875-880},
  endnotereftype = {Journal Article},
  shorttitle = {A simple observer for nonlinear systems - application to bioreactors}
}

@ARTICLE{Ge10,
  author = {Ge, Guo},
  title = {{L}inear {S}ystems {W}ith {M}edium-{A}ccess {C}onstraint and {M}arkov
	{A}ctuator {A}ssignment},
  journal = {Circuits and Systems I: Regular Papers, IEEE Transactions on},
  year = {2010},
  volume = {57},
  number = {11},
  pages = {2999-3010},
  issn = {1549-8328},
  endnotereftype = {Journal Article},
  keywords = {Lyapunov methods Markov processes actuators asymptotic stability control
	system synthesis convex programming delays distributed control linear
	matrix inequalities linear systems state feedback Lyapunov-like method
	Markov actuator assignment Markov chain Markovian jumping systems
	asymptotic mean-square stability communication network martingale
	probability inequality matrix differential inequalities medium-access
	constraint quasiconvex optimization algorithm scalar decision variables
	scalar linear systems simple matrix inequality stability criterion
	state feedback control time-delay systems uncertain linear systems
	vector system},
  shorttitle = {Linear Systems With Medium-Access Constraint and Markov Actuator Assignment}
}

@ARTICLE{GelWal05,
  author = {de Gelder, E. and van de Wal, M. and Scherer, C.W. and Hol, C.W.J.
	and Bosgra, O.H.},
  title = {{N}ominal and robust feedforward design with time domain constraints
	applied to a wafer stage},
  journal = {Journal of Dynamic Systems, Measurement, and Control},
  year = {2005},
  endnotereftype = {Journal Article},
  shorttitle = {Nominal and robust feedforward design with time domain constraints
	applied to a wafer stage}
}

@ARTICLE{GelWal06,
  author = {de Gelder, E. and de Wal, M. V. and Scherer, C. and Hol, C. and Bosgra,
	O.},
  title = {{N}ominal and robust feedforward design with time domain constraints
	applied to a wafer stage},
  journal = {Journal of Dynamic Systems Measurement and Control-Transactions of
	the Asme},
  year = {2006},
  volume = {128},
  number = {2},
  month = {Jun},
  pages = {204-215},
  note = {058KY Times Cited:6 Cited References Count:23},
  issn = {0022-0434},
  abstract = {A new method is proposed to design a feedforward controller for electromechanical
	servo systems. The settling time is minimized by iteratively solving
	a linear programming problem. A bound on the amplitude of the feedforward
	control signal can be imposed and the McMillan degree of the controller
	can be fixed a priori. We choose Laguerre basis functions for the
	feedforward filter. Since finding the optimal pole location is very
	difficult, we present a computationally cheap method to determine
	the pole location that works well in practice. Furthermore, we show
	how the method can account for plant and/or reference signal uncertainty.
	Uncertainty in servo systems can usually be modeled by additive norm-bounded
	dynamic uncertainty. We will show that, because the feedforward controller
	is designed for a finite-time interval, we can replace the dynamic
	uncertainty set by a parametric one. This allows us to design a robust
	feedforward controller by solving an LMI problem, under the assumption
	that the transfer functions of the plant, end affinely on the uncertainty.
	If the uncertainty set is a finite set, which is usually the case
	for uncertainty in the reference profiles, the, feedforward design
	problem reduces to a linear program. These classes of uncertainty
	sets are well suited to describe variations in the plant and in the
	reference profile of a wafer stage, which is important for the practical
	application of the filter. Experimental results for a wafer stage
	demonstrate the performance improvement compared to a standard inertia
	feedforward filter.},
  endnotereftype = {Journal Article},
  file = {<Go to ISI>://000238665100003:Djvu;GelWal06.pdf:Scherer\\GelWal06.pdf:PDF;GelWal06.pdf:Scherer\\GelWal06.pdf:PDF},
  keywords = {feedforward control robust control servo systems motion control linear
	programming settling time laguerre linear-systems inversion vibration
	inputs},
  shorttitle = {Nominal and robust feedforward design with time domain constraints
	applied to a wafer stage}
}

@INPROCEEDINGS{GenHac00,
  author = {Genin, Y. and Hachez, Y. and Nesterov, Y. E. and Van Dooren, P.},
  title = {{C}onvex optimization over positive polynomials and filter design},
  booktitle = {Proceedings of the 2000 UKACC International Conference on Control},
  year = {2000},
  address = {Cambridge University},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/GenHac00a.ps},
  keywords = {sdp},
  shorttitle = {Convex optimization over positive polynomials and filter design}
}

@ARTICLE{GenHac00b,
  author = {Genin, Y. and Hachez, Y. and Nesterov, Y. E. and Van Dooren, P.},
  title = {{O}ptimization problems over pseudo-polynomial matrices},
  journal = {SIAM Journal on Matrix Analysis and Applications},
  year = {2003},
  volume = {25},
  number = {1},
  pages = {57-79},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/GenHac00b.ps:Djvu;GenHac00b.ps:GenHac00b.ps:PostScript},
  keywords = {convex optimization Toeplitz},
  shorttitle = {Optimization problems over pseudo-polynomial matrices}
}

@ARTICLE{GenHac01,
  author = {Genin, Y. and Hachez, Y. and Nesterov, Y. E. and /c{S}tefan, R. and
	Xu, S. and Van Dooren, P.},
  title = {{P}ositivity and linear matrix inequalities},
  journal = {preprint},
  year = {2001},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/GenHac01.ps:Djvu;GenHac01.ps:GenHac01.ps:PostScript},
  keywords = {sdp overview},
  shorttitle = {Positivity and linear matrix inequalities}
}

@ARTICLE{GenHua00.pdf,
  author = {Geng, Z. and Huang, L.},
  title = {{R}obust stability of the systems with mixed uncertainties under
	the {IQC} descriptions},
  journal = {International Journal of Control},
  year = {2000},
  volume = {73},
  number = {9},
  month = {2000},
  pages = {776-786},
  endnotereftype = {Journal Article},
  file = {GenHua00.pdf},
  shorttitle = {Robust stability of the systems with mixed uncertainties under the
	IQC descriptions}
}

@ARTICLE{Ger99,
  author = {Geromel, J. C.},
  title = {{O}ptimal linear filtering under parametric uncertainty},
  journal = {IEEE Trans. Signal Processing},
  year = {1999},
  volume = {47},
  number = {1},
  pages = {168-175},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/ger99.pdf:;OliGer99.pdf:OliGer99.pdf:PDF},
  keywords = {filtering},
  shorttitle = {Optimal linear filtering under parametric uncertainty}
}

@ARTICLE{GerOli01,
  author = {Geromel, J. C. and Oliveira, M.C. de},
  title = {${H}_2$ and ${H}_\infty$ robust filtering for convex bounded uncertaint
	systems},
  journal = {IEEE T. Automat. Contr.},
  year = {2001},
  volume = {46},
  number = {1},
  pages = {100-107},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/GerOli01.pdf:Djvu;GerOli01.pdf:GerOli01.pdf:PDF;GerOli01.pdf:GerOli01.pdf:PDF},
  keywords = {Estimation filtering robust},
  shorttitle = {${H}_2$ and ${H}_\infty$ robust filtering for convex bounded uncertaint
	systems}
}

@INPROCEEDINGS{GerSou94,
  author = {Geromel, J.C. and de~Souza, C.C. and Skelton, R.E.},
  title = {{LMI} numerical solution for output feedback stabilization},
  booktitle = {Proc. Amer. Contr. Conf.},
  year = {1994},
  pages = {40-44},
  address = {Baltimore, Maryland},
  endnotereftype = {Conference Proceedings},
  shorttitle = {{LMI} numerical solution for output feedback stabilization}
}

@INPROCEEDINGS{GeZha11,
  author = {Ge, Yunwang and Zhang, Guo},
  title = {{R}obust control for fuzzy interconnected systems},
  booktitle = {Fuzzy Systems and Knowledge Discovery (FSKD), 2011 Eighth International
	Conference on},
  year = {2011},
  volume = {1},
  month = {26-28 July 2011},
  pages = {108-112},
  endnotereftype = {Conference Proceedings},
  keywords = {Lyapunov methods control system synthesis convex programming decentralised
	control fuzzy control interconnected systems linear matrix inequalities
	nonlinear control systems robust control Lyapunov stability analysis
	theory T-S fuzzy bilinear model controller design convex optimization
	problem decentralized robust control fuzzy interconnected system
	linear matrix inequality constraint nonlinear interconnected system
	parallel distribute compensation scheme robust stabilization},
  shorttitle = {Robust control for fuzzy interconnected systems}
}

@INPROCEEDINGS{Gha93,
  author = {El~Ghaoui, L.},
  title = {{R}educed-order multimodel control using linear matrix inequalities:
	sufficient conditions},
  booktitle = {Proc. Amer. Contr. Conf.},
  year = {1993},
  pages = {633-634},
  address = {San Francisco, CA},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Reduced-order multimodel control using linear matrix inequalities:
	sufficient conditions}
}

@INPROCEEDINGS{Gha94,
  author = {El~Ghaoui, L.},
  title = {{S}tate-feedback control of rational systems using linear-fractional
	representations and {LMI's}},
  booktitle = {Proc. Amer. Contr. Conf.},
  year = {1994},
  pages = {3563-3567},
  address = {Baltimore, Maryland},
  endnotereftype = {Conference Proceedings},
  shorttitle = {State-feedback control of rational systems using linear-fractional
	representations and {LMI's}}
}

@ARTICLE{GhaFol96,
  author = {El~Ghaoui, L. and Folcher, J.P.},
  title = {{M}ultiobjective robust control of {LTI} systems subject to unstructured
	perturbations},
  journal = {Syst. Control Lett.},
  year = {1996},
  volume = {28},
  pages = {23-30},
  endnotereftype = {Journal Article},
  shorttitle = {Multiobjective robust control of {LTI} systems subject to unstructured
	perturbations}
}

@INPROCEEDINGS{GhaGah93,
  author = {El~Ghaoui, L. and Gahinet, P.},
  title = {{R}ank minimization under {LMI} constraints: a framework for output
	feedback problems},
  booktitle = {European Control Conf.},
  year = {1993},
  pages = {1176-1179},
  address = {Groningen, The Netherlands},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Rank minimization under {LMI} constraints: a framework for output
	feedback problems}
}

@ARTICLE{GhaLeb97,
  author = {El~{G}haoui, L. and Lebret, H.},
  title = {{R}obust {S}olutions to {L}east-{S}quares {P}roblems with {U}ncertain
	{D}ata},
  journal = {SIAM Journal on Matrix Analysis and Applications},
  year = {1997},
  volume = {18},
  number = {4},
  pages = {1035-1064},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/GhaLeb97.pdf:Djvu;GhaLeb97.pdf:GhaLeb97.pdf:PDF;GhaLeb97.pdf:GhaLeb97.pdf:PDF},
  keywords = {robust sdp},
  shorttitle = {Robust Solutions to Least-Squares Problems with Uncertain Data}
}

@ARTICLE{GhaOus97,
  author = {El~Ghaoui, L. and Oustry, F. and AitRami, M.},
  title = {{A} {C}one {C}omplementarity {L}inearization {A}lgorithm for {S}tatic
	{O}utput-{F}eedback and {R}elated {P}roblems},
  journal = {IEEE T. Automat. Contr.},
  year = {1997},
  volume = {42},
  pages = {1171-1176},
  endnotereftype = {Journal Article},
  shorttitle = {A Cone Complementarity Linearization Algorithm for Static Output-Feedback
	and Related Problems}
}

@ARTICLE{GhaOus99,
  author = {El~Ghaoui, L. and Oustry, F. and Lebret, H.},
  title = {{R}obust {S}olutions to {U}ncertain {S}emidefinite {P}rograms},
  journal = {SIAM J. Optim.},
  year = {1998},
  volume = {9},
  number = {1},
  pages = {33-52},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/GhaOus99.ps:Djvu;GhaOus99.ps:GhaOus99.ps:PostScript;GhaOus99.pdf:GhaOus99.pdf:PDF;GhaOus99.pdf:GhaOus99.pdf:PDF},
  keywords = {robust},
  shorttitle = {Robust Solutions to Uncertain Semidefinite Programs}
}

@INPROCEEDINGS{Ghu01,
  author = {Ghulchak, A.M.},
  title = {{D}ual problem in multi-objective ${H}^p$ control},
  booktitle = {European Control Conf.},
  year = {2001},
  pages = {2682-2687},
  address = {Porto, Portugal},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/Ghu01.pdf:Djvu;Ghu01.pdf:Ghu01.pdf:PDF;Ghu01.pdf:Ghu01.pdf:PDF},
  keywords = {duality},
  shorttitle = {Dual problem in multi-objective ${H}^p$ control}
}

@INPROCEEDINGS{GhuRan99,
  author = {Ghulchak, A.M. and Rantzer, A.},
  title = {{R}obust controller design via linear programming},
  booktitle = {Proc. 38th IEEE Conf. Decision and Control},
  year = {1999},
  address = {Phoenix, Arizona},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/Ghu01.pdf},
  keywords = {robust design},
  shorttitle = {Robust controller design via linear programming}
}

@ARTICLE{Gil91,
  author = {Gilbert, E.},
  title = {{L}inear systems with state and control constraints: {T}he theory
	and application of maximal output admissible set},
  journal = {IEEE T. Automat. Contr.},
  year = {1991},
  volume = {36},
  number = {9},
  endnotereftype = {Journal Article},
  shorttitle = {Linear systems with state and control constraints: The theory and
	application of maximal output admissible set}
}

@INPROCEEDINGS{GilKol01,
  author = {Gilbert, E. and Kolmanovsky, I.},
  title = {{A} generalized reference governor for nonlinear systems},
  booktitle = {Proc. 40th IEEE Conf. Decision and Control},
  year = {2001},
  pages = {4222-4227},
  address = {Orlando, FL},
  endnotereftype = {Conference Proceedings},
  file = {GilKol01.pdf::Djvu;GilKol01.pdf:GilKol01.pdf:PDF;GilKol01.pdf:GilKol01.pdf:PDF},
  shorttitle = {A generalized reference governor for nonlinear systems}
}

@ARTICLE{GioPag99,
  author = {Giousto, A. and Paganini, F.},
  title = {{R}obust {S}ynthesis of {F}eedforward {C}ompensators},
  journal = {IEEE T. Automat. Contr.},
  year = {1999},
  volume = {44},
  number = {8},
  pages = {1578-1582},
  endnotereftype = {Journal Article},
  shorttitle = {Robust Synthesis of Feedforward Compensators}
}

@INPROCEEDINGS{GirSou01,
  author = {Girard, A.R. and de Sousa, J.B. and Hedrick, J.K.},
  title = {{A}n overview of emerging results in networked multi-vehicle systems},
  booktitle = {Proc. 40th IEEE Conf. Decision and Control},
  year = {2001},
  pages = {1485-1490},
  address = {Orlando, FL},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/GirSou01.pdf:Djvu;GirSou01.pdf:GirSou01.pdf:PDF;GirSou01.pdf:GirSou01.pdf:PDF},
  keywords = {network},
  shorttitle = {An overview of emerging results in networked multi-vehicle systems}
}

@ARTICLE{GloLim91,
  author = {Glover, K. and Limebeer, D.J.N. and Doyle, J.C. and Kasenally, E.M.
	and Safonov, M.G.},
  title = {{A} characterization of all solutions to the four block general distrance
	problem},
  journal = {SIAM J. Contr. Optim.},
  year = {1991},
  pages = {283-324},
  endnotereftype = {Journal Article},
  shorttitle = {A characterization of all solutions to the four block general distrance
	problem}
}

@ARTICLE{GloMaf89,
  author = {Glover, K. and McFarlane, D.},
  title = {{R}obust stabilization of normalized coprime factor plant descriptions
	with ${H}_\infty$-bounded uncertainty},
  journal = {IEEE T. Automat. Contr.},
  year = {1989},
  volume = {34},
  number = {8},
  pages = {821-830},
  issn = {0018-9286},
  abstract = {The problem of robustly stabilizing a family of linear systems is
	explicitly solved in the case where the family is characterized by
	<e1>H </e1><sub>&infin;</sub> bounded perturbations to the numerator
	and denominator of the normalized left coprime factorization of a
	nominal system. This problem can be reduced to a Nehari extension
	problem directly and gives an optimal stability margin. All controllers
	satisfying a suboptimal stability margin are characterized, and explicit
	state-space formulas are given},
  endnotereftype = {Journal Article},
  file = {GloMaf89.pdf},
  keywords = {robust},
  shorttitle = {Robust stabilization of normalized coprime factor plant descriptions
	with ${H}_\infty$-bounded uncertainty}
}

@ARTICLE{GloSaf00,
  author = {Glover, K. and Safonov, M. G.},
  title = {{G}eorge {Z}ames - 7 {J}anuary 1934-10 {A}ugust 1997},
  journal = {International Journal of Robust and Nonlinear Control},
  year = {2000},
  volume = {10},
  number = {11-12},
  month = {Sep-Oct},
  pages = {849-850},
  note = {356TE Times Cited:0 Cited References Count:0},
  issn = {1049-8923},
  endnotereftype = {Journal Article},
  file = {<Go to ISI>://000089458300001:Djvu},
  shorttitle = {George Zames - 7 January 1934-10 August 1997}
}

@INPROCEEDINGS{GoeTee04,
  author = {Goebel, R. and Teel, A.R. and Hu, T. and Lin, Z.},
  title = {{D}issipativity for dual linear differential inclusions through conjugate
	storage functions},
  booktitle = {Proc. 43rd IEEE Conf. Decision and Control},
  year = {2004},
  volume = {3},
  note = {TY - CONF Cited By (since 1996): 8 Export Date: 15 October 2007 Source:
	Scopus},
  month = {2004///},
  pages = {2700-2705},
  endnotereftype = {Conference Proceedings},
  file = {http://www.scopus.com/scopus/inward/record.file?eid=2-s2.0-14244260544&partnerID=40&rel=R6.5.0},
  shorttitle = {Dissipativity for dual linear differential inclusions through conjugate
	storage functions}
}

@ARTICLE{GoeWil95,
  author = {Goemans, M.X. and Williamson, D.P.},
  title = {{I}mproved {A}pproximation {A}lgorithms for {M}aximum {C}ut and {S}atisfiability
	{P}roblems {U}sing {S}emidefinite {P}rogramming},
  journal = {Journal of ACM},
  year = {1995},
  volume = {42},
  pages = {1115-1145},
  endnotereftype = {Journal Article},
  file = {GoeWil95.pdf:GoeWil95.pdf:PDF;GoeWil95.pdf:GoeWil95.pdf:PDF},
  shorttitle = {Improved Approximation Algorithms for Maximum Cut and Satisfiability
	Problems Using Semidefinite Programming}
}

@INPROCEEDINGS{Goh95,
  author = {Goh, Keat-Choon},
  title = {{S}tructure and factorization of quadratic constraints for robustness
	analysis},
  booktitle = {Proceedings of the IEEE Conference on Decision and Control},
  year = {1995},
  volume = {4},
  note = {TY - CONF Cited By (since 1996): 1 Export Date: 15 October 2007 Source:
	Scopus},
  month = {1996///},
  pages = {4649-4654},
  endnotereftype = {Conference Proceedings},
  file = {X:/Bibfiles/Goh96.pdf},
  shorttitle = {Structure and factorization of quadratic constraints for robustness
	analysis}
}

@InProceedings{Goh96b,
  author         = {Goh, K.-C.},
  title          = {{C}anonical Factorizations for Generalized Positive Real Transfer Functions},
  booktitle      = {Proc. 35th IEEE Conf. Decision and Control},
  year           = {1996},
  pages          = {2848-2853},
  address        = {Kobe, Japan},
  comment        = {1996},
  endnotereftype = {Conference Proceedings},
  file           = {Goh96b.pdf:Goh96b.pdf:PDF;Goh96b.pdf:Goh96b.pdf:PDF},
  keywords       = {positive real},
  shorttitle     = {Canonical Factorizations for Generalized Positive Real Transfer Functions},
}

@BOOK{GohKaa86,
  title = {{C}onstructive {M}ethods of {W}iener-{H}opf {F}actorization},
  year = {1986},
  editor = {Gohberg, I. and Kaashoek, M.A.},
  volume = {21},
  series = {Operator Theory: Advances and Applications},
  publisher = {Birk\"auser},
  address = {Basel, Boston, Stuttgart},
  endnotereftype = {Edited Book},
  keywords = {Wiener-Hopf},
  shorttitle = {Constructive Methods of Wiener-Hopf Factorization}
}

@BOOK{GohKaa95,
  author = {Gohberg, I. and Kaashoek, M.A. and Schagen, F. Van},
  title = {{P}artially {S}pecified {M}atrices and {O}perators: {C}lassification,
	{C}ompletion, {A}pplications},
  year = {1995},
  series = {Operator Theory - Advances and Applications Vol. 79},
  publisher = {Birkh\"auser},
  address = {Boston},
  endnotereftype = {Book},
  shorttitle = {Partially Specified Matrices and Operators: Classification, Completion,
	Applications}
}

@ARTICLE{GohLan86,
  author = {Gohberg, I. and Lancaster, P. and Rodman, L.},
  title = {{O}n {H}ermitian solutions of the symmetric algebraic {Riccati} equation},
  journal = {SIAM J. Contr. Optim.},
  year = {1986},
  pages = {1323-1334},
  endnotereftype = {Journal Article},
  shorttitle = {On {H}ermitian solutions of the symmetric algebraic {Riccati} equation}
}

@BOOK{GohLanRod86,
  author = {Gohberg, I. and Lancaster, P. and Rodman, L.},
  title = {{I}nvariant {S}ubpsaces of {M}atrices with {A}pplications},
  year = {1986},
  publisher = {John Wiley /\& Sons},
  endnotereftype = {Book},
  shorttitle = {Invariant Subpsaces of Matrices with Applications}
}

@ARTICLE{GohSaf95,
  author = {Goh, K. C. and Safonov, M. G. and Papavassilopoulos, G. P.},
  title = {{G}lobal optimization for the biaffine matrix inequality problem},
  journal = {Journal of Global Optimization},
  year = {1995},
  volume = {7},
  number = {4},
  month = {Dec},
  pages = {365-380},
  note = {Tm431 Times Cited:34 Cited References Count:43},
  issn = {0925-5001},
  abstract = {It has recently been shown that an extremely wide array of robust
	controller design problems may be reduced to the problem of finding
	a feasible point under a Biaffine Matrix Inequality (BMI) constraint.
	The BMI feasibility problem is the bilinear version of the Linear
	(Affine) Matrix Inequality (LMI) feasibility problem, and may also
	be viewed as a bilinear extension to the Semidefinite Programming
	(SDP) problem, The BMI problem may be approached as a biconvex global
	optimization problem of minimizing the maximum eigenvalue of a biaffine
	combination of symmetric matrices. This paper presents a branch and
	bound global optimization algorithm for the BMI. A simple numerical
	example is included, The robust control problem, i.e., the synthesis
	of a controller for a dynamic physical system which guarantees stability
	and performance in the face of significant modelling error and worst-case
	disturbance inputs, is frequently encountered in a variety of complex
	engineering applications including the design of aircraft, satellites,
	chemical plants, and other precision positioning and tracking systems.},
  endnotereftype = {Journal Article},
  file = {<Go to ISI>://A1995TM43100003:Djvu;GohSaf95.pdf:GohSaf95.pdf:PDF;GohSaf95.pdf:GohSaf95.pdf:PDF},
  keywords = {branch and bound bilinear matrix inequalities linear matrix inequalities
	robust control},
  shorttitle = {Global optimization for the biaffine matrix inequality problem}
}

@ARTICLE{GohSaf96,
  author = {Goh, K. C. and Safonov, M. G. and Ly, J. H.},
  title = {{R}obust synthesis via bilinear matrix inequalities},
  journal = {International Journal of Robust and Nonlinear Control},
  year = {1996},
  volume = {6},
  number = {9-10},
  month = {Nov-Dec},
  pages = {1079-1095},
  note = {Vy167 Times Cited:50 Cited References Count:65},
  issn = {1049-8923},
  abstract = {The mu/K-m-synthesis formulation for robust controller synthesis with
	frequency dependent scalings/multipliers is shown to be equivalent
	to a bilinear matrix inequality (BMI) feasibility problem. Formulating
	the non-convex mu/K-m-synthesis problem as a BMI problem allows local
	joint controller and multiplier synthesis using finite dimensional
	LMI-like optimization methods and also the application of global
	optimization techniques. The BMI approach improves on the standard
	D,G-K-iteration, M-K-iteration approaches to mu/K-m-synthesis, and
	additionally allows controller order and structure constraints.},
  endnotereftype = {Journal Article},
  file = {<Go to ISI>://A1996VY16700012},
  keywords = {linear & bilinear matrix inequalities (lmi/bmi) robust synthesis multipliers
	integral quadratic constraints h-infinity control stability margin
	gain optimization uncertainty systems},
  shorttitle = {Robust synthesis via bilinear matrix inequalities}
}

@INPROCEEDINGS{GohWu96,
  author = {Goh, K.C. and Wu, F.},
  title = {{D}uality for roubst {$H_2$} performance analysis},
  booktitle = {Proc. 35th IEEE Conf. Decision and Control},
  year = {1996},
  pages = {229-230},
  address = {Kobe, Japan},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Duality for roubst {$H_2$} performance analysis}
}

@ARTICLE{GolSch98,
  author = {Goldfarb, D. and Scheinberg, K.},
  title = {{I}nterior point trajectories in semidefinite programming},
  journal = {SIAM J. Optim.},
  year = {1998},
  volume = {8},
  number = {4},
  pages = {871-886},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/GolSch98.pdf:Djvu;GolSch98.pdf:GolSch98.pdf:PDF;GolSch98.pdf:GolSch98.pdf:PDF},
  keywords = {sdp ip},
  shorttitle = {Interior point trajectories in semidefinite programming}
}

@ARTICLE{GonMeg03,
  author = {Goncalves, J.M. and Megretski, A. and Dahleh, M.A.},
  title = {{G}lobal analysis of piecewise linear systems using impact maps and
	surface {L}yapunov functions},
  journal = {IEEE T. Automat. Contr.},
  year = {2003},
  volume = {48},
  number = {12},
  pages = {2089-2106},
  note = {TY - JOUR},
  issn = {0018-9286},
  abstract = {This paper presents an entirely new constructive global analysis methodology
	for a class of hybrid systems known as piecewise linear systems (PLS).
	This methodology infers global properties of PLS solely by studying
	the behavior at switching surfaces associated with PLS. The main
	idea is to analyze impact maps, i.e., maps from one switching surface
	to the next switching surface. Such maps are known to be "unfriendly"
	maps in the sense that they are highly nonlinear, multivalued, and
	not continuous. We found, however, that an impact map induced by
	an linear time-invariant flow between two switching surfaces can
	be represented as a linear transformation analytically parametrized
	by a scalar function of the state. This representation of impact
	maps allows the search for surface Lyapunov functions (SuLF) to be
	done by simply solving a semidefinite program, allowing global asymptotic
	stability, robustness, and performance of limit cycles and equilibrium
	points of PLS to be efficiently checked. This new analysis methodology
	has been applied to relay feedback, on/off and saturation systems,
	where it has shown to be very successful in globally analyzing a
	large number of examples. In fact, it is still an open problem whether
	there exists an example with a globally stable limit cycle or equilibrium
	point that cannot be successfully analyzed with this new methodology.
	Examples analyzed include systems of relative degree larger than
	one and of high dimension, for which no other analysis methodology
	could be applied. This success in globally analyzing certain classes
	of PLS has shown the power of this new methodology, and suggests
	its potential toward the analysis of larger and more complex PLS.},
  endnotereftype = {Journal Article},
  file = {GonMeg03.pdf::Djvu;GonMeg03.pdf:GonMeg03.pdf:PDF;GonMeg03.pdf:GonMeg03.pdf:PDF},
  keywords = {Lyapunov methods Poincare mapping asymptotic stability control system
	analysis feedback linear systems nonlinear control systems piecewise
	linear techniques time-varying systems Poincare maps global analysis
	global asymptotic stability hybrid systems impact maps linear time-invariant
	flow linear transformation piecewise linear system relay feedback
	state scalar function surface Lyapunov function switching surface},
  shorttitle = {Global analysis of piecewise linear systems using impact maps and
	surface Lyapunov functions}
}

@INPROCEEDINGS{GooSer99,
  author = {G.C. Goodwin and M.M. Seron and M.E. Salgado},
  title = {${H}_2$-design of decentralized controllers},
  booktitle = {Proc. American Control Conf.},
  year = {1999},
  pages = {3826-3830},
  address = {San Diego, CA},
  endnotereftype = {Conference Proceedings},
  file = {GooSer99.pdf:GooSer99.pdf:PDF},
  groups = {distributed},
  shorttitle = {${H}_2$-Design of Decentralized Controllers}
}

@BOOK{GreRos57,
  author = {Grenander, U. and Rostenblatt, M.},
  title = {{STATISTICAL} {ANALYSIS} {OF} {STATIONARY} {TIME} {SERIES}},
  year = {1957},
  publisher = {Wiley},
  address = {New York},
  endnotereftype = {Book},
  keywords = {stochastic},
  shorttitle = {STATISTICAL ANALYSIS OF STATIONARY TIME SERIES}
}

@ARTICLE{GriAnd07,
  author = {Griggs, W.M. and Anderson, B.D.O. and Lanzon, A.},
  title = {{A} "mixed" small gain and passivity theorem in the frequency domain},
  journal = {Syst. Control Lett.},
  year = {2007},
  volume = {56},
  number = {9-10},
  month = {2007///},
  pages = {596-602},
  note = {TY - JOUR Export Date: 15 October 2007 Source: Scopus},
  endnotereftype = {Journal Article},
  file = {GriAnd07.pdf::Djvu;GriAnd07.pdf:GriAnd07.pdf:PDF;GriAnd07.pdf:GriAnd07.pdf:PDF},
  shorttitle = {A "mixed" small gain and passivity theorem in the frequency domain}
}

@BOOK{GriDor98,
  author = {Griebel, M. and Dornseifer, T. and Neunehoeffer, T.},
  title = {{N}umerical {S}imulation in {F}luid {D}ynamics},
  year = {1998},
  publisher = {SIAM},
  address = {Philadelphia},
  endnotereftype = {Book},
  shorttitle = {Numerical Simulation in Fluid Dynamics}
}

@MANUAL{GroGal12,
  author = {Grof, P. and Galambos, P. and Baranyi, P.},
  title = {{C}onvex hull manipulation based control performance optimization:
	{C}ase study of impedance model with feedback delay},
  year = {2012},
  endnotereftype = {Computer Program},
  keywords = {control system synthesis convex programming delays distributed control
	linear matrix inequalities observers tensors vectors LMI based controller
	design control performance optimization convex hull manipulation
	distributed control system feedback delay impedance model nondelayed
	substitute system observer polytopic representation state vector
	tensor product model transformation},
  month = {26-28 Jan. 2012},
  shorttitle = {Convex hull manipulation based control performance optimization: Case
	study of impedance model with feedback delay}
}

@ARTICLE{GroWal,
  author = {Groot Wassink, M. and van de Wal, M. and Scherer, C. and Bosgra,
	O.},
  title = {{LPV} control for a wafer stage: beyond the theoretical solution},
  journal = {Control Eng. Pract.},
  year = {2005},
  volume = {13},
  pages = {231-245},
  note = {TY - JOUR},
  endnotereftype = {Journal Article},
  file = {http://www.sciencedirect.com/science/article/B6V2H-4C6KNNJ-4/2/8d917e34d9bb218fa4f70862d530182d},
  shorttitle = {LPV control for a wafer stage: beyond the theoretical solution}
}

@PHDTHESIS{Gru00,
  author = {Gruber, G.},
  title = {{O}n semidefinite programming and applications in combinatorial optimization},
  year = {2000},
  type = {Ph.D.},
  address = {Graz},
  endnotereftype = {Thesis},
  file = {Gru00.ps::Djvu;Gru00.pdf:Gru00.pdf:PDF;Gru00.ps:Gru00.ps:PostScript},
  school = {University of Technology, Graz},
  shorttitle = {On semidefinite programming and applications in combinatorial optimization}
}

@INPROCEEDINGS{GruRan06,
  author = {Gr\"une, L. and Rantzer, A.},
  editor = {Yamamoto, Yutaka},
  title = {{S}uboptimality estimates for receding horizon controllers},
  booktitle = {MTNS 2006},
  year = {2006},
  address = {Kyoto, Japan},
  endnotereftype = {Conference Proceedings},
  file = {x:/GruRan06.pdf:Djvu;GruRan06.pdf:GruRan06.pdf:PDF;GruRan06.pdf:GruRan06.pdf:PDF},
  keywords = {mpc},
  shorttitle = {Suboptimality estimates for receding horizon controllers}
}

@INCOLLECTION{GruRen03,
  author = {Gruber, G. and Rendl, F.},
  editor = {al., M. J\"unger et},
  title = {{T}he bundle method for hard combinatorial problems},
  booktitle = {Combinatorial Optimization},
  year = {2003},
  volume = {2570},
  series = {Lecture notes in Computer Science},
  publisher = {Springer-Verlag},
  pages = {78-88},
  address = {Berlin-Heidelberg},
  endnotereftype = {Book Section},
  file = {x:/Bibfiles/GruRen03.pdf:Djvu;GruRen03.pdf:GruRen03.pdf:PDF;GruRen03.pdf:GruRen03.pdf:PDF},
  keywords = {optimization},
  shorttitle = {The bundle method for hard combinatorial problems}
}

@ARTICLE{Gu93,
  author = {Gu, D.W. and Choi, B.W. and Postlethwaite, I.},
  title = {{L}ow-{O}rder {S}tabilizing {C}ontrollers},
  journal = {IEEE T. Automat. Contr.},
  year = {1993},
  volume = {38},
  pages = {1713-1717},
  endnotereftype = {Journal Article},
  shorttitle = {Low-Order Stabilizing Controllers}
}

@ARTICLE{Guc95,
  author = {Guckenheimer, J.},
  title = {{A} robust hybrid stabilization strategy for equilibria},
  journal = {IEEE T. Automat. Contr.},
  year = {1995},
  volume = {40},
  number = {2},
  pages = {321-326},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/Guc95.pdf:Djvu;Guc95.pdf:Guc95.pdf:PDF;Guc95.pdf:Guc95.pdf:PDF},
  shorttitle = {A robust hybrid stabilization strategy for equilibria}
}

@INPROCEEDINGS{GuChu94,
  author = {Gu, G. and Chu, C.C. and Kim, G.},
  title = {{L}inear algorithms for worst case identification in {${/cal H}^\infty$}
	with applications to flexible structures},
  booktitle = {Proc. Amer. Contr. Conf.},
  year = {1994},
  pages = {112-116},
  address = {Baltimore, Maryland},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Linear algorithms for worst case identification in {${/cal H}^\infty$}
	with applications to flexible structures}
}

@BOOK{Guddat90,
  author = {Guddat, J. and Vasquez, F.G and Jongen, H.Th.},
  title = {{P}arametric {O}ptimization: {S}ingularities, {P}athfollowing and
	{J}umps},
  year = {1990},
  publisher = {John Wiley and Sons},
  endnotereftype = {Book},
  shorttitle = {Parametric Optimization: Singularities, Pathfollowing and Jumps}
}

@INPROCEEDINGS{GueAdb04,
  author = {Guesmi, T. and Adballah, H. H. and Toumi, A.},
  title = {{T}ransient stability fuzzy control approach for power systems},
  booktitle = {Industrial Technology, 2004. IEEE ICIT '04. 2004 IEEE International
	Conference on},
  year = {2004},
  volume = {3},
  month = {8-10 Dec. 2004},
  pages = {1676-1681 Vol. 3},
  endnotereftype = {Conference Proceedings},
  keywords = {control system synthesis convex programming fuzzy control linear matrix
	inequalities power system control power system transient stability
	LMI Takagi-Sugeno fuzzy model convex programming techniques critical
	clearing time fuzzy control approach fuzzy controller design fuzzy
	logic controllers linear matrix inequality nonlinear model parallel
	distributed compensation power system angle stability single machine
	infinite bus system transient stability},
  shorttitle = {Transient stability fuzzy control approach for power systems}
}

@INPROCEEDINGS{GuHan00,
  author = {Gu, K. and Han, Q.-L.},
  title = {{D}iscretized {L}yapunov functional for linear uncertain systems
	with time-varying delay},
  booktitle = {Proc. Amer. Contr. Conf.},
  year = {2000},
  pages = {1375-1379},
  address = {Chicago, Illinois},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/GuHan00.pdf:Djvu;GuHan00.pdf:GuHan00.pdf:PDF;GuHan00.pdf:GuHan00.pdf:PDF},
  keywords = {delay},
  shorttitle = {Discretized Lyapunov functional for linear uncertain systems with
	time-varying delay}
}

@ARTICLE{GuHan01,
  author = {Gu, K. and Han, Q.-L. and Luo, A.C.J. and Niculescu, S.I.},
  title = {{D}iscretized {L}yapunov functional for systems with distributed
	delay and piecewise constant coefficients},
  journal = {Int. J. of Control},
  year = {2001},
  volume = {74},
  number = {7},
  pages = {737-744},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/GuHan01.pdf:Djvu;GuHan01.pdf:GuHan01.pdf:PDF;GuHan01.pdf:GuHan01.pdf:PDF},
  keywords = {delay},
  shorttitle = {Discretized {L}yapunov functional for systems with distributed delay
	and piecewise constant coefficients}
}

@ARTICLE{Gup96,
  author = {Gupta, S.},
  title = {{R}obust {S}tability {A}nalysis {U}sing {LMI}: {B}eyond {S}mall {G}ain
	and {P}assivity},
  journal = {Int. J. Robust Nonlin.},
  year = {1996},
  volume = {6},
  pages = {953-968},
  endnotereftype = {Journal Article},
  shorttitle = {Robust Stability Analysis Using {LMI}: Beyond Small Gain and Passivity}
}

@ARTICLE{Gus95,
  author = {Gusev, S.V.},
  title = {{M}inimax {C}ontrol under a {B}ound on the {P}artial {C}ovariance
	{S}equence of the {D}isturbance},
  journal = {Automatica},
  year = {1995},
  volume = {31},
  pages = {1287-1301},
  endnotereftype = {Journal Article},
  shorttitle = {Minimax Control under a Bound on the Partial Covariance Sequence of
	the Disturbance}
}

@INPROCEEDINGS{Gus95b,
  author = {Gusev, S.V.},
  title = {{M}inimax {C}ontrol under a {R}estriction on the {M}oments of {D}isturbance},
  booktitle = {Proc. 34th IEEE Conf. Decision and Control},
  year = {1995},
  pages = {1195-1200},
  address = {New Orleans, LO},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Minimax Control under a Restriction on the Moments of Disturbance}
}

@INPROCEEDINGS{Gus96,
  author = {Gusev, S.V.},
  title = {{M}ethod of {M}oment {R}estrictions in {R}obust {C}ontrol and {F}iltering},
  booktitle = {Proc. 13th IFAC World Congres},
  year = {1996},
  pages = {415-420},
  address = {San Francisco, CA},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Method of Moment Restrictions in Robust Control and Filtering}
}

@ARTICLE{GusLik06,
  author = {Gusev, S. V. and Likhtarnikov, A.L.},
  title = {{K}alman-{P}opov-{Y}akubovich lemma and the {S}-procedure: {A} historical
	essay},
  journal = {Automation and Remote Control},
  year = {2006},
  volume = {67},
  number = {11},
  pages = {1768 - 1810},
  endnotereftype = {Journal Article},
  file = {GusLik06.pdf},
  shorttitle = {{K}alman-{P}opov-{Y}akubovich lemma and the {S}-procedure: A historical
	essay}
}

@ARTICLE{Haa79,
  author = {Haas, V.B.},
  title = {{P}ositive definiteness of a quadratic functional},
  journal = {IEEE T. Automat. Contr.},
  year = {1979},
  volume = {24},
  number = {6},
  pages = {970-974},
  endnotereftype = {Journal Article},
  file = {Haa79.pdf::Djvu;Haa79.pdf:Haa79.pdf:PDF;Haa79.pdf:Haa79.pdf:PDF},
  keywords = {Riccati},
  shorttitle = {Positive definiteness of a quadratic functional}
}

@INPROCEEDINGS{HadChe00,
  author = {Haddad, Wassim M. and Chellaboina, VijaySekhar and Oh, JinHyoung},
  title = {{L}inear controller analysis for systems with input hystereses nonlinearities},
  booktitle = {Proc. American Control Conf.},
  year = {2000},
  volume = {6},
  note = {TY - CONF Export Date: 15 October 2007 Source: Scopus},
  month = {2000///},
  pages = {4159-4163},
  endnotereftype = {Conference Proceedings},
  file = {http://www.scopus.com/scopus/inward/record.file?eid=2-s2.0-0034542120&partnerID=40&rel=R6.5.0},
  shorttitle = {Linear controller analysis for systems with input hystereses nonlinearities}
}

@ARTICLE{HadChe01,
  author = {Haddad, W.M. and Chellaboina, V.},
  title = {{D}issipativity {T}heory and {S}tability of {F}eedback {I}nterconnections
	for {H}ybrid {D}ynamical {S}ystems},
  journal = {Mathematical Problems in Engineering},
  year = {2001},
  volume = {7},
  number = {4},
  month = {2001///},
  pages = {299-335},
  note = {TY - JOUR Cited By (since 1996): 11 Export Date: 15 October 2007
	Source: Scopus},
  endnotereftype = {Journal Article},
  file = {http://www.scopus.com/scopus/inward/record.file?eid=2-s2.0-0010734076&partnerID=40&rel=R6.5.0},
  shorttitle = {Dissipativity Theory and Stability of Feedback Interconnections for
	Hybrid Dynamical Systems}
}

@ARTICLE{HadChe03,
  author = {Haddad, W.M. and Chellaboina, V. and Oh, J.},
  title = {{L}inear controller analysis and design for systems with input hystereses
	nonlinearities},
  journal = {Journal of the Franklin Institute},
  year = {2003},
  volume = {340},
  number = {5},
  month = {2003///},
  pages = {371-390},
  note = {TY - JOUR Cited By (since 1996): 4 Export Date: 15 October 2007 Source:
	Scopus},
  endnotereftype = {Journal Article},
  file = {http://www.scopus.com/scopus/inward/record.file?eid=2-s2.0-0242302728&partnerID=40&rel=R6.5.0},
  shorttitle = {Linear controller analysis and design for systems with input hystereses
	nonlinearities}
}

@Book{HadChe08,
  title          = {{N}onlinear Dynamical Systems and Control: {A} {L}yapunov-Based Approach},
  publisher      = {Princeton University Press},
  year           = {2008},
  author         = {Wassim M. Haddad and Vijay Sekhar Chellaboina},
  series         = {International Series in Operations Research and Management Science},
  address        = {Dordrecht, The Netherlands},
  endnotereftype = {Edited Book},
  shorttitle     = {Handbook on semidefinite programming: theory, algorithms, applications},
}

@BOOK{HadPar01,
  author = {Haisavvas, N. and Pardalos, P.M.},
  title = {{A}dvances in convex analysis and global optimization},
  year = {2001},
  editor = {Pardalos, P.M.},
  volume = {54},
  series = {Nonconvex optimization and its applications},
  publisher = {Kluwer},
  address = {Dordrecht},
  endnotereftype = {Book},
  shorttitle = {Advances in convex analysis and global optimization}
}

@ARTICLE{HagMez04,
  author = {Hagen, G. and Mezic, I. and Bamieh, B.},
  title = {{D}istributed control design for parabolic evolution equations: application
	to compressor stall control},
  journal = {IEEE T. Automat. Contr.},
  year = {2004},
  volume = {49},
  number = {8},
  pages = {1247-1258},
  issn = {0018-9286},
  endnotereftype = {Journal Article},
  keywords = {Fourier transforms compressors control system synthesis distributed
	control linear quadratic control multidimensional systems nonlinear
	control systems parabolic equations reaction-diffusion systems Fourier
	mode air injection compressor stall control controller decentralization
	distributed control design finite dimensional implementation inverse
	optimality nonlinear control system nonlinear reaction-diffusion
	systems parabolic evolution equation},
  shorttitle = {Distributed control design for parabolic evolution equations: application
	to compressor stall control}
}

@INPROCEEDINGS{HagMez99,
  author = {Hagen, G. and Mezic, I. and Bamieh, B. and Zhang, K.},
  title = {{M}odelling and control of axial compressors via air injection},
  booktitle = {Proc. American Control Conf.},
  year = {1999},
  volume = {4},
  month = {1999},
  pages = {2703-2707 vol.4},
  endnotereftype = {Conference Proceedings},
  keywords = {Lyapunov methods Riccati equations compressors distributed parameter
	systems flow control gas turbines linear quadratic control nonlinear
	control systems pneumatic control equipment stability velocity control
	Lyapunov theory air injection axial compressors feedback jet engines
	nonlinear dynamics optimal control},
  shorttitle = {Modelling and control of axial compressors via air injection}
}

@INPROCEEDINGS{HalHas96,
  author = {Halder, B. and Hassibi, B. and Kailath, T.},
  title = {{M}ixed {$H^2/H^\infty$} estimation: primary analytic characterization
	and a numerical solution},
  booktitle = {Proc. 13th IFAC World Congres},
  year = {1996},
  volume = {J},
  pages = {37-42},
  address = {San Francisco, CA},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Mixed {$H^2/H^\infty$} estimation: primary analytic characterization
	and a numerical solution}
}

@INCOLLECTION{Halikias1995,
  author = {Halikias, G.D. and Jaimoukha, I.M.},
  title = {{H}ierarchical {O}ptimisation in {${/cal H}_\infty$}},
  booktitle = {Proc. 35th IEEE Conf. Decision and Control},
  year = {1995},
  pages = {3664-3669},
  address = {Kobe, Japan},
  endnotereftype = {Book Section},
  shorttitle = {Hierarchical Optimisation in {${/cal H}_\infty$}}
}

@ARTICLE{Halikias95,
  author = {Halikias, G.D. and Jaimoukha, I.M.},
  title = {{H}ierarchical {O}ptimisation in {${/cal H}_\infty$}},
  year = {1995},
  pages = {3664-3669},
  endnotereftype = {Journal Article},
  shorttitle = {Hierarchical Optimisation in {${/cal H}_\infty$}}
}

@ARTICLE{HalKle02,
  author = {Halick/'a, M. and De Klerk, E. and Roos, C.},
  title = {{O}n the convergence of the central path in semidefinite programming},
  journal = {SIAM J. Optim.},
  year = {2002},
  volume = {12},
  number = {4},
  pages = {1090-1099},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/HalKle02.pdf:Djvu;HalKle02.pdf:HalKle02.pdf:PDF;HalKle02.pdf:HalKle02.pdf:PDF},
  keywords = {sdp ip},
  shorttitle = {On the convergence of the central path in semidefinite programming}
}

@BOOK{HalLun93,
  author = {Hale, J.K. and Lunel, S.M.V.},
  title = {{I}ntroduction to {F}unctional {D}ifferential {E}quations},
  year = {1993},
  publisher = {Springer-Verlag},
  address = {New York},
  endnotereftype = {Book},
  shorttitle = {Introduction to Functional Differential Equations}
}

@ARTICLE{Han89,
  author = {Hannaford, B.},
  title = {{A} design framework for teleoperators with kinesthetic feedback},
  journal = {IEEE transactions on Robotics and Automation},
  year = {1989},
  volume = {5},
  number = {4},
  pages = {426-434},
  endnotereftype = {Journal Article},
  file = {Han89.pdf::Djvu;Han89.pdf:Han89.pdf:PDF;Han89.pdf:Han89.pdf:PDF},
  keywords = {teleoperation},
  shorttitle = {A design framework for teleoperators with kinesthetic feedback}
}

@INPROCEEDINGS{HanVan00,
  author = {Hansson, A. and Vandenberghe, L.},
  title = {{E}fficient solution of linear matrix inequalities for integral quadratic
	constraints},
  booktitle = {Decision and Control, 2000. Proceedings of the 39th IEEE Conference
	on},
  year = {2000},
  volume = {5},
  note = {TY - CONF},
  pages = {5033-5034 vol.5},
  endnotereftype = {Conference Proceedings},
  file = {HanVan00.pdf::Djvu;HanVan00.pdf:HanVan00.pdf:PDF;HanVan00.pdf:HanVan00.pdf:PDF},
  keywords = {iterative methods mathematical programming mathematics computing matrix
	algebra minimisation Matlab integral quadratic constraints interior-point
	algorithm least-squares system linear matrix inequalities primal-dual
	potential reduction method semi-definite programs},
  shorttitle = {Efficient solution of linear matrix inequalities for integral quadratic
	constraints}
}

@ARTICLE{Har97,
  author = {Hara, S.},
  title = {{P}arametrization of {S}tabilizing {C}ontrollers for {M}ultivariable
	{S}ervo {S}ystems with {T}wo {D}egree of {F}reedom},
  journal = {International Journal of Control},
  year = {1997},
  volume = {45},
  pages = {779-790},
  endnotereftype = {Journal Article},
  shorttitle = {Parametrization of Stabilizing Controllers for Multivariable Servo
	Systems with Two Degree of Freedom}
}

@INPROCEEDINGS{HarFuj94,
  author = {Hara, S. and Fujioka, H. and Kosugiyama, T.},
  title = {{S}ynthesis of robust servo compensators},
  booktitle = {Proc. Amer. Contr. Conf.},
  year = {1994},
  pages = {3166-3170},
  address = {Baltimore, Maryland},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Synthesis of robust servo compensators}
}

@ARTICLE{HauSil83,
  author = {Hautus, M.L.J. and Silvermann, L.M.},
  title = {{S}ystem structure and singular control},
  journal = {Linear Alg. Appl.},
  year = {1983},
  pages = {369-402},
  endnotereftype = {Journal Article},
  shorttitle = {System structure and singular control}
}

@INPROCEEDINGS{HayBat01,
  author = {Hayes, J.B. and Bates, D.G. and Holohan, A.M.},
  title = {{N}ew algorithms for upper and lower bounds on the mixed/real structured
	singular value},
  booktitle = {European Control Conf.},
  year = {2001},
  pages = {1295-1302},
  address = {Porto, Portugal},
  endnotereftype = {Conference Proceedings},
  file = {HayBat01.pdf:HayBat01.pdf:PDF;HayBat01.pdf:HayBat01.pdf:PDF},
  shorttitle = {New algorithms for upper and lower bounds on the mixed/real structured
	singular value}
}

@ARTICLE{HecVar,
  author = {Hecker, S. and Varga, A. and Magni, J. F.},
  title = {{E}nhanced {LFR}-{T}oolbox for {M}atlab and {LFT}-based gain-scheduling},
  endnotereftype = {Journal Article},
  file = {:HecVarMag.pdf:;HecVarMag.pdf:HecVarMag.pdf:PDF},
  shorttitle = {ENHANCED LFR-TOOLBOX FOR MATLAB AND LFT-BASED GAIN SCHEDULING}
}

@ARTICLE{Hel01,
  author = {Helton, J.W.},
  title = {{S}ome adaptive control problems which convert to a "classical" problem
	in several complex variables},
  journal = {IEEE T. Automat. Contr.},
  year = {2001},
  volume = {46},
  number = {12},
  pages = {2038-2043},
  note = {TY - JOUR},
  issn = {0018-9286},
  abstract = {We discuss the equivalence of bi-H<sup>&infin;</sup> control problems
	to certain problems of approximation and interpolation by analytic
	functions in several complex variables. In bi-H<sup>&infin; </sup>
	control, the goal is to perform H<sup>&infin;</sup> control design
	for a plant where part of it is known and a stable subsystem &delta;
	is not known, i.e. the response at "frequency" s is P(s, &delta;(s)).
	We assume that once our system is running, we can identify &delta;
	online. Thus the problem is to design a function K off-line that
	uses this information to produce a H<sup>&infin;</sup> controller
	via the formula K(s, &delta;(s)). The controller should yield a closed
	loop system with H<sup>&infin;</sup> gain at most &gamma; no matter
	which &delta; occurs. This is a frequency domain problem. The article
	shows how several bi-H<sup>&infin;</sup> control problems convert
	to two complex variable interpolation problems. These precisely generalize
	the classical (one complex variable) interpolation (AAK-commutant
	lifting) problems which lay at the core of H<sup>&infin;</sup> control.
	These problems are hard, but the last decade has seen substantial
	success on them in the operator theory community. In the most ideal
	of bi-H<sup>&infin;</sup> cases these lead to a necessary and sufficient
	treatment of the control problem},
  endnotereftype = {Journal Article},
  file = {Hel01.pdf::Djvu;Hel01.pdf:Hel01.pdf:PDF;Hel01.pdf:Hel01.pdf:PDF},
  keywords = {H<sup>&infin </sup> control adaptive control approximation theory
	closed loop systems control system synthesis frequency-domain synthesis
	interpolation AAK-commutant lifting problems H<sup>&infin </sup>
	control design adaptive control problems analytic functions approximation
	bi-H<sup>&infin </sup> control problems closed-loop system complex
	variable interpolation problems complex variables frequency domain
	problem interpolation one-complex-variable interpolation online subsystem
	identification operator theory unknown stable subsystem},
  shorttitle = {Some adaptive control problems which convert to a "classical" problem
	in several complex variables}
}

@ARTICLE{Hel02,
  author = {Helton, J. W.},
  title = {{P}ositive noncommutative polynomials are sums of squares},
  journal = {Annals of Mathematics},
  year = {2002},
  volume = {156},
  pages = {675-694},
  endnotereftype = {Journal Article},
  file = {Hel02.pdf::Djvu;Hel02.pdf:Hel02.pdf:PDF;Hel02.pdf:Hel02.pdf:PDF},
  keywords = {sos},
  shorttitle = {Positive noncommutative polynomials are sums of squares}
}

@PHDTHESIS{Hel95,
  author = {Helmersson, A.},
  title = {{M}ethods for {R}obust {G}ain-{S}cheduling},
  year = {1995},
  address = {Sweden},
  endnotereftype = {Thesis},
  keywords = {lpv},
  school = {Link\"oping University},
  shorttitle = {Methods for Robust Gain-Scheduling}
}

@INPROCEEDINGS{Hel95b,
  author = {Helmersson, A.},
  title = {{A} finite frequency method for $/mu$-analysis},
  booktitle = {European Control Conf.},
  year = {1995},
  volume = {1},
  pages = {171-176},
  address = {Rome, Italy},
  endnotereftype = {Conference Proceedings},
  keywords = {robust},
  shorttitle = {A finite frequency method for $/mu$-analysis}
}

@MISC{Hel99,
  author = {Helmersson, A.},
  title = {{A}n {IQC}-based {S}tability {C}riterion for {S}ystems with {S}lowly
	{V}arying {P}arameters},
  year = {1999},
  endnotereftype = {Generic},
  shorttitle = {An {IQC}-based Stability Criterion for Systems with Slowly Varying
	Parameters}
}

@Misc{Hel99a,
  author         = {Helmersson, A.},
  title          = {{A}n {IQC}-based {S}tability {C}riterion for {S}ystems with {S}lowly {V}arying {P}arameters},
  year           = {1999},
  endnotereftype = {Generic},
  groups         = {Fetzer},
  shorttitle     = {An {IQC}-based Stability Criterion for Systems with Slowly Varying Parameters},
}

@ARTICLE{HelMcc04,
  author = {Helton, J.W. and McCullough, S.A. and Putinar, M.},
  title = {{A} non-commutative {P}ositivstellensatz on isometries},
  journal = {Journal f\"ur die reine und angewandte Mathematik},
  year = {2004},
  volume = {568},
  pages = {71-80},
  endnotereftype = {Journal Article},
  file = {HelMcc04.pdf::Djvu;HelMcc04.pdf:HelMcc04.pdf:PDF;HelMcc04.pdf:HelMcc04.pdf:PDF},
  keywords = {positivestellensatz},
  shorttitle = {A non-commutative {P}ositivstellensatz on isometries}
}

@ARTICLE{HelMcc04b,
  author = {Helton, J.W. and McCullough, S.A.},
  title = {{A} {P}ositivstellensatz for non-commutative polynomials},
  journal = {Trans. Amer. Math. Soc.},
  year = {2004},
  volume = {356},
  pages = {3721-3737},
  endnotereftype = {Journal Article},
  file = {HelMcc04b.pdf::Djvu;HelMcc04b.pdf:HelMcc04b.pdf:PDF;HelMcc04b.pdf:HelMcc04b.pdf:PDF},
  keywords = {positivestellensatz},
  shorttitle = {A {P}ositivstellensatz for non-commutative polynomials}
}

@ARTICLE{HelMcc04c,
  author = {Helton, J.W. and McCullough, S.A.},
  title = {{CONVEX} {NONCOMMUTATIVE} {POLYNOMIALS} {HAVE} {DEGREE} {TWO} {OR}
	{LESS}},
  journal = {SIAM J. MATRIX ANAL. APPL.},
  year = {2004},
  volume = {25},
  number = {4},
  pages = {1124-1139},
  endnotereftype = {Journal Article},
  file = {HelMcc04c.pdf::Djvu;HelMcc04c.pdf:HelMcc04c.pdf:PDF;HelMcc04c.pdf:HelMcc04c.pdf:PDF},
  keywords = {positivestellensatz},
  shorttitle = {CONVEX NONCOMMUTATIVE POLYNOMIALS HAVE DEGREE TWO OR LESS}
}

@INPROCEEDINGS{Helmersson1999,
  author = {Helmersson, A.},
  title = {{A}n {IQC}-based stability criterion for systems with slowly varying
	parameters},
  booktitle = {Proc. 14th IFAC World Congres},
  year = {1999},
  pages = {525-530},
  address = {Bejing, China},
  endnotereftype = {Conference Proceedings},
  shorttitle = {An {IQC}-based stability criterion for systems with slowly varying
	parameters}
}

@INPROCEEDINGS{Helmersson1999a,
  author = {Helmersson, A.},
  title = {{IQC} synthesis based on inertia constraints},
  booktitle = {Proc. 14th IFAC World Congres},
  year = {1999},
  pages = {163-168},
  address = {Bejing, China},
  endnotereftype = {Conference Proceedings},
  shorttitle = {{IQC} synthesis based on inertia constraints}
}

@BOOK{HenGar05,
  title = {{P}ositive polynomials in control},
  year = {2005},
  editor = {Henrion, D. and Garulli, A.},
  volume = {312},
  series = {Lecture Notes in Control and Information Sciences},
  publisher = {Springer-Verlag},
  address = {Berlin, Heidelberg, New York},
  endnotereftype = {Edited Book},
  shorttitle = {Positive polynomials in control}
}

@ARTICLE{HenLas04,
  author = {Henrion, D. and Lasserre, J. B.},
  title = {{S}olving nonconvex optimization problems},
  journal = {IEEE Contr. Syst. Mag.},
  year = {2004},
  volume = {24},
  number = {3},
  pages = {72-83},
  endnotereftype = {Journal Article},
  file = {x:/bibfilex/HenLas04.pdf:Djvu;HenLas04.pdf:HenLas04.pdf:PDF;HenLas04.pdf:HenLas04.pdf:PDF},
  shorttitle = {Solving nonconvex optimization problems}
}

@INCOLLECTION{HenLas05,
  author = {Henrion, D. and Lasserre, J. B.},
  editor = {Henrion, D. and Garulli, A.},
  title = {{D}etecting global optimality and extracting solutions in {G}lopti{P}oly},
  booktitle = {Lecture Notes in Control and Information Sciences},
  year = {2005},
  publisher = {Springer-Verlag},
  pages = {293-310},
  address = {Berlin, Heidelberg, New York},
  endnotereftype = {Book Section},
  file = {HenLas05.pdf::Djvu;HenLas05.pdf:HenLas05.pdf:PDF;HenLas05.pdf:HenLas05.pdf:PDF},
  keywords = {relaxation sos},
  shorttitle = {Detecting global optimality and extracting solutions in GloptiPoly}
}

@ARTICLE{HenMei01,
  author = {Henrion, D. and Meinsma, G.},
  title = {{R}ank-one {LMI}s and {L}yapunov's inequality},
  journal = {IEEE T. Automat. Contr.},
  year = {2001},
  volume = {46},
  number = {8},
  pages = {1285 -1288},
  endnotereftype = {Journal Article},
  file = {HenMei01.pdf:HenMei01.pdf:PDF;HenMei01.pdf:HenMei01.pdf:PDF},
  keywords = {robust},
  shorttitle = {Rank-one {LMI}s and {L}yapunov's inequality}
}

@ARTICLE{HenSeb03,
  author = {Henrion, D. and Sebek, M. and Kucera, V.},
  title = {{P}ositive {P}olynomials and {R}obust {S}tabilization with {F}ixed-{O}rder
	{C}ontrollers},
  journal = {IEEE T. Automat. Contr.},
  year = {2003},
  volume = {48},
  pages = {1178-1186},
  endnotereftype = {Journal Article},
  file = {HenSeb03.pdf:HenSeb03.pdf:PDF;HenSeb03.pdf:HenSeb03.pdf:PDF},
  shorttitle = {Positive Polynomials and Robust Stabilization with Fixed-Order Controllers}
}

@ARTICLE{HerSte04,
  author = {Heertjes, M. and Steinbuch, M.},
  title = {{S}tability and performance of a variable gain controller with application
	to a {DVD} storage drive},
  journal = {Automatica},
  year = {2004},
  volume = {40},
  number = {4},
  month = {2004/4},
  pages = {591-602},
  endnotereftype = {Journal Article},
  file = {HerSte04.pdf::Djvu;HerSte04.pdf:HerSte04.pdf:PDF;HerSte04.pdf:HerSte04.pdf:PDF},
  shorttitle = {Stability and performance of a variable gain controller with application
	to a {DVD} storage drive}
}

@INPROCEEDINGS{HesSch01,
  author = {Van Hessem, D. and Scherer, C.W. and Bosgra, O.H.},
  title = {{LMI}-based closed-loop economic optimization of stochastic process
	operation under state and input constraints},
  booktitle = {Proc. 40th IEEE Conf. Decision and Control},
  year = {2001},
  pages = {6 pages},
  address = {Orlando, FL},
  endnotereftype = {Conference Proceedings},
  shorttitle = {{LMI}-based closed-loop economic optimization of stochastic process
	operation under state and input constraints}
}

@BOOK{Hig96,
  author = {Higgins, J.R.},
  title = {{S}ampling theory in {F}ourier and signal analysis},
  year = {1996},
  publisher = {Clarendon Press},
  address = {Oxford},
  endnotereftype = {Book},
  shorttitle = {Sampling theory in {F}ourier and signal analysis}
}

@Article{HilMoy76,
  author         = {Hill, D. and Moylan, P.},
  journal        = {IEEE T. Automat. Contr.},
  title          = {{T}he stability of nonlinear dissipative systems},
  year           = {1976},
  number         = {5},
  pages          = {708-711},
  volume         = {21},
  comment        = {Combinations of supply rates explicitly mentinoned.
Condition on supply rate with feedback function: w(u(y),y)<0 for all y\neq 0.},
  endnotereftype = {Journal Article},
  file           = {:HilMoy76.pdf:PDF},
  groups         = {CSM20},
  shorttitle     = {The stability of nonlinear dissipative systems},
}

@INPROCEEDINGS{HinBoy98,
  author = {Hindi, H.A. and Boyd, S.},
  title = {{A}nalysis of linear systems with saturation using convex optimization},
  booktitle = {Proc. 37th IEEE Conf. Decision and Control},
  year = {1998},
  pages = {903-908},
  address = {Tampa, FL},
  endnotereftype = {Conference Proceedings},
  keywords = {constraints},
  shorttitle = {Analysis of linear systems with saturation using convex optimization}
}

@INPROCEEDINGS{HinHas98,
  author = {Hindi, H.A. and Hassibi, B. and Boyd, S.P.},
  title = {{Multiobjective} {${/cal H}_2/{/cal H}_\infty$}-optimal control via
	finite dimensional {$Q$}-parametrization and linear matrix inequalities},
  booktitle = {Proc. Amer. Contr. Conf.},
  year = {1998},
  pages = {3244-3248},
  address = {Philadelphia},
  endnotereftype = {Conference Proceedings},
  shorttitle = {{Multiobjective} {${/cal H}_2/{/cal H}_\infty$}-optimal control via
	finite dimensional {$Q$}-parametrization and linear matrix inequalities}
}

@ARTICLE{HinPri98,
  author = {Hinrichsen, D. and Pritchard, A. J.},
  title = {{S}tochastik ${H}^\infty$},
  journal = {SIAM J. Contr. Optim.},
  year = {1998},
  volume = {36},
  number = {5},
  pages = {1504-1538},
  endnotereftype = {Journal Article},
  file = {HinPri98.pdf:HinPri98.pdf:PDF;HinPri98.pdf:People\\HinPri98.pdf:PDF;HinPri98.pdf:HinPri98.pdf:PDF},
  keywords = {stochastic},
  shorttitle = {Stochastik $H^\infty$}
}

@INPROCEEDINGS{HirFuj00,
  author = {Hirata, K. and Fujita, M.},
  title = {{M}easurement feedback switching control for systems with state and
	control constraints},
  booktitle = {Proc. Amer. Contr. Conf.},
  year = {2000},
  pages = {3321-3325},
  address = {Chicago, Illinois},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/HirFuj00.pdf:Djvu;HirFuj00.pdf:HirFuj00.pdf:PDF;HirFuj00.pdf:HirFuj00.pdf:PDF},
  shorttitle = {Measurement feedback switching control for systems with state and
	control constraints}
}

@BOOK{HirLem93a,
  author = {Hiriart-Urruty, J.-B. and Lemar/'{e}chal, C.},
  title = {{C}onvex analysis and minimization algorithms {I}},
  year = {1993},
  volume = {305},
  series = {Grundlehren der mathematischen {W}issenschaften},
  publisher = {Springer-Verlag},
  address = {New York},
  endnotereftype = {Book},
  keywords = {convex},
  shorttitle = {Convex analysis and minimization algorithms I}
}

@INPROCEEDINGS{HlaBou92,
  author = {Hlawatsch, F. and Boudreaux-Bartels, G.F.},
  title = {{L}inear and quadratic time-frequency signal represenations},
  booktitle = {IEEE Signal Processing Magazine},
  year = {1992},
  pages = {21-67},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Linear and quadratic time-frequency signal represenations}
}

@ARTICLE{HodHal01,
  author = {Hodel, A.S. and Hall, C.E.},
  title = {{V}ariable-structure {PID} control to prevent integrator windup},
  journal = {IEEE Proceedings on Industrial Electronics},
  year = {2001},
  volume = {48},
  number = {2},
  pages = {442-451},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/HodHal01.pdf:Djvu;HodHal01.pdf:HodHal01.pdf:PDF;HodHal01.pdf:HodHal01.pdf:PDF},
  keywords = {constraints},
  shorttitle = {Variable-structure {PID} control to prevent integrator windup}
}

@BOOK{Hof62,
  author = {Hoffman, K.},
  title = {{B}anach {S}paces of {A}nalytic {F}unctions},
  year = {1962},
  publisher = {Prentice-Hall},
  address = {Englewood Cliffs, New Jersey},
  endnotereftype = {Book},
  shorttitle = {Banach Spaces of Analytic Functions}
}

@ARTICLE{Hol2003,
  author = {Hol, C. and Scherer, C.W. and Mech/'{e}, E. van der and Bosgra, O.H.},
  title = {{A} nonlinear {SDP} approach to fixed-order controller synthesis
	and comparison with two other methods applied to an active suspension
	system},
  journal = {European Journal of Control},
  year = {2003},
  volume = {9},
  number = {1},
  pages = {13-28},
  endnotereftype = {Journal Article},
  file = {HolSch03.pdf},
  keywords = {sdp},
  shorttitle = {A nonlinear SDP approach to fixed-order controller synthesis and comparison
	with two other methods applied to an active suspension system}
}

@INPROCEEDINGS{Hol2004,
  author = {Hol, C.W.J. and Scherer, C.W.},
  title = {{C}omputing {O}ptimal {F}ixed {O}rder ${H}_\infty$-synthesis {V}alues
	by {M}atrix {S}um of {S}quares {R}elaxations},
  booktitle = {Proc. 43rd IEEE Conf. Decision and Control},
  year = {2004},
  pages = {3147-3153},
  address = {Atlantis, Paradise Island, Bahamas},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Computing Optimal Fixed Order ${H}_\infty$-synthesis Values by Matrix
	Sum of Squares Relaxations}
}

@ARTICLE{HolSaf93,
  author = {Holohan, A. M. and Safonov, M. G.},
  title = {{S}ome {C}ounterexamples in {R}obust {S}tability {T}heory},
  journal = {Syst. Contr. Letters},
  year = {1993},
  volume = {21},
  number = {2},
  month = {Aug},
  pages = {95-102},
  note = {Lr516 Times Cited:2 Cited References Count:21},
  issn = {0167-6911},
  abstract = {This note deals with the problem of determining if a linear system
	whose characteristic polynomial depends multilinearly on n independent
	uncertain real parameters DELTA(i), i = 1,...,n, is robustly stable.
	It is shown by example that a polynomial in n variables may have
	a unique real root, and that this observation disposes of several
	natural conjectures in robust stability theory. In particular, we
	show that, in a certain sense, there are no 'edge' or 'm-dimensional
	face' Kharitonov-like theorems for the general multilinear case.
	The result holds even when restricted to that subset of multilinear
	functions which can be written in the form f(DELTA1,...,DELTA(n))
	= det(I + diag(DELTA1,...,DELTA(N)M) for some complex matrix M.},
  endnotereftype = {Journal Article},
  file = {<Go to ISI>://A1993LR51600001},
  keywords = {robust stability kharitonov theorem multilinear polynomials feedback-systems
	uncertainties margin},
  shorttitle = {Some Counterexamples in Robust Stability Theory}
}

@INPROCEEDINGS{HolSch03,
  author = {Hol, C.W.J. and Scherer, C.W. and Mech/'e, E.G. van der and Bosgra,
	O.H.},
  title = {{A} {T}rust-{R}egion {I}nterior {P}oint {A}pproach to {F}ixed-{O}rder
	{C}ontrol applied to the {B}enchmark {S}ystem},
  booktitle = {Proceedings of International Workshop: Design and Optimisation of
	Restricted Complexity Controllers},
  year = {2003},
  address = {Grenoble, France},
  endnotereftype = {Conference Proceedings},
  shorttitle = {A Trust-Region Interior Point Approach to Fixed-Order Control applied
	to the Benchmark System}
}

@INPROCEEDINGS{HolSch04,
  author = {Hol, C.W.J. and Scherer, C.W.},
  editor = {Phillips, S.M.},
  title = {{F}ixed {O}rder {$H_\infty$}-synthesis: {C}omputing {O}ptimal {V}alues
	by {R}obust {P}erformance {A}nalysis},
  booktitle = {Proc. American Control Conf.},
  year = {2004},
  pages = {3285-3290},
  address = {Boston, Mass},
  endnotereftype = {Conference Proceedings},
  file = {HolSch04MTNS.pdf:HolSch04MTNS.pdf:PDF},
  shorttitle = {Fixed Order {$H_\infty$}-synthesis: Computing Optimal Values by Robust
	Performance Analysis}
}

@INPROCEEDINGS{HolSch04MTNS,
  author = {Hol, C.W.J. and Scherer, C.W.},
  editor = {B. De Moor, B. Motmans},
  title = {{S}um of {S}quares {R}elaxations for {P}olynomial {S}emi-definite
	{P}rogramming},
  booktitle = {Proceedings MTNS 2004},
  year = {2004},
  isbn = {90-5682-517-8},
  address = {Leuven, Belgium},
  endnotereftype = {Conference Proceedings},
  file = {HolSch04MTNS.pdf::Djvu;HolSch04MTNS.pdf:HolSch04MTNS.pdf:PDF;HolSch04MTNS.pdf:Scherer\\HolSch04MTNS.pdf:PDF;HolSch04MTNS.pdf:HolSch04MTNS.pdf:PDF},
  shorttitle = {Sum of Squares Relaxations for Polynomial Semi-definite Programming}
}

@INCOLLECTION{HolSch05,
  author = {Hol, C.W.J. and Scherer, C.W.},
  editor = {Henrion, D. and Garulli, A.},
  title = {{A} sum-of-squares approach to fixed-order ${H}_\infty$-synthesis},
  booktitle = {Lecture Notes in Control and Information Sciences},
  year = {2005},
  volume = {312},
  publisher = {Springer-Verlag},
  address = {Berlin, Heidelberg, New York},
  endnotereftype = {Book Section},
  file = {HolSch05.pdf::Djvu;HolSch05.pdf:Scherer\\HolSch05.pdf:PDF;HolSch05.pdf:Scherer\\HolSch05.pdf:PDF},
  keywords = {relaxation sos},
  shorttitle = {ISSN: 0170-8643}
}

@INPROCEEDINGS{HonShu10,
  author = {Hongyan, Chu and Shumin, Fei and Chunmei, Xia and Junyong, Zhai},
  title = {${H}_\infty$ control for nonlinear {NCS} with interval time-varying
	delay and packet dropouts},
  booktitle = {Control and Decision Conference (CCDC), 2010 Chinese},
  year = {2010},
  month = {26-28 May 2010},
  pages = {1888-1891},
  endnotereftype = {Conference Proceedings},
  keywords = {H<sup>&#x221E </sup> control Lyapunov methods control system analysis
	control system synthesis convex programming delays distributed parameter
	systems linear matrix inequalities nonlinear control systems stability
	criteria time-varying systems H&#x221E control Jessen inequality
	Lyapunov function T-S fuzzy model convex optimization problem free
	weighting matrices interval time-varying delay linear matrices inequalities
	model transformations nonlinear networked control systems packet
	dropouts system stability criteria},
  shorttitle = {H&#x221E; control for nonlinear NCS with interval time-varying delay
	and packet dropouts}
}

@INPROCEEDINGS{HonXia08,
  author = {Hong, Yang and Xiao-dong, Liu and Le, Zhang},
  title = {{R}obust controller design for switched fuzzy systems},
  booktitle = {Control and Decision Conference, 2008. CCDC 2008. Chinese},
  year = {2008},
  month = {2-4 July 2008},
  pages = {3436-3440},
  endnotereftype = {Conference Proceedings},
  keywords = {Lyapunov methods asymptotic stability closed loop systems compensation
	continuous time systems control system synthesis fuzzy control fuzzy
	systems robust control state feedback time-varying systems uncertain
	systems Lyapunov function method closed-loop system continuous state
	feedback controller convex combination global asymptotic stability
	parallel distributed compensation controller robust controller design
	switching technique uncertain switched fuzzy system},
  shorttitle = {Robust controller design for switched fuzzy systems}
}

@BOOK{HorJoh85,
  author = {Horn, R.A. and Johnson, C.R.},
  title = {{M}atrix {A}nalysis},
  year = {1985},
  publisher = {Cambrigde University Press},
  address = {New York},
  endnotereftype = {Book},
  shorttitle = {Matrix Analysis}
}

@BOOK{HorTuy90,
  author = {Horst, R. and Tuy, H.},
  title = {{G}lobal {O}ptimization},
  year = {1990},
  publisher = {Springer-Verlag},
  address = {Berlin},
  endnotereftype = {Book},
  shorttitle = {Global Optimization}
}

@ARTICLE{HsiSaf93,
  author = {Hsieh, G. C. and Safonov, M. G.},
  title = {{C}onservatism of the {G}ap {M}etric},
  journal = {IEEE T. Automat. Contr.},
  year = {1993},
  volume = {38},
  number = {4},
  month = {Apr},
  pages = {594-598},
  note = {Le053 Times Cited:8 Cited References Count:16},
  issn = {0018-9286},
  abstract = {It is shown by way of simple examples that the gap metric may be inappropriate
	for quantifying the uncertainty for lightly damped systems, e.g.,
	flexible structures such as spacecraft and aircraft. Two plants having
	otherwise identical transfer functions, except their zeros on the
	imaginary axis are located slightly apart due to perturbations, are
	usually considered very close; i.e., their closed-loop characteristics
	under most stabilizing feedbacks are very similar. However, it is
	demonstrated in this note that when using the gap to quantify the
	plant perturbations, the computed gap may be large. Consequently,
	the stability of the perturbed plant with a stabilizing controller
	designed for the nominal plant cannot be guaranteed via the existing
	stability theorems using the gap metric.},
  endnotereftype = {Journal Article},
  file = {<Go to ISI>://A1993LE05300008},
  keywords = {normalized coprime factorizations multivariable systems robustness},
  shorttitle = {Conservatism of the Gap Metric}
}

@ARTICLE{HuaIoa99,
  author = {Huang, C. H. and Ioannou, P. A. and Maroulas, J. and Safonov, M.
	G.},
  title = {{D}esign of strictly positive real systems using constant output
	feedback},
  journal = {IEEE T. Automat. Contr.},
  year = {1999},
  volume = {44},
  number = {3},
  month = {Mar},
  pages = {569-573},
  note = {He(X(A-BKC))<0 and XB=C^T equivalent to He(XA-C^TKC))<0 and XB=C^T
	which is convex! K can be clearly eliminated!},
  issn = {0018-9286},
  abstract = {In this paper, the authors present a linear matrix inequality (LMI)
	approach to the strictly positive real (SPR) synthesis problem: find
	an output feedback K such that the closed-loop system T(s) is SPR,
	The authors establish that if no such constant output feedback K
	exists, then no dynamic output feedback with a proper transfer matrix
	exists to make the closed-loop system SPR. The existence of K to
	guarantee the SPR property of the closed-loop system is used to develop
	an adaptive control scheme that can stabilize any system of arbitrary
	unknown order and unknown parameters.},
  endnotereftype = {Journal Article},
  file = {HuaIoa99.pdf::Djvu;HuaIoa99.pdf:HuaIoa99.pdf:PDF;HuaIoa99.pdf:HuaIoa99.pdf:PDF},
  keywords = {adaptive control h(infinity) control linear matrix inequality output
	feedback positive real functions theorem},
  shorttitle = {Design of strictly positive real systems using constant output feedback}
}

@INPROCEEDINGS{HuaJad99,
  author = {Huang, J. and Jadbabaie, A.},
  title = {{A}n {E}nhanced {Q}uasi-{LPV} {A}pproach},
  booktitle = {Proc. 14th IFAC World Congres},
  year = {1999},
  endnotereftype = {Conference Proceedings},
  file = {HuaJad99.ps::Djvu;HuaJad99.ps:HuaJad99.ps:PostScript},
  shorttitle = {An Enhanced Quasi-LPV Approach}
}

@INPROCEEDINGS{HuaLin94,
  author = {Huang, J. and Lin, C.F.},
  title = {{A}n algorithm and data structure for approximately computing nonlinear
	{$H_\infty$} control laws},
  booktitle = {Proc. Amer. Contr. Conf.},
  year = {1994},
  pages = {1133-1137},
  address = {Baltimore, Maryland},
  endnotereftype = {Conference Proceedings},
  shorttitle = {An algorithm and data structure for approximately computing nonlinear
	{$H_\infty$} control laws}
}

@INPROCEEDINGS{HuaMen96,
  author = {Huang, C.-H. and Meng, H.-H. and Safonov, M.G.},
  title = {{P}ositive real problem with unstable weighting matrices},
  booktitle = {AIAA Guidance, Navigation and Control Conf.},
  year = {1996},
  pages = {29-21},
  address = {San Diego, CA},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Positive real problem with unstable weighting matrices}
}

@ARTICLE{HuaNgu08,
  author = {Huang, D. and Nguang, S. K.},
  title = {{R}obust disturbance attenuation for uncertain networked control
	systems with random time delays},
  journal = {Control Theory /\& Applications, IET},
  year = {2008},
  volume = {2},
  number = {11},
  pages = {1008-1023},
  issn = {1751-8644},
  endnotereftype = {Journal Article},
  keywords = {Lyapunov methods Markov processes control system synthesis delay systems
	distributed control linear matrix inequalities optimisation robust
	control uncertain systems Lyapunov-Razumikhin method bilinear matrix
	inequalities controller-to-actuator random network-induced delays
	quasiconvex optimisation problems random time delays robust disturbance
	attenuation robust stability sensor-to-controller random network-induced
	delays uncertain networked control systems},
  shorttitle = {Robust disturbance attenuation for uncertain networked control systems
	with random time delays}
}

@ARTICLE{HuBla10,
  author = {Hu, Tingshu and Blanchini, Franco},
  title = {{N}on-conservative matrix inequality conditions for stability/stabilizability
	of linear differential inclusions},
  journal = {Automatica},
  year = {2010},
  volume = {46},
  number = {1},
  pages = {190-196},
  issn = {0005-1098},
  endnotereftype = {Journal Article},
  file = {HuBla10.pdf::Djvu;HuBla10.pdf:HuBla10.pdf:PDF;HuBla10.pdf:HuBla10.pdf:PDF},
  keywords = {Polyhedral functions Composite quadratic functions Stability Stabilization},
  shorttitle = {Non-conservative matrix inequality conditions for stability/stabilizability
	of linear differential inclusions}
}

@INPROCEEDINGS{HuiLig06,
  author = {Huijun, Gao and Ligang, Wu and Peng, Shi and Shaoshuai, Mou and Changhong,
	Wang},
  title = {{N}ew {R}obust {H}/spl infin/ and {L}2-{L}/spl infin/ {F}iltering
	for {LPV} {S}ystems with {B}oth {D}iscrete and {D}istributed {D}elays},
  booktitle = {Proc. American Control Conf.},
  year = {2006},
  month = {14-16 June 2006},
  pages = {5632-5637},
  endnotereftype = {Conference Proceedings},
  keywords = {H<sup>infin</sup> control asymptotic stability control system synthesis
	convex programming delays discrete systems distributed parameter
	systems filtering theory linear matrix inequalities linear systems
	robust control Hscr<sub>infin</sub> filtering Lscr<sub>2</sub>-Lscr<sub>infin</sub>
	filtering convex optimization delay-dependent filtering discrete
	delays distributed delays filtering error dynamics interior-point
	algorithms linear parameter varying systems noise attenuation robust
	filtering},
  shorttitle = {New Robust H/spl infin/ and L2-L/spl infin/ Filtering for LPV Systems
	with Both Discrete and Distributed Delays}
}

@INPROCEEDINGS{HuiQin09,
  author = {Hui, Li and Qing-he, Wu and Huang, Huang},
  title = {{D}istributed {C}ontrol of {M}ulti-robot {F}ormation {B}ased on {S}patially
	{I}nterconnected {M}odel},
  booktitle = {Electronic Computer Technology, 2009 International Conference on},
  year = {2009},
  month = {20-22 Feb. 2009},
  pages = {200-204},
  endnotereftype = {Conference Proceedings},
  keywords = {control system synthesis convex programming distributed control feedback
	linear matrix inequalities mobile robots multi-robot systems position
	control robot dynamics robot kinematics stability 2D plane convex
	optimization coupled systems design procedure distributed controller
	dynamic extension dynamic output feedback controller multirobot formation
	nominal formation system robot kinematic model robust stability spatial
	shift operator spatially interconnected model spatially interconnected
	systems},
  shorttitle = {Distributed Control of Multi-robot Formation Based on Spatially Interconnected
	Model}
}

@ARTICLE{HunChu97,
  author = {Hung, Y.S. and Chu, D.L.},
  title = {{R}elationships between discrete-time and continuous-time algebraic
	{R}iccati inequalities},
  journal = {Linear Alg. Appl.},
  year = {1997},
  endnotereftype = {Journal Article},
  shorttitle = {Relationships between discrete-time and continuous-time algebraic
	{R}iccati inequalities}
}

@ARTICLE{HuTee05,
  author = {Hu, T. and Teel, A. and Lin, Z.},
  title = {{L}yapunov characterization of forced oscillations},
  journal = {automatica},
  year = {2005},
  volume = {41},
  pages = {1723-1735},
  endnotereftype = {Journal Article},
  file = {HuTee05.pdf::Djvu;HuTee05.pdf:HuTee05.pdf:PDF;HuTee05.pdf:HuTee05.pdf:PDF},
  keywords = {lmi},
  shorttitle = {Lyapunov characterization of forced oscillations}
}

@ARTICLE{HyuLal12,
  author = {Hyung Sik, Shin and Lall, S.},
  title = {{D}ecentralized {C}ontrol via {G}\"obner {B}ases and {V}ariable {E}limination},
  journal = {IEEE T. Automat. Contr.},
  year = {2012},
  volume = {57},
  number = {4},
  pages = {1030-1035},
  issn = {0018-9286},
  endnotereftype = {Journal Article},
  keywords = {closed loop systems control system synthesis decentralised control
	feedback optimal control Gro&#x0308 bner bases closed-loop maps effective
	solution methods elimination theory feedback loop optimal decentralized
	controller synthesis quadratically invariant problems technical condition
	variable elimination},
  shorttitle = {Decentralized Control via Gr&#x00F6;bner Bases and Variable Elimination}
}

@Article{Ift02,
  author         = {Green, M. and Glover, K. and Limebeer, D. and Doyle, J.},
  title          = {{A} {J}-spectral factorization approach to ${H}_\infty$ control problems},
  journal        = {SIAM J. Contr. Optim.},
  year           = {1990},
  volume         = {28},
  pages          = {1350-1371},
  endnotereftype = {Journal Article},
  file           = {Ift02.pdf::Djvu;Ift02.pdf:Ift02.pdf:PDF;Ift02.pdf:Ift02.pdf:PDF},
  shorttitle     = {A J-spectral factorization approach to ${H}_\infty$ control problems},
}

@PHDTHESIS{Iftime2002,
  author = {Iftime, O.},
  title = {{A} {J}-spectral factorization approach to ${H}_\infty$ control problems},
  year = {2002},
  address = {Enschede},
  endnotereftype = {Thesis},
  file = {Ift02.pdf},
  school = {Twente},
  shorttitle = {A J-spectral factorization approach to ${H}_\infty$ control problems}
}

@INPROCEEDINGS{ImsSlu01,
  author = {Imsland, L. and Slupphaug, O. and Foss, B.A.},
  title = {{P}iecewise affine observer-based robust controllers for constrained
	nonlinear systems},
  booktitle = {European Control Conf.},
  year = {2001},
  address = {Porto, Portugal},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/ImsSlu01.pdf:Djvu;ImsSlu01.pdf:ImsSlu01.pdf:PDF;ImsSlu01.pdf:ImsSlu01.pdf:PDF},
  keywords = {compartment},
  shorttitle = {Piecewise affine observer-based robust controllers for constrained
	nonlinear systems}
}

@BOOK{IofTih79,
  author = {Ioffe, A.D and Tihomirov, V.M},
  title = {{T}heory of {E}xtremal {P}roblems},
  year = {1979},
  publisher = {North-Holland},
  address = {Amsterdam},
  endnotereftype = {Book},
  shorttitle = {Theory of Extremal Problems}
}

@INPROCEEDINGS{IshFra01,
  author = {Ishii, H. and Francis, B.},
  title = {{S}tabilizing a linear system by switching control and output feedback
	with dwell time},
  booktitle = {Proc. 40th IEEE Conf. Decision and Control},
  year = {2001},
  address = {Orlando, FL},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/IshFra01.pdf:Djvu;IshFra01.pdf:IshFra01.pdf:PDF;IshFra01.pdf:IshFra01.pdf:PDF},
  keywords = {switching},
  shorttitle = {Stabilizing a linear system by switching control and output feedback
	with dwell time}
}

@BOOK{Isi01,
  author = {Isidori, A.},
  title = {{N}onlinear {C}ontrol {S}ystems},
  year = {2001},
  edition = {3rd},
  publisher = {Springer-Verlag},
  address = {Berlin},
  endnotereftype = {Book},
  shorttitle = {Nonlinear Control Systems}
}

@INPROCEEDINGS{Iwa02,
  author = {Iwasaki, T.},
  title = {{R}obust {S}elf-{E}xcitation by {B}iological {O}scillators},
  booktitle = {15th {IFAC} World Congres},
  year = {2002},
  address = {Barcelona},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/Iwa02.pdf:Djvu;Iwa02.pdf:Iwa02.pdf:PDF;Iwa02.pdf:Iwa02.pdf:PDF},
  keywords = {bio},
  shorttitle = {Robust Self-Excitation by Biological Oscillators}
}

@ARTICLE{Iwa96,
  author = {Iwasaki, T.},
  title = {{R}obust {P}erformance {A}nalysis for {S}ystems with {S}tructured
	{U}ncertainty},
  journal = {Int. J. Robust Nonlin.},
  year = {1996},
  volume = {6},
  pages = {85-99},
  endnotereftype = {Journal Article},
  shorttitle = {Robust Performance Analysis for Systems with Structured Uncertainty}
}

@INPROCEEDINGS{Iwa97,
  author = {Iwasaki, T.},
  title = {{R}obust {S}tability {A}nalysis with {Q}uadratic {S}eparator: {P}arametric
	{T}ime-{V}arying {U}ncertainty {C}ase},
  booktitle = {Proc. 36th IEEE Conf. Decision and Control},
  year = {1997},
  pages = {4880-4885},
  address = {San Diego, CA},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/Iwa97.pdf:Djvu;Iwa97.pdf:Iwa97.pdf:PDF;Iwa97.pdf:Iwa97.pdf:PDF},
  shorttitle = {Robust Stability Analysis with Quadratic Separator: Parametric Time-Varying
	Uncertainty Case}
}

@INPROCEEDINGS{IwaHar00,
  author = {Iwasaki, T. and Hara, S. and Yamauchi, H.},
  title = {{S}tructure/control design integration with finite frequency positive
	real property},
  booktitle = {Proc. Amer. Contr. Conf.},
  year = {2000},
  pages = {549 -553},
  address = {Chicago, Illinois},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/IwaHar00.pdf:Djvu;IwaHar00.pdf:IwaHar00.pdf:PDF;IwaHar00.pdf:IwaHar00.pdf:PDF},
  keywords = {robust structure},
  shorttitle = {Structure/control design integration with finite frequency positive
	real property}
}

@INPROCEEDINGS{IwaHar03,
  author = {Iwasaki, T. and Hara, S.},
  title = {{G}eneralization of {K}alman-{Y}akubovi$/breve{/mbox{c}}$-{P}opov
	{L}emma for {R}estricted {F}requency {I}nequalities},
  booktitle = {Proc. American Control Conf.},
  year = {2003},
  address = {Denver, Colorado USA},
  endnotereftype = {Conference Proceedings},
  file = {IwaHar03.pdf:IwaHar03.pdf:PDF;IwaHar03.pdf:IwaHar03.pdf:PDF},
  shorttitle = {Generalization of {K}alman-{Y}akubovi$/breve{/mbox{c}}$-{P}opov Lemma
	for Restricted Frequency Inequalities}
}

@ARTICLE{IwaHar03b,
  author = {Iwasaki, T. and Hara, S. and Yamauchi, H.},
  title = {{D}ynamical {S}ystem {D}esign {F}rom a {C}ontrol {P}erspective: {F}inite
	{F}requency {P}ositive-{R}ealness {A}pproach},
  journal = {IEEE T. Automat. Contr.},
  year = {2003},
  volume = {48},
  number = {8},
  pages = {1337-1354},
  endnotereftype = {Journal Article},
  file = {IwaHar03.pdf},
  keywords = {positive real},
  shorttitle = {Dynamical System Design From a Control Perspective: Finite Frequency
	Positive-Realness Approach}
}

@INPROCEEDINGS{IwaHar96,
  author = {Iwasaki, T. and Hara, S.},
  title = {{W}ell-posedness of feedback systems: insights into exact robustness
	analysis},
  booktitle = {Proc. 35th IEEE Conf. Decision and Control},
  year = {1996},
  pages = {1863-1868},
  address = {Kobe, Japan},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Well-posedness of feedback systems: insights into exact robustness
	analysis}
}

@ARTICLE{IwaHar98,
  author = {Iwasaki, T. and Hara, S.},
  title = {{W}ell-{P}osedness of {F}eedback {S}ystems: {I}nsights {I}nto {E}xact
	{R}obustness {A}nalysis and {A}pproximate {C}omputations},
  journal = {IEEE T. Automat. Contr.},
  year = {1998},
  volume = {43},
  pages = {619-630},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/IwaHar98.pdf:Djvu;IwaHar98.pdf:IwaHar98.pdf:PDF;IwaHar98.pdf:IwaHar98.pdf:PDF},
  shorttitle = {Well-Posedness of Feedback Systems: Insights Into Exact Robustness
	Analysis and Approximate Computations}
}

@ARTICLE{IwaShi01,
  author = {Iwasaki, T. and Shibata, G.},
  title = {{LPV} system analysis via quadratic separator for uncertain implicit
	systems},
  journal = {IEEE T. Automat. Contr.},
  year = {2001},
  volume = {46},
  number = {8},
  pages = {1195-1208},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/IwaShi01.pdf:Djvu;IwaShi01.pdf:IwaShi01.pdf:PDF;IwaShi01.pdf:IwaShi01.pdf:PDF},
  keywords = {lpv robust sdp},
  shorttitle = {{LPV} system analysis via quadratic separator for uncertain implicit
	systems}
}

@UNPUBLISHED{IwaShi99,
  author = {Iwasaki, T. and Shibata, G.},
  title = {{LPV} {S}ystem {A}nalysis {V}ia {Q}uadratic {S}eparator for {U}ncertain
	{I}mplicit {S}ystems},
  year = {1999},
  endnotereftype = {Manuscript},
  shorttitle = {{LPV} System Analysis Via Quadratic Separator for Uncertain Implicit
	Systems}
}

@INPROCEEDINGS{IwaSke93,
  author = {Iwasaki, T. and Skelton, R.E.},
  title = {{A} complete solution to the general {$H_\infty$} control problem:
	{LMI} existence conditions and state space formulas},
  booktitle = {Proc. Amer. Contr. Conf.},
  year = {1993},
  pages = {605-609},
  address = {San Francisco, CA},
  endnotereftype = {Conference Proceedings},
  shorttitle = {A complete solution to the general {$H_\infty$} control problem: {LMI}
	existence conditions and state space formulas}
}

@ARTICLE{IwaSke94,
  author = {Iwasaki, T. and Skelton, R.E.},
  title = {{All} controllers for the general {${\cal H}_\infty$} control problem:
	{LMI} existence conditions and state space formulas},
  journal = {Automatica},
  year = {1994},
  volume = {30},
  pages = {1307-1317},
  endnotereftype = {Journal Article},
  shorttitle = {{All} controllers for the general {${/cal H}_\infty$} control problem:
	{LMI} existence conditions and state space formulas}
}

@INPROCEEDINGS{IwaSke94acc,
  author = {Iwasaki, T. and Skelton, R.E.},
  title = {{A} unified approach to fixed order controller design via linear
	matrix inequalities},
  booktitle = {Proc. Amer. Contr. Conf.},
  year = {1994},
  pages = {35-39},
  address = {Baltimore, Maryland},
  endnotereftype = {Conference Proceedings},
  shorttitle = {A unified approach to fixed order controller design via linear matrix
	inequalities}
}

@ARTICLE{Jab97,
  author = {Jabbari, F.},
  title = {{O}utput feedback controllers for systems with structured uncertainty},
  journal = {IEEE T. Automat. Contr.},
  year = {1997},
  volume = {42},
  number = {5},
  pages = {715-719},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/Jab97.pdf:Djvu;Jab97.pdf:Jab97.pdf:PDF;Jab97.pdf:Jab97.pdf:PDF},
  keywords = {constraints},
  shorttitle = {Output feedback controllers for systems with structured uncertainty}
}

@ARTICLE{JacPre01,
  author = {Jacobi, T. and Prestel, A.},
  title = {{D}istinguished representations of strictly positive polynomials},
  journal = {J. Reine Angew. Math.},
  year = {2001},
  volume = {532},
  pages = {223-235},
  endnotereftype = {Journal Article},
  keywords = {sos},
  shorttitle = {Distinguished representations of strictly positive polynomials}
}

@INPROCEEDINGS{JafKar81,
  author = {Jaffe, S. and Karcanias, N.},
  title = {{M}atrix pencil characterization of almost {$(A,B)$}-invariant subspaces:
	{A} classification of geometric concepts},
  booktitle = {International Journal of Control},
  year = {1981},
  pages = {51-93},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Matrix pencil characterization of almost {$(A,B)$}-invariant subspaces:
	A classification of geometric concepts}
}

@BOOK{Jah94,
  author = {Jahn, J.},
  title = {{I}ntroduction to the {T}heory of {N}onlinear {O}ptimization},
  year = {1994},
  publisher = {Springer-Verlag},
  address = {Berlin},
  endnotereftype = {Book},
  shorttitle = {Introduction to the Theory of Nonlinear Optimization}
}

@INPROCEEDINGS{JamRoe00,
  author = {Jamjareekul, Chaiwat and Roeksabutr, Athikom and Kanchanaharuthai,
	Adirak and Phokharatkul, Pisit},
  title = {{I}ntegral quadratic constraints-based robust controller two-mass-spring
	system},
  booktitle = {IEEE Region 10 Annual International Conference, Proceedings/TENCON},
  year = {2000},
  volume = {1},
  note = {TY - CONF Cited By (since 1996): 1 Export Date: 15 October 2007 Source:
	Scopus},
  month = {2000///},
  pages = {I-429-I-432},
  endnotereftype = {Conference Proceedings},
  file = {http://www.scopus.com/scopus/inward/record.file?eid=2-s2.0-0034427948&partnerID=40&rel=R6.5.0},
  shorttitle = {Integral quadratic constraints-based robust controller two-mass-spring
	system}
}

@BOOK{Jer99,
  author = {Jerri, A.J.},
  title = {{A}n introduction to integral equations with applications},
  year = {1999},
  note = {Rather elementary with interesting examples},
  publisher = {John Wiley /\& Sons},
  address = {New York},
  endnotereftype = {Book},
  shorttitle = {An introduction to integral equations with applications}
}

@ARTICLE{Ji-09,
  author = {Ji-Woong, Lee},
  title = {{I}nequality-{B}ased {P}roperties of {D}etectability and {S}tabilizability
	of {L}inear {T}ime-{V}arying {S}ystems in {D}iscrete {T}ime},
  journal = {IEEE T. Automat. Contr.},
  year = {2009},
  volume = {54},
  number = {3},
  pages = {634-641},
  issn = {0018-9286},
  endnotereftype = {Journal Article},
  file = {Lee08.pdf},
  keywords = {Lyapunov methods Riccati equations discrete time systems linear matrix
	inequalities linear systems stability state feedback time-varying
	systems Lyapunov inequalities Riccati inequalities dynamic-output-feedback
	stabilizability inequality-based properties linear time-varying systems
	detectability linear time-varying systems stabilizability stabilizing
	output injection stabilizing state feedback uniform detectability
	uniform stabilizability},
  shorttitle = {Inequality-Based Properties of Detectability and Stabilizability of
	Linear Time-Varying Systems in Discrete Time}
}

@TECHREPORT{Jib01,
  author = {Jibetean, D.},
  title = {{G}lobal optimization of rational multivariate functions},
  institution = {CWI (Centrum voor Wiskunde en Informatica)},
  year = {2001},
  address = {Amsterdam},
  endnotereftype = {Report},
  shorttitle = {Global optimization of rational multivariate functions}
}

@TECHREPORT{JibKle03,
  author = {Jibetean, D. and {D}e Klerk, E.},
  title = {{G}lobal optimization of rational functions: a semidefinite programming
	approach},
  institution = {CWI (Centrum voor Wiskunde en Informatica)},
  year = {2003},
  address = {Amsterdam},
  endnotereftype = {Report},
  shorttitle = {Global optimization of rational functions: a semidefinite programming
	approach}
}

@INPROCEEDINGS{Ji-Dul07,
  author = {Ji-Woong, Lee and Dullerud, G. E. and Khargonekar, P. P.},
  title = {{A}n output regulation problem for switched linear systems in discrete
	time},
  booktitle = {Decision and Control, 2007 46th IEEE Conference on},
  year = {2007},
  month = {12-14 Dec. 2007},
  isbn = {0191-2216},
  pages = {4993-4998},
  endnotereftype = {Conference Proceedings},
  keywords = {closed loop systems control system analysis control system synthesis
	infinite horizon linear quadratic Gaussian control linear systems
	regulation stability autonomous switching sequences closed-loop stability
	discrete-time switched linear systems infinite-horizon LQG output
	regulation problem receding-horizon control},
  shorttitle = {An output regulation problem for switched linear systems in discrete
	time}
}

@ARTICLE{Ji-Kha09,
  author = {Ji-Woong, Lee and Khargonekar, P. P.},
  title = {{D}etectability and {S}tabilizability of {D}iscrete-{T}ime {S}witched
	{L}inear {S}ystems},
  journal = {IEEE T. Automat. Contr.},
  year = {2009},
  volume = {54},
  number = {3},
  pages = {424-437},
  issn = {0018-9286},
  endnotereftype = {Journal Article},
  file = {LeeKha09.pdf},
  keywords = {discrete time systems linear matrix inequalities linear systems stability
	state feedback time-varying systems arbitrary switching path constraints
	autonomous switching causal finite-path-dependent detectability causal
	finite-path-dependent stabilizability causal finite-path-dependent
	stabilizing output injection discrete-time switched linear systems
	dynamic output feedback stabilization linear matrix inequality conditions
	state feedback laws time-varying detectability time-varying stabilizability},
  shorttitle = {Detectability and Stabilizability of Discrete-Time Switched Linear
	Systems}
}

@Article{Joe97,
  author         = {J{\"o}nsson, U. T.},
  title          = {{S}tability analysis with {P}opov multipliers and integral quadratic constraints},
  journal        = {Syst. Control Lett.},
  year           = {1997},
  volume         = {31},
  number         = {2},
  pages          = {85-92},
  abstract       = {It is shown that a general form of Popov multipliers can be used in
	stability analysis based on integral quadratic constraints (IQC).
	The Popov multiplier is nonproper and a condition that the nominal
	plant is strictly proper will be imposed in order to ensure boundedness
	of the IQC corresponding to the Popov multiplier. A consequence of
	our main result is that the classical Popov criterion can be combined
	with a stability criterion for slope restricted nonlinearities developed
	by Zames and Falb. An example shows that the combination of these
	two criteria is useful in applications.},
  endnotereftype = {Journal Article},
  file           = {Jon97.pdf:Jon97.pdf:PDF},
  groups         = {used, Fetzer},
  keywords       = {Stability Multipliers Popov criterion},
  shorttitle     = {Stability analysis with Popov multipliers and integral quadratic constraints},
}

@INPROCEEDINGS{Joh02,
  author = {Johansson, M.},
  title = {{P}iecewise {Q}uadratic {E}stimates of {D}omains of {A}ttraction
	for {L}inear {S}ystems with {S}aturation},
  booktitle = {15th {IFAC} World Congres},
  year = {2002},
  publisher = {Elsevier},
  address = {Barcelona},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/Joh02.pdf:Djvu;Joh02.pdf:Joh02.pdf:PDF;Joh02.pdf:Joh02.pdf:PDF},
  keywords = {constraints},
  shorttitle = {Piecewise Quadratic Estimates of Domains of Attraction for Linear
	Systems with Saturation}
}

@INPROCEEDINGS{JohKri96,
  author = {Johannessen, E. and Kristiansen, D. and Egeland, O.},
  title = {{S}ynthesis of {$H_\infty$} controllers with a passivity constraint},
  booktitle = {Proc. 35th IEEE Conf. Decision and Control},
  year = {1996},
  pages = {2860-2861},
  address = {Kobe, Japan},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Synthesis of {$H_\infty$} controllers with a passivity constraint}
}

@INPROCEEDINGS{JokLaz09,
  author = {Jokic, A. and Lazar, M.},
  title = {{O}n decentralized stabilization of discrete-time nonlinear systems},
  booktitle = {Proc. American Control Conf.},
  year = {2009},
  month = {10-12 June 2009},
  isbn = {0743-1619},
  pages = {5777-5782},
  endnotereftype = {Conference Proceedings},
  keywords = {Lyapunov methods control system synthesis convex programming decentralised
	control discrete time systems distributed control interconnected
	systems nonlinear control systems optimal control stability communication
	network controller synthesis convex optimization decentralized stabilization
	information constraint interconnected discrete-time nonlinear system
	structured control Lyapunov function},
  shorttitle = {On decentralized stabilization of discrete-time nonlinear systems}
}

@INPROCEEDINGS{Jon06,
  author = {J\"onsson, U.},
  editor = {Yamamoto, Yutaka},
  title = {{H}armonic balance for uncertain systems},
  booktitle = {MTNS 2006},
  year = {2006},
  address = {Kyoto, Japan},
  endnotereftype = {Conference Proceedings},
  file = {Jon06.pdf},
  shorttitle = {Harmonic balance for uncertain systems}
}

@ARTICLE{Jon97,
  author = {Jonsson, Ulf},
  title = {{S}tability analysis with {P}opov multipliers and integral quadratic
	constraints},
  journal = {Syst. Contr. Letters},
  year = {1997},
  volume = {31},
  number = {2},
  month = {1997},
  pages = {85-92},
  note = {TY - JOUR},
  abstract = {It is shown that a general form of Popov multipliers can be used in
	stability analysis based on integral quadratic constraints (IQC).
	The Popov multiplier is nonproper and a condition that the nominal
	plant is strictly proper will be imposed in order to ensure boundedness
	of the IQC corresponding to the Popov multiplier. A consequence of
	our main result is that the classical Popov criterion can be combined
	with a stability criterion for slope restricted nonlinearities developed
	by Zames and Falb. An example shows that the combination of these
	two criteria is useful in applications.},
  endnotereftype = {Journal Article},
  file = {Jon97.pdf:Jon97.pdf:PDF;Jon97.pdf:Jon97.pdf:PDF},
  keywords = {Stability Multipliers Popov criterion},
  shorttitle = {Stability analysis with Popov multipliers and integral quadratic constraints}
}

@ARTICLE{Jon99,
  author = {J\"onsson, U.},
  title = {{A} {P}opov {C}riterion for {S}ystems with {S}lowly {T}ime-{V}arying
	{P}arameters},
  journal = {IEEE T. Automat. Contr.},
  year = {1999},
  volume = {44},
  number = {4},
  pages = {844-846},
  endnotereftype = {Journal Article},
  shorttitle = {A {P}opov Criterion for Systems with Slowly Time-Varying Parameters}
}

@INPROCEEDINGS{JonCha04,
  author = {Jongbae, Lee and Chang-Woo, Park and Joongki, Chung and Hagyeong,
	Sung},
  title = {{D}igital stabilization of fuzzy systems with network-delay},
  booktitle = {Robotics, Automation and Mechatronics, 2004 IEEE Conference on},
  year = {2004},
  volume = {1},
  month = {1-3 Dec. 2004},
  pages = {519-524 vol.1},
  endnotereftype = {Conference Proceedings},
  keywords = {Lyapunov methods control system analysis control system synthesis
	convex programming delay systems delays digital control distributed
	control feedback fuzzy control fuzzy systems linear matrix inequalities
	stability Lyapunov function control design convex optimization digital
	stabilization discrete Takagi-Sugeno fuzzy model fuzzy feedback controller
	linear matrix inequality theory network control network delay parallel
	distributed compensation},
  shorttitle = {Digital stabilization of fuzzy systems with network-delay}
}

@INPROCEEDINGS{JonKao06,
  author = {J\"onsson, U. and Kao, C. Y. and Fujioka, H.},
  editor = {Yamamoto, Yutaka},
  title = {{A} {P}opov criterion for networked systems},
  booktitle = {MTNS 2006},
  year = {2006},
  address = {Kyoto, Japan},
  endnotereftype = {Conference Proceedings},
  file = {JonKao06.pdf::Djvu;JonKao06.pdf:JonKao06.pdf:PDF;JonKao06.pdf:JonKao06.pdf:PDF},
  keywords = {iqc},
  shorttitle = {A {P}opov criterion for networked systems}
}

@Article{JonKao07,
  author         = {J\"onsson, U. and Kao, C. Y. and Fujioka, H.},
  journal        = {Syst. Control Lett.},
  title          = {{A} {P}opov criterion for networked systems},
  year           = {2007},
  number         = {9-10},
  pages          = {603-610},
  volume         = {56},
  endnotereftype = {Journal Article},
  file           = {JonKao07.pdf:JonKao07.pdf:PDF},
  groups         = {SchVee18, SchEbe20},
  keywords       = {iqc},
  shorttitle     = {A {P}opov criterion for networked systems},
}

@INPROCEEDINGS{JonLal11,
  author = {Jong-Han, Kim and Lall, S. and Merrill, W. and Behbahani, A.},
  title = {{D}ecentralized robust control via quadratically invariant model
	projection},
  booktitle = {American Control Conference (ACC), 2011},
  year = {2011},
  month = {June 29 2011-July 1 2011},
  isbn = {0743-1619},
  pages = {527-532},
  endnotereftype = {Conference Proceedings},
  keywords = {H<sup>&#x221E </sup> control control system synthesis decentralised
	control optimisation robust control convex optimization problems
	decentralized H<sub>&#x221E </sub> suboptimal controllers decentralized
	robust control nonconvex problem quadratically invariant model projection
	robust control synthesis techniques},
  shorttitle = {Decentralized robust control via quadratically invariant model projection}
}

@Article{JonMeg00,
  author         = {J\"onsson, U. and Megretski, A.},
  journal        = {IEEE T. Automat. Contr.},
  title          = {{T}he {Z}ames-{F}alb {IQC} for {S}ystems with {I}ntegrators},
  year           = {2000},
  number         = {3},
  pages          = {560-565},
  volume         = {45},
  endnotereftype = {Journal Article},
  groups         = {SchVee18},
  shorttitle     = {The {Z}ames-{F}alb {IQC} for Systems with Integrators},
}

@ARTICLE{JonMeg05,
  author = {J\"onsson, U. T. and Megretski, A.},
  title = {{A} small-gain theory for limit cycles of systems on {L}ure form},
  journal = {{SIAM} J. Control Optim.},
  year = {2005},
  volume = {44},
  number = {3},
  pages = {909-938},
  endnotereftype = {Journal Article},
  file = {JonMeg05.pdf},
  keywords = {iqc},
  shorttitle = {A small-gain theory for limit cycles of systems on {L}ure form}
}

@ARTICLE{JonRan96,
  author = {J\"onsson, U. and Rantzer, A.},
  title = {{S}ystems with uncertain parameters - time-variations with bounded
	derivatives},
  journal = {International Journal of Robust and Nonlinear Control},
  year = {1996},
  volume = {6},
  number = {9-10},
  pages = {969-982},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/JonRan97.pdf},
  keywords = {robust},
  shorttitle = {Systems with uncertain parameters - time-variations with bounded derivatives}
}

@ARTICLE{JonRan97,
  author = {J\"onsson, U. and Rantzer, A.},
  title = {{D}uality bounds in robustness analysis},
  journal = {Automatica},
  year = {1997},
  volume = {33},
  number = {10},
  pages = {1835-1844},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/JonRan97.pdf:Djvu;JonRan97.pdf:JonRan97.pdf:PDF;JonRan97.pdf:JonRan97.pdf:PDF},
  keywords = {robust},
  shorttitle = {Duality bounds in robustness analysis}
}

@BOOK{Jor70,
  author = {J\"orgens, K.},
  title = {{L}ineare {I}ntegraloperatoren},
  year = {1970},
  publisher = {Teubner},
  address = {Stuttgart},
  endnotereftype = {Book},
  shorttitle = {Lineare Integraloperatoren}
}

@INPROCEEDINGS{JovBam03,
  author = {Jovanovic, M. R. and Bamieh, B.},
  title = {{E}xact computation of frequency responses for a class of infinite
	dimensional systems},
  booktitle = {Decision and Control, 2003. Proceedings. 42nd IEEE Conference on},
  year = {2003},
  volume = {2},
  month = {9-12 Dec. 2003},
  isbn = {0191-2216},
  pages = {1339-1344 Vol.2},
  endnotereftype = {Conference Proceedings},
  keywords = {boundary-value problems distributed parameter systems frequency response
	matrix algebra multidimensional systems state-space methods differential
	operator frequency responses infinite dimensional systems two point
	boundary value state-space realizations},
  shorttitle = {Exact computation of frequency responses for a class of infinite dimensional
	systems}
}

@INPROCEEDINGS{JovBam03a,
  author = {Jovanovic, M. R. and Bamieh, B.},
  title = {{L}yapunov-based output-feedback distributed control of systems on
	lattices},
  booktitle = {Decision and Control, 2003. Proceedings. 42nd IEEE Conference on},
  year = {2003},
  volume = {2},
  month = {9-12 Dec. 2003},
  isbn = {0191-2216},
  pages = {1333-1338 Vol.2},
  endnotereftype = {Conference Proceedings},
  keywords = {Lyapunov methods adaptive control control system synthesis distributed
	parameter systems feedback stability Lyapunov-based output-feedback
	adaptive output-feedback controllers distributed control distributed
	controllers distributed output variable distributed sensing lattices
	system regulation system stabilization},
  shorttitle = {Lyapunov-based output-feedback distributed control of systems on lattices}
}

@INPROCEEDINGS{JovBam03b,
  author = {Jovanovic, M. R. and Bamieh, B.},
  title = {{L}yapunov-based state-feedback distributed control of systems on
	lattices},
  booktitle = {Proc. American Control Conf.},
  year = {2003},
  volume = {1},
  month = {4-6 June 2003},
  isbn = {0743-1619},
  pages = {101-106 vol.1},
  endnotereftype = {Conference Proceedings},
  keywords = {Lyapunov methods actuators adaptive control asymptotic stability control
	system synthesis decentralised control distributed control distributed
	sensors distributed tracking state feedback uncertain systems Lyapunov
	based framework adaptive controller design asymptotic tracking computer
	simulations decentralized distributed controllers lattices microcantilever
	arrays parametric uncertainties regulation satellites arrays spatially
	distributed sensors spatially varying stabilization state feedback
	distributed control synchronous orbit unmanned aerial vehicles vehicular
	platoons control},
  shorttitle = {Lyapunov-based state-feedback distributed control of systems on lattices}
}

@INPROCEEDINGS{JovBam03c,
  author = {Jovanovic, M. R. and Bamieh, B. and Grebeck, M.},
  title = {{P}arametric resonance in spatially distributed systems},
  booktitle = {Proc. American Control Conf.},
  year = {2003},
  volume = {1},
  month = {4-6 June 2003},
  isbn = {0743-1619},
  pages = {119-124 vol.1},
  endnotereftype = {Conference Proceedings},
  keywords = {Fourier transforms distributed control distributed parameter systems
	feedback partial differential equations spatiotemporal phenomena
	stability vibration control Fourier expansion series PDE destabilize
	systems distributed sensorless control lifting framework parametric
	resonance periodic coefficients sensorless periodic feedbacks spatially
	distributed systems spatially periodic functions spatiotemporal vibrational
	control stabilize systems},
  shorttitle = {Parametric resonance in spatially distributed systems}
}

@INPROCEEDINGS{JovBam04,
  author = {Jovanovic, M. R. and Bamieh, B.},
  title = {{A}rchitecture induced by distributed backstepping design},
  booktitle = {Proc. 43rd IEEE Conf. Decision and Control},
  year = {2004},
  volume = {4},
  month = {14-17 Dec. 2004},
  isbn = {0191-2216},
  pages = {3774-3779 Vol.4},
  endnotereftype = {Conference Proceedings},
  keywords = {asymptotic stability control system synthesis distributed control
	multidimensional systems control induced interactions distributed
	backstepping design infinite dimensional systems large-scale systems
	lattices nonlinear systems worst case controller architecture},
  shorttitle = {Architecture induced by distributed backstepping design}
}

@INPROCEEDINGS{JovBam04a,
  author = {Jovanovic, M. R. and Bamieh, B.},
  title = {{O}n the ill-posedness of certain vehicular platoon control problems},
  booktitle = {Proc. 43rd IEEE Conf. Decision and Control},
  year = {2004},
  volume = {4},
  month = {14-17 Dec. 2004},
  isbn = {0191-2216},
  pages = {3780-3785 Vol.4},
  endnotereftype = {Conference Proceedings},
  file = {JovBam04a.pdf:JovBam04a.pdf:PDF},
  groups = {distributed},
  keywords = {distributed parameter systems feedback linear quadratic control stability
	vehicles LQR formulation closed-loop systems ill-posedness nonstabilizing
	optimal feedbacks optimal control spatially invariant systems stabilizability
	vehicular platoon control problems},
  shorttitle = {On the ill-posedness of certain vehicular platoon control problems}
}

@ARTICLE{JovBam05,
  author = {Jovanovic, M. R. and Bamieh, B.},
  title = {{L}yapunov-based distributed control of systems on lattices},
  journal = {IEEE T. Automat. Contr.},
  year = {2005},
  volume = {50},
  number = {4},
  pages = {422-433},
  issn = {0018-9286},
  endnotereftype = {Journal Article},
  keywords = {Lyapunov methods adaptive control control system synthesis distributed
	control stability Lyapunov-based distributed control distributed
	actuators distributed sensors microcantilevers array unmanned aerial
	vehicles vehicular platoons control},
  shorttitle = {Lyapunov-based distributed control of systems on lattices}
}

@ARTICLE{JovBam07,
  author = {Jovanovic, M. R. and Bamieh, B.},
  title = {{A}rchitecture {I}nduced by {D}istributed {B}ackstepping {D}esign},
  journal = {IEEE T. Automat. Contr.},
  year = {2007},
  volume = {52},
  number = {1},
  pages = {108-113},
  issn = {0018-9286},
  endnotereftype = {Journal Article},
  keywords = {Lyapunov methods control system synthesis decentralised control distributed
	control large-scale systems multidimensional systems nonlinear control
	systems controller architecture decentralized control Lyapunov function
	distributed backstepping design infinite dimensional system large-scale
	system nonlinear infinite dimensional systems},
  shorttitle = {Architecture Induced by Distributed Backstepping Design}
}

@INPROCEEDINGS{JuaYeh94,
  author = {Juang, J.C. and Yeh, H.H. and Banda, S.S.},
  title = {{R}educed-order {$H^\infty$} controller design and separation principle},
  booktitle = {Proc. Amer. Contr. Conf.},
  year = {1994},
  pages = {1123-1127},
  address = {Baltimore, Maryland},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Reduced-order {$H^\infty$} controller design and separation principle}
}

@BOOK{Jun99,
  author = {Jungnickel, D.},
  title = {{O}ptimierungsmethoden: {E}ine {E}inf{\"u}hrung},
  year = {1999},
  publisher = {Springer-Verlag},
  address = {Berlin},
  endnotereftype = {Book},
  shorttitle = {Optimierungsmethoden: Eine Einf{\"u}hrung}
}

@ARTICLE{JunSaf01,
  author = {Jun, M. and Safonov, M. G.},
  title = {{IQC} robustness analysis for time-delay systems},
  journal = {International Journal of Robust and Nonlinear Control},
  year = {2001},
  volume = {11},
  number = {15},
  month = {Dec 30},
  pages = {1455-1468},
  note = {515RV Times Cited:12 Cited References Count:19},
  issn = {1049-8923},
  abstract = {Stability robustness of systems with uncertain time delays is considered.
	A new delay-dependent state-space stability criterion is formulated
	in the form of an easily checked LMI condition. Two applications
	of the main result are presented, one with only time-delay uncertainty
	and one with both delay and parametric uncertainty. Copyright (C)
	2001 John Wiley Sons, Ltd.},
  endnotereftype = {Journal Article},
  file = {<Go to ISI>://000173511000005:Djvu},
  keywords = {time-delay stability robustness linear matrix inequality (lmi) feedback-systems
	stability},
  shorttitle = {IQC robustness analysis for time-delay systems}
}

@Article{JunSaf01a,
  author         = {Jun, M. and Safonov, M. G.},
  journal        = {Journal of the Franklin Institute-Engineering and Applied Mathematics},
  title          = {{M}ultiplier {IQC}s for uncertain time delays},
  year           = {2001},
  issn           = {0016-0032},
  month          = {Mar-May},
  note           = {423LE Times Cited:1 Cited References Count:14},
  number         = {2-3},
  pages          = {335-351},
  volume         = {338},
  abstract       = {This paper describes a set of delay-dependent IQCs for time-delay
	uncertainty. The set is linearly parameterized in terms of the frequency
	response of a complex scalar-valued multiplier. Using LMI optimization
	techniques, one may compute optimal multipliers and thereby obtain
	less conservative IQC stability robustness bounds for systems with
	uncertain time delays. (C) 2001 The Franklin Institute. Published
	by Elsevier Science Ltd. All rights reserved.},
  endnotereftype = {Journal Article},
  file           = {<Go to ISI>://000168177100012},
  groups         = {SchVee18},
  keywords       = {time-deley system stability criteria multiplier robust control iqc input-output stability feedback-systems},
  shorttitle     = {Multiplier IQCs for uncertain time delays},
}

@Article{JunSav02,
  author         = {Jun, M. and Safonov, M. G.},
  journal        = {IEEE T. Automat. Contr.},
  title          = {{R}ational {M}u{I}tiplier {IQC}s for uncertain time-delays and {LMI} stability conditions},
  year           = {2002},
  month          = {Nov},
  number         = {11},
  pages          = {1871-1875},
  volume         = {47},
  endnotereftype = {Journal Article},
  file           = {JunSav02.pdf:JunSav02.pdf:PDF;JunSav02.pdf:JunSav02.pdf:PDF},
  groups         = {SchVee18},
  keywords       = {iqc},
  shorttitle     = {Rational MuItiplier {IQC}s for uncertain time-delays and {LMI} stability conditions},
}

@INCOLLECTION{Kai87,
  author = {Kailath, T.},
  editor = {Landau, H.J.},
  title = {{S}ignal processing applications of some moment problems},
  booktitle = {Moments in Mathematics},
  year = {1987},
  volume = {37},
  publisher = {American Mathematical Society},
  pages = {154},
  address = {Providence, Rhode Island},
  endnotereftype = {Book Section},
  keywords = {moments},
  shorttitle = {Signal processing applications of some moment problems},
  type = {Survey on various applications speech analysis and syntheis. Good
	overview of classical results and relation to fast computations (displacement).}
}

@BOOK{KaiSay99,
  author = {Kailath, T. and Sayed, A.},
  title = {{F}ast reliable algorithms for matrices with structure},
  year = {1999},
  publisher = {SIAM Publications},
  endnotereftype = {Book},
  shorttitle = {Fast reliable algorithms for matrices with structure}
}

@ARTICLE{Kal60,
  author = {Kalman, R.E.},
  title = {{A} new approach to linear filtering and prediction problems},
  journal = {Transactions of the ASME - Journal of Basic Engineering},
  year = {1960},
  volume = {82 (Series D)},
  pages = {35-45},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/Kalman1960.pdf},
  keywords = {filtering},
  shorttitle = {A new approach to linear filtering and prediction problems}
}

@ARTICLE{KamKha93,
  author = {Kaminer, I. and Khargonekar, P.P. and Rotea, M.A.},
  title = {{M}ixed $\cal {H}$/$\cal {H}_\infty$ control for discrete-time systems
	via convex optimization},
  journal = {Automatica},
  year = {1993},
  volume = {29},
  pages = {57-70},
  endnotereftype = {Journal Article},
  shorttitle = {{Mixed} {${/cal H}_2/{/cal H}_\infty$} control for discrete-time systems
	via convex optimization}
}

@ARTICLE{Kan86,
  author = {Kang, H.},
  title = {{U}nstable {W}eights in the {C}ombination of {F}orecasts},
  journal = {Management Science},
  year = {1986},
  volume = {32},
  number = {6},
  month = {Jun},
  pages = {683-695},
  note = {C7526 Times Cited:53 Cited References Count:12},
  issn = {0025-1909},
  endnotereftype = {Journal Article},
  file = {<Go to ISI>://A1986C752600004},
  shorttitle = {Unstable Weights in the Combination of Forecasts}
}

@INPROCEEDINGS{KanGri00,
  author = {Kan, Tan and Grigoriadis, K. N.},
  title = {{R}obust decentralized control using an alternating projection approach},
  booktitle = {Proc. American Control Conf.},
  year = {2000},
  volume = {2},
  month = {2000},
  pages = {801-805 vol.2},
  endnotereftype = {Conference Proceedings},
  keywords = {continuous time systems control system analysis control system synthesis
	decentralised control discrete time systems geometry linear systems
	matrix algebra robust control stability alternating projection approach
	feasibility problem fixed-order constraints geometric formulation
	interval constraints linear matrix inequalities nonconvex rank constraint
	robust decentralized control structural constraints},
  shorttitle = {Robust decentralized control using an alternating projection approach}
}

@ARTICLE{KanHui97,
  author = {Kang-Zhi, Liu and Hui, Zhang and Tsutomu, Mita},
  title = {{S}olution to nonsingular ${H}_2$ optimal control problem with unstable
	weights},
  journal = {Syst. Contr. Letters},
  year = {1997},
  volume = {32},
  number = {1},
  pages = {1-10},
  issn = {0167-6911},
  endnotereftype = {Journal Article},
  file = {KanHui97.pdf::Djvu;KanHui97.pdf:KanHui97.pdf:PDF;KanHui97.pdf:KanHui97.pdf:PDF},
  keywords = {H2 synthesis Unstable weight Comprehensive stability Servo system
	Estimation Riccati equation Quasi-stabilizing solution},
  shorttitle = {Solution to nonsingular ${H}_2$ optimal control problem with unstable
	weights}
}

@ARTICLE{KanOhs01,
  author = {Yoshihiro Kanno, Makoto Ohsaki, Kazuo Murota and Naoki Katoh},
  title = {{G}roup {S}ymmetry in {I}nterior-{P}oint {M}ethods for {S}emidefinite
	{P}rogram},
  journal = {Optimization and Engineering},
  year = {2001},
  volume = {2},
  number = {3},
  pages = {293-320},
  endnotereftype = {Journal Article},
  file = {KanOhs01.pdf::Djvu;KanOhs01.pdf:KanOhs01.pdf:PDF;KanOhs01.pdf:KanOhs01.pdf:PDF},
  keywords = {sdp},
  shorttitle = {Group Symmetry in Interior-Point Methods for Semidefinite Program}
}

@INPROCEEDINGS{KanSch02,
  author = {Kanev, S. and de Schutter, B. and Verhaegen, M.},
  title = {{T}he ellipsoid algorithm for probabilistic robust controller design},
  booktitle = {Proc. 41th IEEE Conf. Decision and Control},
  year = {2002},
  pages = {2248-2253},
  address = {Las Vegas, Nevada, USA},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/KanSch02.pdf:Djvu;KanSch02.pdf:KanSch02.pdf:PDF;KanSch02.pdf:KanSch02.pdf:PDF},
  keywords = {robust design},
  shorttitle = {The ellipsoid algorithm for probabilistic robust controller design}
}

@INPROCEEDINGS{KanSch03,
  author = {Kanev, S. and Scherer, C.W. and Verhaegen, M. and de Schutter, B.},
  title = {{A} {BMI} {O}ptimization {A}pproach to {R}obust {O}utput-{F}eedback
	{C}ontrol},
  booktitle = {Proc. 42nd IEEE Conf. Decision and Control},
  year = {2003},
  pages = {851-856},
  address = {Maui, Hawaii},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/KanSch02.pdf},
  keywords = {robust design},
  shorttitle = {A BMI Optimization Approach to Robust Output-Feedback Control}
}

@ARTICLE{KanSch04,
  author = {Kanev, S. and Scherer, C. and Verhaegen, M. and {D}e Schutter, B.},
  title = {{R}obust output-feedback controller design via local {BMI} optimization},
  journal = {Automatica},
  year = {2004},
  volume = {40},
  number = {7},
  month = {2004},
  pages = {1115-1127},
  endnotereftype = {Journal Article},
  file = {KanSch04.pdf::Djvu;KanSch04.pdf:KanSch04.pdf:PDF;KanSch04.pdf:KanSch04.pdf:PDF},
  keywords = {robust},
  shorttitle = {Robust output-feedback controller design via local BMI optimization}
}

@ARTICLE{KanSch04a,
  author = {Kanev, S. and Scherer, C. and Verhaegen, M. and De Schutter, B.},
  title = {{R}obust output-feedback controller design via local {BMI} optimization},
  journal = {Automatica},
  year = {2004},
  volume = {40},
  number = {7},
  month = {Jul},
  pages = {1115-1127},
  note = {827MO Times Cited:52 Cited References Count:53},
  issn = {0005-1098},
  abstract = {The problem of designing a globally optimal full-order output-feedback
	controller for polytopic uncertain systems is known to be a non-convex
	NP-hard optimization problem, that can be represented as a bilinear
	matrix inequality optimization problem for most design objectives.
	In this paper a new approach is proposed to the design of locally
	optimal controllers. It is iterative by nature, and starting from
	any initial feasible controller it performs local optimization over
	a suitably defined non-convex function at each iteration. The approach
	features the properties of computational efficiency, guaranteed convergence
	to a local optimum, and applicability to a very wide range of problems.
	Furthermore, a fast (but conservative) LMI-based procedure for computing
	an initially feasible controller is also presented. The complete
	approach is demonstrated on a model of one joint of a real-life space
	robotic manipulator. (C) 2004 Elsevier Ltd. All rights reserved.},
  endnotereftype = {Journal Article},
  file = {<Go to ISI>://000221904200002},
  keywords = {multiobjective control robust control design structured uncertainty
	dynamic output-feedback lmis bilinear matrix inequalities h-infinity
	synthesis order control design global optimization linear-systems
	parameter uncertainty algorithms h-2 feasibility formulas},
  shorttitle = {Robust output-feedback controller design via local BMI optimization}
}

@INPROCEEDINGS{KanTom02,
  author = {Kanamori, M. and Tomizuka, M.},
  title = {{D}ynamic {A}nti-{I}ntegrator-{W}indup {C}ontroller {D}esign for
	{L}inear {S}ystems},
  booktitle = {15th {IFAC} World Congres},
  year = {2002},
  publisher = {Elsevier},
  address = {Barcelona},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/KanTom02.pdf:Djvu;KanTom02.pdf:KanTom02.pdf:PDF;KanTom02.pdf:KanTom02.pdf:PDF},
  keywords = {constraints},
  shorttitle = {Dynamic Anti-Integrator-Windup Controller Design for Linear Systems}
}

@INPROCEEDINGS{KanVer00,
  author = {Kanev, S. and Verhaegen, M.},
  title = {{A} bank of reconfigurable {LQG} controllers for linear systems subject
	to failures},
  booktitle = {Proc. 39th IEEE Conf. Decision and Control},
  year = {2000},
  pages = {3694-3689},
  address = {Sydney, Australia},
  endnotereftype = {Conference Proceedings},
  file = {KanVer00.pdf:Topics\\Constraint\\KanVer00.pdf:PDF;KanVer00.pdf:Topics\\Constraint\\KanVer00.pdf:PDF},
  keywords = {switching},
  shorttitle = {A bank of reconfigurable {LQG} controllers for linear systems subject
	to failures}
}

@ARTICLE{KaoMeg04,
  author = {Kao, C. Y. and Megretski, A. and J\"onsson, U.},
  title = {{S}pecialized fast algorithms for {IQC} feasibility and optimization
	problems},
  journal = {Automatica},
  year = {2004},
  volume = {40},
  number = {2},
  month = {Feb},
  pages = {239-252},
  endnotereftype = {Journal Article},
  file = {KaoMeg04.pdf::Djvu;KaoMeg04.pdf:KaoMeg04.pdf:PDF;KaoMeg04.pdf:KaoMeg04.pdf:PDF},
  keywords = {iqc},
  shorttitle = {Specialized fast algorithms for {IQC} feasibility and optimization
	problems}
}

@ARTICLE{KaoRan07,
  author = {Kao, C.-Y. and Rantzer, A.},
  title = {{S}tability analysis of systems with uncertain time-varying delays},
  journal = {Automatica},
  year = {2007},
  volume = {43},
  number = {6},
  month = {2007///},
  pages = {959-970},
  note = {TY - JOUR Export Date: 24 October 2007 Source: Scopus},
  endnotereftype = {Journal Article},
  file = {KaoRan07.pdf:KaoRan07.pdf:PDF;KaoRan07.pdf:KaoRan07.pdf:PDF},
  shorttitle = {Stability analysis of systems with uncertain time-varying delays}
}

@INPROCEEDINGS{KaoRav00,
  author = {Kao, C. Y. and Ravuri, M. and Megretski, A.},
  title = {{C}ontrol synthesis with dynamic integral quadratic constraints -
	{LMI} approach},
  booktitle = {Proc. 39th IEEE Conf. Decision and Control},
  year = {2000},
  pages = {1477-1482},
  address = {Sydney, Australia},
  endnotereftype = {Conference Proceedings},
  file = {KaoRav00.pdf::Djvu;KaoRav00.pdf:KaoRav00.pdf:PDF;KaoRav00.pdf:KaoRav00.pdf:PDF},
  keywords = {iqc},
  shorttitle = {Control synthesis with dynamic integral quadratic constraints - {LMI}
	approach}
}

@INPROCEEDINGS{KapPan99,
  author = {Kapila, V. and Pan, H.},
  title = {{C}ontrol of discrete-time systems with actuator nonlinearities:
	an {LMI} approach},
  booktitle = {Proc. 38th IEEE Conf. Decision and Control},
  year = {1999},
  pages = {1419-1420},
  address = {Phoenix, Arizona},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Control of discrete-time systems with actuator nonlinearities: an
	{LMI} approach}
}

@INPROCEEDINGS{KapPan99b,
  author = {Kapila, V. and Pan, H. and de Queiroz, M.S.},
  title = {{LMI}-based control of linear systems with actuator amplitude and
	rate nonlinearities},
  booktitle = {Proc. 38th IEEE Conf. Decision and Control},
  year = {1999},
  pages = {1413-1418},
  address = {Phoenix, Arizona},
  endnotereftype = {Conference Proceedings},
  keywords = {constraints},
  shorttitle = {{LMI}-based control of linear systems with actuator amplitude and
	rate nonlinearities}
}

@INPROCEEDINGS{KarBam01,
  author = {Karlsson, N. and Bamieh, B.},
  title = {{O}ptimal nonlinear distributed control of spatially-invariant systems},
  booktitle = {Decision and Control, 2001. Proceedings of the 40th IEEE Conference
	on},
  year = {2001},
  volume = {5},
  month = {2001},
  pages = {4382-4387 vol.5},
  endnotereftype = {Conference Proceedings},
  keywords = {Hilbert spaces distributed control distributed parameter systems linear
	systems multidimensional systems nonlinear control systems optimal
	control series (mathematics) state feedback tensors linear distributed
	systems multi-dimensional Fourier transforms nonquadratic performance
	criteria optimal nonlinear distributed control optimal value function
	power series recursive procedure spatially-invariant systems},
  shorttitle = {Optimal nonlinear distributed control of spatially-invariant systems}
}

@INPROCEEDINGS{KarNin10,
  author = {Karimi, H. R. and Ningsu, Luo and Zapateiro, M.},
  title = {{A} convex optimization approach for vibration control of base isolated
	structures with limited wireless communication capacity},
  booktitle = {Control and Fault-Tolerant Systems (SysTol), 2010 Conference on},
  year = {2010},
  month = {6-8 Oct. 2010},
  pages = {783-788},
  endnotereftype = {Conference Proceedings},
  keywords = {H<sup>&#x221E </sup> control Lyapunov methods asymptotic stability
	closed loop systems control system synthesis convex programming delays
	distributed control radiocommunication structural engineering vibration
	control H<sub>&#x221E </sub> control Lyapunov-Krasovskii functional
	theory base isolated structure closed loop system convex optimization
	data packet dropout delay range dependent condition measurement quantization
	signal transmission delay wireless communication},
  shorttitle = {A convex optimization approach for vibration control of base isolated
	structures with limited wireless communication capacity}
}

@BOOK{KarStu69,
  author = {Karlin, S. and Studden, W.J.},
  title = {{T}chebyscheff {S}ystems: {W}ith {A}pplications in {A}nalysis and
	{S}tatistics},
  year = {1969},
  publisher = {Interscience Publishers},
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  shorttitle = {Tchebyscheff Systems: With Applications in Analysis and Statistics}
}

@INPROCEEDINGS{KawKan10,
  author = {Kawanishi, M. and Kaneko, T. and Narikiyo, T.},
  title = {{C}ontrol system design based on distributed probabilistic model-building
	genetic algorithm},
  booktitle = {SICE Annual Conference 2010, Proceedings of},
  year = {2010},
  month = {18-21 Aug. 2010},
  pages = {2835-2837},
  endnotereftype = {Conference Proceedings},
  keywords = {control system synthesis distributed control genetic algorithms probability
	problem solving control system design distributed probabilistic model
	genetic algorithm meta-heuristics nonconvex control problems},
  shorttitle = {Control system design based on distributed probabilistic model-building
	genetic algorithm}
}

@ARTICLE{KeeBha97,
  author = {Keel, L. and Bhattacharyya, S.},
  title = {{R}obust, fragile, or optimal?},
  journal = {IEEE T. Automat. Contr.},
  year = {1997},
  volume = {42},
  pages = {1098-1105},
  endnotereftype = {Journal Article},
  shorttitle = {Robust, fragile, or optimal?}
}

@INPROCEEDINGS{Kha96,
  author = {Khammash, M.},
  title = {{S}olution of the {$l_1$} {MIMO} {C}ontrol {P}roblem {W}ithout {Z}ero
	{I}nterpolation},
  booktitle = {Proc. 35th IEEE Conf. Decision and Control},
  year = {1996},
  volume = {4},
  pages = {4040-4045},
  address = {Kobe, Japan},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Solution of the {$l_1$} {MIMO} Control Problem Without Zero Interpolation}
}

@BOOK{Khalil1996,
  author = {Khalil, H.},
  title = {{N}onlinear {S}ystems},
  year = {1996},
  edition = {2},
  publisher = {Prentice Hall},
  address = {Englewood Cliffs, New Jersey},
  endnotereftype = {Book},
  shorttitle = {Nonlinear Systems}
}

@INPROCEEDINGS{KhaPet88,
  author = {Khargonekar, P.P. and Petersen, I.R. and Rotea, M.A.},
  title = {{$H_\infty$}-optimal control with state-feedback},
  booktitle = {IEEE T. Automat. Contr.},
  year = {1988},
  pages = {786-788},
  endnotereftype = {Conference Proceedings},
  shorttitle = {{$H_\infty$}-optimal control with state-feedback}
}

@ARTICLE{KhaPet90,
  author = {Khargonekar, P. and Petersen, I. and Zhou, K.},
  title = {{R}obust stabilization of uncertain systems and ${/cal H^\infty}$
	optimal control},
  journal = {IEEE T. Automat. Contr.},
  year = {1990},
  volume = {35},
  pages = {356-361},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/KhaPet90.pdf:Djvu;KhaPet90.pdf:KhaPet90.pdf:PDF;KhaPet90.pdf:KhaPet90.pdf:PDF},
  keywords = {robust ${H}_\infty$},
  shorttitle = {Robust stabilization of uncertain systems and ${/cal {H}^\infty}$
	optimal control}
}

@INPROCEEDINGS{KhaPoo89,
  author = {Khargonekar, P.P. and Poolla, K.},
  title = {{R}obust control of linear time-invariant plants using switching
	and nonlinear feedback},
  booktitle = {Proc. 28th IEEE Conf. Decision and Control},
  year = {1989},
  note = {Reference list on advantage of non-linear over linear controllers},
  pages = {1776-1779},
  address = {Tampa, FL},
  endnotereftype = {Conference Proceedings},
  file = {KhaPoo89.pdf::Djvu;KhaPoo89.pdf:KhaPoo89.pdf:PDF;KhaPoo89.pdf:KhaPoo89.pdf:PDF},
  keywords = {robust},
  shorttitle = {Robust control of linear time-invariant plants using switching and
	nonlinear feedback}
}

@ARTICLE{KhaRot91,
  author = {Khargonekar, P.P. and Rotea, M.A.},
  title = {{Mixed} {${/cal H}_2/{/cal H}_\infty$} control: a convex optimization
	approach},
  journal = {IEEE T. Automat. Contr.},
  year = {1991},
  volume = {36},
  pages = {824-837},
  endnotereftype = {Journal Article},
  shorttitle = {{Mixed} {${/cal H}_2/{/cal H}_\infty$} control: a convex optimization
	approach}
}

@ARTICLE{KhaRot91a,
  author = {Khargonekar, P. and Rotea, M.A.},
  title = {{M}ultiple {O}bjective {O}ptimal {C}ontrol of {L}inear {S}ystems:
	{T}he {Q}uadratic {N}orm {C}ase},
  journal = {IEEE T. Automat. Contr.},
  year = {1991},
  volume = {36},
  pages = {14-24},
  endnotereftype = {Journal Article},
  file = {KhaRot91a.pdf:KhaRot91a.pdf:PDF},
  shorttitle = {Multiple Objective Optimal Control of Linear Systems: The Quadratic
	Norm Case}
}

@INPROCEEDINGS{KieSch00,
  author = {Kiesm\"uller, G.P. and Scherer, C.W.},
  editor = {B. Fleischmann, R. Lasch, U. Derigs, W. Domschke, U. Rieder},
  title = {{A}pproximate {O}ptimal {P}olicies for a {S}tochastic {F}inite {H}orizon
	{O}ne {P}roduct {R}ecovery {I}nventory {M}odel},
  booktitle = {Operations Research Proceedings 2000},
  year = {2000},
  pages = {310-315},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Approximate Optimal Policies for a Stochastic Finite Horizon One Product
	Recovery Inventory Model}
}

@ARTICLE{KieSch03,
  author = {Kiesm\"uller, G.P. and Scherer, C.W.},
  title = {{C}omputational issues in a stochastic finite horizon one product
	recovery inventory model},
  journal = {European Journal of Operations Research},
  year = {2003},
  volume = {146},
  number = {3},
  pages = {553-579},
  endnotereftype = {Journal Article},
  file = {KieSch03.pdf::Djvu;KieSch03.pdf:KieSch03.pdf:PDF;KieSch03.pdf:KieSch03.pdf:PDF},
  shorttitle = {Computational issues in a stochastic finite horizon one product recovery
	inventory model}
}

@ARTICLE{KimJab00,
  author = {Kim, K.-S. and Jabbari, F.},
  title = {{U}sing scales in the multiobjective approach},
  journal = {IEEE T. Automat. Contr.},
  year = {2000},
  volume = {45},
  number = {5},
  pages = {973-977},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/KimJab00.pdf:Djvu;KimJab00.pdf:KimJab00.pdf:PDF;KimJab00.pdf:KimJab00.pdf:PDF},
  shorttitle = {Using scales in the multiobjective approach}
}

@INPROCEEDINGS{Kip03,
  author = {Kipnis, M. M.},
  title = {{T}he {B}oolean averaging procedure, common to three systems in statistical
	mechanics, control and signal processing},
  booktitle = {Physics and Control, 2003. Proceedings. 2003 International Conference},
  year = {2003},
  volume = {1},
  month = {20-22 Aug. 2003},
  pages = {76-79 vol.1},
  endnotereftype = {Conference Proceedings},
  keywords = {Boolean algebra Hubbard model analogue-digital conversion delta modulation
	sampled data systems signal processing statistical mechanics Boolean
	averaging procedure analogue-digital converter leaky integration
	sampled data control system sigma delta modulation},
  shorttitle = {The Boolean averaging procedure, common to three systems in statistical
	mechanics, control and signal processing}
}

@InProceedings{KiyHar01,
  author         = {Kiyama, T. and Hara, S. and Iwasaki, T.},
  booktitle      = {Proc. 40th IEEE Conf. Decision and Control},
  title          = {{W}hen does or does not circle criterion help in robust control synthesis for {LTI} systems with sector type nonlinearities?},
  year           = {2001},
  address        = {Orlando, FL},
  pages          = {39-44},
  endnotereftype = {Conference Proceedings},
  file           = {x:/Bibfiles/KiyHar01.pdf:Djvu;KiyHar01.pdf:KiyHar01.pdf:PDF;KiyHar01.pdf:KiyHar01.pdf:PDF},
  groups         = {SchVee18},
  keywords       = {iqc},
  shorttitle     = {When does or does not circle criterion help in robust control synthesis for {LTI} systems with sector type nonlinearities?},
}

@ARTICLE{KlePas02,
  author = {De~Klerk, E. and Pasechnik, D.V.},
  title = {{A}pproximation of the stability number of a graph via copositive
	programming},
  journal = {SIAM J. Optim.},
  year = {2002},
  volume = {12},
  number = {4},
  pages = {875-892},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/KlePas02.pdf:Djvu;KlePas02.pdf:KlePas02.pdf:PDF;KlePas02.pdf:KlePas02.pdf:PDF},
  keywords = {relaxation},
  shorttitle = {Approximation of the stability number of a graph via copositive programming}
}

@BOOK{Kni00,
  author = {Knight, K.},
  title = {{M}athematical {S}tatistics},
  year = {2000},
  publisher = {Chapman /\& Hall},
  address = {Boca Raton, London, New York, Washington DC},
  endnotereftype = {Book},
  keywords = {stochastic},
  shorttitle = {Mathematical Statistics}
}

@INPROCEEDINGS{KoeJab96,
  author = {K\"ose, I.E. and Jabbari, F. and Schmittendorf, W.E.},
  title = {{A} direct characterization of {$L_2$}-gain controllers for {LPV}
	systems},
  booktitle = {Proc. 35th IEEE Conf. Decision and Control},
  year = {1996},
  pages = {3990-3995},
  address = {Kobe, Japan},
  endnotereftype = {Conference Proceedings},
  shorttitle = {A direct characterization of {$L_2$}-gain controllers for {LPV} systems}
}

@INPROCEEDINGS{KoeNgu96,
  author = {K\"ose, I.E. and Nguyen, T. and Jabbari, F.},
  title = {{A} new characterization for positive real and {$/ast$}-norm controllers},
  booktitle = {Proc. 35th IEEE Conf. Decision and Control},
  year = {1996},
  pages = {2846-2847},
  address = {Kobe, Japan},
  endnotereftype = {Conference Proceedings},
  shorttitle = {A new characterization for positive real and {$/ast$}-norm controllers}
}

@INPROCEEDINGS{Kog01,
  author = {Kogan, M.M.},
  title = {{F}requency-domain tests for robust control designs},
  booktitle = {European Control Conf.},
  year = {2001},
  pages = {1542-1547},
  address = {Porto, Portugal},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/Kog01.pdf:Djvu;Kog01.pdf:Kog01.pdf:PDF;Kog01.pdf:Kog01.pdf:PDF},
  keywords = {FDI},
  shorttitle = {Frequency-domain tests for robust control designs}
}

@TECHREPORT{Kojima2003,
  author = {Kojima, M.},
  title = {{S}ums of {S}quares {R}elaxations of {P}olynomial {S}emidefinite
	{P}rograms},
  institution = {Tokyo Institute of Technology},
  year = {2003},
  endnotereftype = {Report},
  shorttitle = {Sums of Squares Relaxations of Polynomial Semidefinite Programs}
}

@TECHREPORT{KojMur04,
  author = {Kojima, M. and Muramatsu, M.},
  title = {{A}n {E}xtension of {S}ums of {S}quares {R}elaxations to {P}olynomial
	{O}ptimization {P}roblems over {S}ymmetric {C}ones},
  year = {2004},
  endnotereftype = {Report},
  shorttitle = {An Extension of Sums of Squares Relaxations to Polynomial Optimization
	Problems over Symmetric Cones}
}

@INPROCEEDINGS{KooPap01,
  author = {Koo, T.J. and Pappas, G.J. and Sastry, S.},
  title = {{M}ulti-modal control of systems with constraints},
  booktitle = {Proc. 40th IEEE Conf. Decision and Control},
  year = {2001},
  address = {Orlando, FL},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/KooPap01.pdf:Djvu;KooPap01.pdf:KooPap01.pdf:PDF;KooPap01.pdf:KooPap01.pdf:PDF},
  keywords = {switching},
  shorttitle = {Multi-modal control of systems with constraints}
}

@INPROCEEDINGS{KorSch05,
  author = {K\"{o}ro/u{g}lu, H. and Scherer, C.W.},
  title = {{R}obust performance analysis for linear slowly time-varying perturbations},
  booktitle = {Proc. 44th IEEE Conf. Decision and Control},
  year = {2005},
  address = {Sevilla, Spain},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Robust performance analysis for linear slowly time-varying perturbations}
}

@ARTICLE{KorSch07,
  author = {K\"{o}ro/u{g}lu, H. and Scherer, C.W.},
  title = {{R}obust {P}erformance {A}nalysis for {S}tructured {L}inear {T}ime-{V}arying
	{P}erturbations with {B}ounded {R}ates-of-{V}ariation},
  journal = {IEEE T. Automat. Contr.},
  year = {2007},
  volume = {52},
  number = {2},
  pages = {197-211},
  endnotereftype = {Journal Article},
  file = {KorSch07.pdf:KorSch07.pdf:PDF;KorSch07.pdf:KorSch07.pdf:PDF},
  keywords = {iqc},
  shorttitle = {Robust Performance Analysis for Structured Linear Time-Varying Perturbations
	with Bounded Rates-of-Variation}
}

@ARTICLE{KorSch08,
  author = {K\"{o}ro/u{g}lu, H. and Scherer, C.W.},
  title = {{A}n {LMI} approach to ${H}_2$ synthesis subject to almost asymptotic
	regulation constraints},
  journal = {Syst. Control Lett.},
  year = {2008},
  volume = {57},
  number = {4},
  pages = {300-308},
  note = {Export Date: 6 January 2009 Source: Scopus},
  endnotereftype = {Journal Article},
  file = {http://www.scopus.com/scopus/inward/record.file?eid=2-s2.0-38949099316&partnerID=40:Djvu;KorSch08.pdf:KorSch08.pdf:PDF;KorSch08.pdf:KorSch08.pdf:PDF},
  shorttitle = {An LMI approach to ${H}_2$ synthesis subject to almost asymptotic
	regulation constraints}
}

@INPROCEEDINGS{KorSco11,
  author = {Korniienko, A. and Scorletti, G. and Colinet, E. and Blanco, E. and
	Juillard, J. and Galayko, D.},
  title = {{C}ontrol law synthesis for distributed multi-agent systems: {A}pplication
	to active clock distribution networks},
  booktitle = {American Control Conference (ACC), 2011},
  year = {2011},
  month = {June 29 2011-July 1 2011},
  isbn = {0743-1619},
  pages = {4691-4696},
  endnotereftype = {Conference Proceedings},
  keywords = {H<sup>&#x221E </sup> control control engineering computing control
	system synthesis decentralised control distributed control linear
	matrix inequalities multi-agent systems optimisation phase locked
	loops stability H&#x221E control design H&#x221E norm constraint
	LMI constraint PLL network design active clock distribution network
	control law synthesis convex optimization approach decentralized
	control law design dissipativity input-output approach distributed
	multiagent system global stability identical oscillator interconnection
	matrix linear matrix inequality phase-locked-loop transfer function},
  shorttitle = {Control law synthesis for distributed multi-agent systems: Application
	to active clock distribution networks}
}

@INPROCEEDINGS{KorWer01,
  author = {Korba, P. and Werner, H.},
  title = {{C}ounter-example to ad-hoc off-equlibrium linearization methods
	in gain-scheduling},
  booktitle = {Proc. 40th IEEE Conf. Decision and Control},
  year = {2001},
  pages = {1342-1347},
  address = {Orlando, FL},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/KorWer01.pdf:Djvu;KorWer01.pdf:KorWer01.pdf:PDF;KorWer01.pdf:KorWer01.pdf:PDF},
  shorttitle = {Counter-example to ad-hoc off-equlibrium linearization methods in
	gain-scheduling}
}

@INPROCEEDINGS{KosJab01,
  author = {K\"ose, I.E. and Jabbari, F.},
  title = {{C}ontrol of systems with actuator amplitude and rate constraints},
  booktitle = {Proc. Amer. Contr. Conf.},
  year = {2001},
  pages = {4914-4919},
  address = {Arlington, VA},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/KosJab01.pdf:Djvu;KosJab01.pdf:KosJab01.pdf:PDF;KosJab01.pdf:KosJab01.pdf:PDF},
  shorttitle = {Control of systems with actuator amplitude and rate constraints}
}

@ARTICLE{KosSaf01,
  author = {Kosut, R. L. and Safonov, M. G.},
  title = {{A}daptive control, with confidence},
  journal = {International Journal of Adaptive Control and Signal Processing},
  year = {2001},
  volume = {15},
  number = {5},
  month = {Aug},
  pages = {429-429},
  note = {Sp. Iss. SI 462KT Times Cited:0 Cited References Count:0},
  issn = {0890-6327},
  endnotereftype = {Journal Article},
  file = {<Go to ISI>://000170419800001},
  shorttitle = {Adaptive control, with confidence}
}

@INPROCEEDINGS{KosSch06,
  author = {K\"ose, I.E. and Scherer, C.W.},
  title = {{G}ain-{S}cheduled {C}ontrol using {D}ynamic {I}ntegral {Q}uadratic
	{C}onstraints},
  booktitle = {5th IFAC Symposium on Robust Control Design},
  year = {2006},
  address = {Toulouse, France},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Gain-Scheduled Control using Dynamic Integral Quadratic Constraints}
}

@INPROCEEDINGS{KosSch07,
  author = {K\"ose, I. E and Scherer, C.W.},
  title = {{R}obust feedforward control of uncertain systems using dynamic {IQC}s},
  booktitle = {Proceedings of the IEEE Conference on Decision and Control},
  year = {2008},
  pages = {2181-2186},
  endnotereftype = {Conference Proceedings},
  file = {http://www.scopus.com/scopus/inward/record.file?eid=2-s2.0-39549119799&partnerID=40},
  shorttitle = {Robust feedforward control of uncertain systems using dynamic IQCs}
}

@ARTICLE{KosSch09,
  author = {K\"ose, I. E. and Scherer, C.W.},
  title = {{R}obust ${L}_2$-gain feedforward control of uncertain systems using
	dynamic {IQC}s},
  journal = {International Journal of Robust and Nonlinear Control},
  year = {2009},
  pages = {24},
  endnotereftype = {Journal Article},
  file = {KosSch09.pdf::Djvu;KosSch09.pdf:Scherer\\KosSch09.pdf:PDF;KosSch09.pdf:Scherer\\KosSch09.pdf:PDF},
  keywords = {Feedforward},
  shorttitle = {Robust ${L}_2$-gain feedforward control of uncertain systems using
	dynamic {IQC}s}
}

@ARTICLE{KosSch09a,
  author = {Kose, I. E. and Scherer, C.W.},
  title = {{R}obust {L}(2)-gain feedforward control of uncertain systems using
	dynamic {IQC}s},
  journal = {International Journal of Robust and Nonlinear Control},
  year = {2009},
  volume = {19},
  number = {11},
  month = {Jul 25},
  pages = {1224-1247},
  note = {466BW Times Cited:1 Cited References Count:15},
  issn = {1049-8923},
  abstract = {We consider the problem of robust L(2)-gain disturbance feedforward
	control for uncertain systems described in the standard LFT form.
	We use integral quadratic constraints (IQCs) for describing the uncertainty
	blocks in the system. For technical reasons related to the feedforward
	problem, throughout the paper, we work with the duals of the constraints
	involved in robustness analysis using IQCs. We obtain a convex solution
	to the problem using a state-space characterization of nominal stability
	that we have developed recently. Specifically, our solution consists
	of LMI conditions for the existence of a feedforward controller that
	guarantees a given L(2)-gain for the closed-loop system. We demonstrate
	the effectiveness of using dynamic IQCs in robust feedforward design
	through a numerical example. Copyright (C) 2008 John Wiley & Sons,
	Ltd.},
  endnotereftype = {Journal Article},
  file = {<Go to ISI>://000267636600002},
  keywords = {feedforward control uncertain systems integral quadratic constraints
	constraints},
  shorttitle = {Robust L(2)-gain feedforward control of uncertain systems using dynamic
	IQCs}
}

@ARTICLE{KotBal96,
  author = {Kothare, M.V. and Balakrishnan, V. and Morari, M.},
  title = {{R}obust {C}ontrained {M}odel {P}redictive {C}ontrol {U}sing {L}inear
	{M}atrix {I}nequalities},
  journal = {Automatica},
  year = {1996},
  volume = {32},
  pages = {1361-1379},
  endnotereftype = {Journal Article},
  shorttitle = {Robust Contrained Model Predictive Control Using Linear Matrix Inequalities}
}

@ARTICLE{KotCam94,
  author = {Kothare, M.V. and Campo, P.J. and Morari, M. and Nett, C.N.},
  title = {{A} {U}nified {F}ramework for the {S}tudy of {A}nti-{W}indup {D}esigns},
  journal = {Automatica},
  year = {1994},
  volume = {30},
  pages = {1869-1883},
  endnotereftype = {Journal Article},
  file = {KotCam94.pdf:KotCam94.pdf:PDF;KotCam94.pdf:KotCam94.pdf:PDF},
  shorttitle = {A Unified Framework for the Study of Anti-Windup Designs}
}

@ARTICLE{KotMor99,
  author = {Kothare, M.V. and Morari, M.},
  title = {{M}ultiplier {T}heory for {S}tability {A}nalysis of {A}nti-{W}indup
	{C}ontrol {S}ystems},
  journal = {Automatica},
  year = {1999},
  volume = {35},
  pages = {917-928},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/KotMor99.pdf:Djvu;KotMor99.pdf:KotMor99.pdf:PDF;KotMor99.pdf:KotMor99.pdf:PDF},
  shorttitle = {Multiplier Theory for Stability Analysis of Anti-Windup Control Systems}
}

@BOOK{Kre78,
  author = {Kreyszig, E.},
  title = {{I}ntroductory {F}unctional {A}nalysis with {A}pplications},
  year = {1978},
  publisher = {Wiley},
  endnotereftype = {Book},
  keywords = {functional analysis},
  shorttitle = {Introductory Functional Analysis with Applications}
}

@BOOK{Kri84,
  author = {Krishnan, V.},
  title = {{N}onlinear {F}iltering and {S}moothing: {A}n {I}ntroduction to {M}artingales,
	{S}tochastic {I}ntegrals and {E}stimation},
  year = {1984},
  publisher = {John Wiley /\& Sons},
  endnotereftype = {Book},
  keywords = {stochastic},
  shorttitle = {Nonlinear Filtering and Smoothing: An Introduction to Martingales,
	Stochastic Integrals and Estimation}
}

@INPROCEEDINGS{KSch06,
  author = {K\"{o}ro/u{g}lu, H. and Scherer, C.W.},
  title = {{R}obust stability analysis against perturbations of smoothly time-varying
	parameters},
  booktitle = {Proceedings of the IEEE Conference on Decision and Control},
  year = {2006},
  note = {Cited By (since 1996): 1 Export Date: 6 January 2009 Source: Scopus
	Art. No.: 4177304},
  pages = {2895-2900},
  endnotereftype = {Conference Proceedings},
  file = {http://www.scopus.com/scopus/inward/record.file?eid=2-s2.0-39649115594&partnerID=40},
  shorttitle = {Robust stability analysis against perturbations of smoothly time-varying
	parameters}
}

@INPROCEEDINGS{KSch07,
  author = {K\"{o}ro/u{g}lu, H. and Scherer, C.W.},
  title = {{A}n {LPV} control approach to asymptotic rejection of non-stationary
	disturbances with guaranteed worst-case performance},
  booktitle = {Proc. American Control Conf.},
  year = {2007},
  note = {Export Date: 6 January 2009 Source: Scopus Art. No.: 4282141},
  pages = {6085-6090},
  endnotereftype = {Conference Proceedings},
  file = {http://www.scopus.com/scopus/inward/record.file?eid=2-s2.0-46449094638&partnerID=40},
  shorttitle = {An LPV control approach to asymptotic rejection of non-stationary
	disturbances with guaranteed worst-case performance}
}

@ARTICLE{KSch08,
  author = {K\"oroglu, Hakan and Scherer, Carsten W.},
  title = {{A}n {LMI} approach to synthesis subject to almost asymptotic regulation
	constraints},
  journal = {Syst. Contr. Letters},
  year = {2008},
  volume = {57},
  number = {4},
  month = {2008/4},
  pages = {300-308},
  note = {TY - JOUR},
  issn = {0167-6911},
  endnotereftype = {Journal Article},
  file = {http://www.sciencedirect.com/science/article/B6V4X-4R05J15-2/2/dc3be509e001a5d3fbba918b5b9208bf},
  keywords = {Asymptotic regulation Disturbance attenuation Linear matrix inequalities
	(LMI) synthesis},
  shorttitle = {An LMI approach to synthesis subject to almost asymptotic regulation
	constraints}
}

@MISC{KulKot08,
  author = {Kulkami, V.V. and Kothare, M.V. and Safonov, M.G.},
  title = {{S}tabilizing {A}nti-{W}indup {C}ontrollers for {P}ower {A}llocation
	in {C}ellular {N}etworks},
  year = {2008},
  endnotereftype = {Generic},
  file = {KulKot08.pdf::Djvu;KulKot08.pdf:KulKot08.pdf:PDF;KulKot08.pdf:KulKot08.pdf:PDF},
  shorttitle = {Stabilizing Anti-Windup Controllers for Power Allocation in Cellular
	Networks}
}

@Misc{KulKot08a,
  author         = {Kulkami, V.V. and Kothare, M.V. and Safonov, M.G.},
  title          = {{S}tabilizing {A}nti-{W}indup {C}ontrollers for {P}ower {A}llocation in {C}ellular {N}etworks},
  year           = {2008},
  endnotereftype = {Generic},
  file           = {KulKot08.pdf},
  groups         = {Fetzer},
  shorttitle     = {Stabilizing Anti-Windup Controllers for Power Allocation in Cellular Networks},
}

@ARTICLE{KulKot10,
  author = {Kulkarni, V. V. and Kothare, M. V. and Safonov, M. G.},
  title = {{D}ecentralized dynamic nonlinear controllers to minimize transmit
	power in cellular networks, {P}art {I}},
  journal = {Syst. Contr. Letters},
  year = {2010},
  volume = {59},
  number = {5},
  month = {May},
  pages = {294-298},
  note = {611FS Times Cited:0 Cited References Count:21},
  issn = {0167-6911},
  abstract = {We consider the problem of synthesizing decentralized transmit power
	control for finite-gain stable cellular code division multiple access
	(CDMA) networks subject to saturation constraints on the mobile transmit
	powers. We show that the passivity theorem and an extension of the
	Zames-Falb multipliers can be used to synthesize the required distributed
	decentralized nonlinear dynamic controllers, to be implemented at
	the base station and at the mobile users, including a multi-input-multi-output
	(MIMO) anti-windup controller that can be implemented on the mobile
	hand-sets. (C) 2010 Elsevier B.V. All rights reserved.},
  endnotereftype = {Journal Article},
  file = {<Go to ISI>://000278797900004},
  keywords = {cellular networks anti-windup distributed decentralized transmit power
	control passivity stability repeated monotone nonlinearities input-output
	stability feedback systems multipliers positivity saturation},
  shorttitle = {Decentralized dynamic nonlinear controllers to minimize transmit power
	in cellular networks, Part I}
}

@INPROCEEDINGS{KulPao06,
  author = {Kulkarni, V.V. and Pao, L.Y. and Falb, P.L.},
  title = {{S}tability multipliers for memoryless positive nonlinearities: {P}arameterizations
	based on the nonlinearity graph},
  booktitle = {Proc. American Control Conf.},
  year = {2006},
  volume = {2006},
  note = {TY - CONF Export Date: 16 October 2007 Source: Scopus Art. No.: 1655333},
  month = {2006},
  pages = {74-81},
  endnotereftype = {Conference Proceedings},
  file = {KulPao06.pdf::Djvu;KulPao06.pdf:KulPao06.pdf:PDF;KulPao06.pdf:KulPao06.pdf:PDF},
  keywords = {iqc},
  shorttitle = {Stability multipliers for memoryless positive nonlinearities: Parameterizations
	based on the nonlinearity graph}
}

@ARTICLE{KulPao11,
  author = {Kulkarni, V. V. and Pao, L. Y. and Safonov, M. G.},
  title = {{O}n stability analysis of systems featuring a multiplicative combination
	of nonlinear and linear time-invariant feedback},
  journal = {International Journal of Robust and Nonlinear Control},
  year = {2011},
  volume = {21},
  number = {18},
  month = {Dec},
  pages = {2101-2108},
  note = {851UD Times Cited:0 Cited References Count:15},
  issn = {1049-8923},
  abstract = {We show that sufficient conditions for the finite-gain stability of
	certain systems featuring a multiplicative combination of memoryless
	nonlinear feedback and linear time-invariant feedback, as encountered
	in some systems' biology prototype applications, can be obtained
	by building on the Rantzer multipliers. These results are obtained
	by observing that for all finite energy signals x, the time-truncated
	inner product < x, H(x)N(x)>(T) is positive for all T > 0 if N belongs
	to a subclass of positive memoryless monotone nonlinearities and
	if, in addition, H is a Rantzer multiplier. Copyright (C) 2011 John
	Wiley & Sons, Ltd.},
  endnotereftype = {Journal Article},
  file = {<Go to ISI>://000297295500004},
  keywords = {stability multipliers monotone nonlinearities zames-falb multipliers
	integral quadratic constraints mimo nonlinearities multipliers monotone},
  shorttitle = {On stability analysis of systems featuring a multiplicative combination
	of nonlinear and linear time-invariant feedback}
}

@ARTICLE{KulPao11a,
  author = {Kulkarni, V. V. and Pao, L. Y. and Safonov, M. G.},
  title = {{P}ositivity {P}reservation {P}roperties of the {R}antzer {M}ultipliers},
  journal = {IEEE T. Automat. Contr.},
  year = {2011},
  volume = {56},
  number = {1},
  month = {Jan},
  pages = {190-194},
  note = {705DJ Times Cited:0 Cited References Count:8},
  issn = {0018-9286},
  abstract = {The Rantzer multipliers are known to preserve the positivity of certain
	aberrations of memoryless monotone positive nonlinearities. We show
	that if the nonlinearity input is constrained to be positive valued
	for all time instants, these multipliers are positivity preserving
	for a larger class of nonlinearities. As a result, it follows that
	the Rantzer multipliers are useful in reducing the conservatism inherent
	in the multiplier theoretic stability analysis of feedback systems
	featuring a larger class of nonlinearities than the one these multipliers
	were originally intended for, so long as the nonlinearity input is
	positive-valued for all time instants.},
  endnotereftype = {Journal Article},
  file = {<Go to ISI>://000286108800022},
  keywords = {monotone nonlinearities multipliers nonlinear systems stability zames-falb
	multipliers nonlinearities},
  shorttitle = {Positivity Preservation Properties of the Rantzer Multipliers}
}

@INPROCEEDINGS{KulSaf01,
  author = {Kulkami, V.V. and Safonov, M. G.},
  title = {{I}ncremental positivity non-preservation by stability mulitpliers},
  booktitle = {Proc. 40th IEEE Conf. Decision and Control},
  year = {2001},
  pages = {33-38},
  address = {Orlando, FL},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/KulSaf01.pdf:Djvu;KulSaf01.pdf:KulSaf01.pdf:PDF;KulSaf01.pdf:KulSaf01.pdf:PDF},
  keywords = {iqc},
  shorttitle = {Incremental positivity non-preservation by stability mulitpliers}
}

@ARTICLE{KulSaf02,
  author = {Kulkarni, V.V. and Safonov, M.G.},
  title = {{A}ll {M}ultipliers for {R}epeated {M}onotone {N}onlinearities},
  journal = {IEEE T. Automat. Contr.},
  year = {2002},
  volume = {47},
  number = {7},
  pages = {1209-1212},
  endnotereftype = {Journal Article},
  file = {KulSaf02.pdf::Djvu;KulSaf02.pdf:KulSaf02.pdf:PDF;KulSaf02.pdf:KulSaf02.pdf:PDF},
  shorttitle = {All Multipliers for Repeated Monotone Nonlinearities}
}

@Article{KulSaf02a,
  author         = {Kulkarni, V. V. and Safonov, M. G.},
  journal        = {IEEE T. Automat. Contr.},
  title          = {{I}ncremental positivity nonpreservation by stability multipliers},
  year           = {2002},
  issn           = {0018-9286},
  month          = {Jan},
  note           = {517WC Times Cited:8 Cited References Count:15},
  number         = {1},
  pages          = {173-177},
  volume         = {47},
  abstract       = {It is proved that stability multipliers such as Zames-Falb multipliers,
	Popov multipliers, and RL/RC multipliers, known to preserve positivity
	of monotone memoryless nonlinearities, do not, in general, preserve
	their incremental positivity. Our result implies that stability results
	based on these multipliers should be interpreted with caution since
	without incremental positivity the continuity of the closed-loop
	system's input-output relation may not be assured.},
  endnotereftype = {Journal Article},
  file           = {<Go to ISI>://000173632600022},
  groups         = {SchVee18},
  keywords       = {input-output integral quadratic constraint (iqc) non-linear stability popov multipliers positivity zames-falb},
  shorttitle     = {Incremental positivity nonpreservation by stability multipliers},
}

@BOOK{KumVar86,
  author = {Kumar, P.R. and Varaiya, P.},
  title = {{S}tochastic {S}ystems: {E}stimation, {I}ndentification, and {A}daptive
	{C}ontrol},
  year = {1986},
  publisher = {Prentice Hall},
  address = {Englewood Cliffs, New Jersey},
  endnotereftype = {Book},
  keywords = {stochastic},
  shorttitle = {Stochastic Systems: Estimation, Indentification, and Adaptive Control}
}

@ARTICLE{KwoByu89,
  author = {Kwon, W. H. and Byun, D.G.},
  title = {{R}eceding {H}orizon {T}racking {C}ontrol as a {P}redictive {C}ontrol
	and its {S}tability {P}roperties},
  journal = {International Journal of Control},
  year = {1989},
  volume = {50},
  pages = {1807-1824},
  endnotereftype = {Journal Article},
  shorttitle = {Receding Horizon Tracking Control as a Predictive Control and its
	Stability Properties}
}

@ARTICLE{Lag03,
  author = {Lagoa, C. M.},
  title = {{P}robabilistic enhancement of classical robustness margins: a class
	of nonsymmetric distributions},
  journal = {IEEE T. Automat. Contr.},
  year = {2003},
  volume = {48},
  number = {11},
  pages = {1990-1994},
  issn = {0018-9286},
  endnotereftype = {Journal Article},
  keywords = {Monte Carlo methods control system synthesis linear matrix inequalities
	risk analysis robust control statistical distributions uncertain
	systems Monte Carlo simulation classical robustness margins control
	system nonsymmetric distributions parametric uncertainty probabilistic
	enhancement risk assessment symmetric distributions uncertainty distribution
	uniformity principle},
  shorttitle = {Probabilistic enhancement of classical robustness margins: a class
	of nonsymmetric distributions}
}

@INPROCEEDINGS{LamBen94,
  author = {Lambrechts, P. and Terlouw, J.C. and Bennani, S. and Steinbuch, M.},
  editor = {Koch, I.},
  title = {{O}btaining {LFT} descriptions of state-space models with parametric
	uncertainties},
  booktitle = {Proc. IMACS Symposium on Mathematical Modelling MATHMOD},
  year = {1994},
  pages = {261-264},
  address = {VIENNA},
  endnotereftype = {Conference Proceedings},
  keywords = {lfr},
  shorttitle = {Obtaining LFT descriptions of state-space models with parametric uncertainties}
}

@BOOK{Lan87,
  title = {{M}oments in {M}athematics},
  year = {1987},
  editor = {Landau, H.J.},
  volume = {37},
  series = {Proceedings of symposia in applied mathematics},
  publisher = {American Mathematical Society},
  address = {Providence, Rhode Island},
  endnotereftype = {Edited Book},
  keywords = {moments},
  shorttitle = {Moments in Mathematics}
}

@ARTICLE{LanCha04,
  author = {Langbort, C. and Chandra, R.S. and D'Andrea, R.},
  title = {{D}istributed control design for systems interconnected over an arbitrary
	graph},
  journal = {IEEE T. Automat. Contr.},
  year = {2004},
  volume = {49},
  number = {9},
  pages = {1502-1519},
  issn = {0018-9286 VO - 49},
  abstract = {We consider the problem of synthesizing a distributed dynamic output
	feedback controller achieving H/sub /spl infin// performance for
	a system composed of different interconnected sub-units, when the
	topology of the underlying graph is arbitrary. First, using tools
	inspired by dissipativity theory, we derive sufficient conditions
	in the form of finite-dimensional linear matrix inequalities when
	the interconnections are assumed to be ideal. These inequalities
	are coupled in a way that reflects the spatial structure of the problem
	and can be exploited to design distributed synthesis algorithms.
	We then investigate the case of lossy interconnection links and derive
	similar results for systems whose interconnection relations can be
	captured by a class of integral quadratic constraints that includes
	constant delays.},
  endnotereftype = {Journal Article},
  file = {LanCha04.pdf:LanCha04.pdf:PDF;LanCha04.pdf:LanCha04.pdf:PDF},
  keywords = {distributed},
  shorttitle = {Distributed control design for systems interconnected over an arbitrary
	graph}
}

@ARTICLE{LanRod80,
  author = {Lancaster, P. and Rodman, L.},
  title = {{E}xistence and uniqueness theorems for the algebraic {Riccati} equation},
  journal = {International Journal of Control},
  year = {1980},
  pages = {285-309},
  endnotereftype = {Journal Article},
  shorttitle = {Existence and uniqueness theorems for the algebraic {Riccati} equation}
}

@ARTICLE{LarBon04,
  author = {Laroche, E. and Bonnassieux, Y. and Abou-Kandil, H. and Louis, J.-P.},
  title = {{C}ontroller design and robustness analysis for induction machine-based
	positioning system},
  journal = {Control Eng. Pract.},
  year = {2004},
  volume = {12},
  number = {6},
  month = {2004/6},
  pages = {757-767},
  endnotereftype = {Journal Article},
  file = {LarBon04.pdf::Djvu;LarBon04.pdf:LarBon04.pdf:PDF;LarBon04.pdf:LarBon04.pdf:PDF},
  keywords = {application},
  shorttitle = {Controller design and robustness analysis for induction machine-based
	positioning system}
}

@ARTICLE{Las01,
  author = {Lasserre, J. B.},
  title = {{G}lobal optimization with polynomials and the problem of moments},
  journal = {SIAM J. Optim.},
  year = {2001},
  volume = {11},
  number = {3},
  pages = {796-817},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/Las01.pdf:Djvu;Las01.pdf:Las01.pdf:PDF;Las01.pdf:Las01.pdf:PDF},
  keywords = {relaxation},
  shorttitle = {Global optimization with polynomials and the problem of moments}
}

@ARTICLE{Las02,
  author = {Lasserre, J. B.},
  title = {{SDP} versus {LP} relaxations for polynomial programming},
  journal = {Math. Oper. Res.},
  year = {2002},
  volume = {27},
  number = {2},
  pages = {347-360},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/Las02.ps:Djvu;Las02.pdf:Las02.pdf:PDF;Las02.ps:Las02.ps:PostScript;Las02.pdf:Las02.pdf:PDF},
  keywords = {relaxation},
  shorttitle = {{SDP} versus {LP} relaxations for polynomial programming}
}

@ARTICLE{Lasserre2002,
  author = {Lasserre, J. B.},
  title = {{A}n {E}xplicit {E}quivalent {P}ositive {S}emidefinite {P}rogram
	for {N}onlinear 0-1 {P}rograms},
  journal = {SIAM J. Optim.},
  year = {2002},
  volume = {12},
  number = {3},
  pages = {756-769},
  endnotereftype = {Journal Article},
  file = {Las02.pdf},
  keywords = {sos},
  shorttitle = {An Explicit Equivalent Positive Semidefinite Program for Nonlinear
	0-1 Programs}
}

@ARTICLE{Lau04,
  author = {Laurent, M.},
  title = {{R}evisiting two theorems of {C}urto and {F}ialkow on moment matrices},
  year = {2004},
  endnotereftype = {Journal Article},
  file = {Lau04.ps::Djvu;Lau04.pdf:Lau04.pdf:PDF;Lau04.ps:Lau04.ps:PostScript;Lau04.pdf:Lau04.pdf:PDF},
  shorttitle = {Revisiting two theorems of {C}urto and {F}ialkow on moment matrices}
}

@INPROCEEDINGS{LauFos97,
  author = {Lauvdal, T. and Fossen, T.I.},
  title = {{S}tabilization of linear unstable systems with control constraints},
  booktitle = {Proc. 37th IEEE Conf. Decision and Control},
  year = {1997},
  pages = {4504-4509},
  address = {San Diego, CA},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/LauFos97.pdf:Djvu;LauFos97.pdf:LauFos97.pdf:PDF;LauFos97.pdf:LauFos97.pdf:PDF},
  keywords = {constraints},
  shorttitle = {Stabilization of linear unstable systems with control constraints}
}

@UNPUBLISHED{LauRen02,
  author = {Laurent, M. and Rendl, F.},
  title = {{S}emidefinite programming and integer programming},
  year = {2002},
  endnotereftype = {Manuscript},
  file = {x:/Bibfiles/LauRen02.ps:Djvu;LauRen02.ps:LauRen02.ps:PostScript},
  keywords = {compartment},
  shorttitle = {Semidefinite programming and integer programming}
}

@ARTICLE{Lee67,
  author = {Lee, E.},
  title = {{L}inear optimal control problems with isoperimetric constraints},
  journal = {IEEE T. Automat. Contr.},
  year = {1967},
  volume = {12},
  number = {1},
  pages = {87-90},
  issn = {0018-9286},
  endnotereftype = {Journal Article},
  keywords = {Linear systems, time-varying continuous-time Optimal control},
  shorttitle = {Linear optimal control problems with isoperimetric constraints}
}

@ARTICLE{LeeDul07,
  author = {Lee, Ji-Woong and Dullerud, Geir E.},
  title = {{A} stability and contractiveness analysis of discrete-time {M}arkovian
	jump linear systems},
  journal = {Automatica},
  year = {2007},
  volume = {43},
  number = {1},
  pages = {168-173},
  issn = {0005-1098},
  endnotereftype = {Journal Article},
  file = {LeeDul07.pdf::Djvu;LeeDul07.pdf:LeeDul07.pdf:PDF;LeeDul07.pdf:LeeDul07.pdf:PDF},
  keywords = {Bounded real lemma Linear matrix inequality Markovian jump systems
	Positive systems},
  shorttitle = {A stability and contractiveness analysis of discrete-time Markovian
	jump linear systems}
}

@ARTICLE{LeeFla95,
  author = {Lee, F. C. and Flashner, H. and Safonov, M. G.},
  title = {{P}ositivity {E}mbedding for {N}oncolocated and {N}onsquare {F}lexible
	{S}ystems},
  journal = {Applied Mathematics and Computation},
  year = {1995},
  volume = {70},
  number = {2-3},
  month = {Jul},
  pages = {233-246},
  note = {Rc199 Times Cited:0 Cited References Count:19},
  issn = {0096-3003},
  abstract = {Positivity based control design for flexible structures provides closed-loop
	stability regardless of parameter variations and unmodeled dynamics.
	The present framework requires the plant to be square and the actuators
	colocated with rate sensors. These constraints severely limit achievable
	performance in control systems using the positivity approach. In
	this paper, a dynamic embedding is derived to render a nonsquare
	plant with noncolocated actuators and sensors positive real. The
	dynamic embedding is parametrized for general flexible structures.
	A numerical algorithm is developed to compute the embedding parameters.
	The Draper tetrahedral truss structure is used to demonstrate the
	design of dynamic embeddings. Relaxing the colocation constraint
	in a positivity based design significantly improves the closed-loop
	performance.},
  endnotereftype = {Journal Article},
  file = {<Go to ISI>://A1995RC19900011},
  shorttitle = {Positivity Embedding for Noncolocated and Nonsquare Flexible Systems}
}

@ARTICLE{LeeKha03,
  author = {Lee, J. W. and Khargonekar, P. P.},
  title = {{A} convex optimization-based nonlinear filtering algorithm with
	applications to real-time sensing for patterned wafers},
  journal = {IEEE T. Automat. Contr.},
  year = {2003},
  volume = {48},
  number = {2},
  pages = {224-235},
  issn = {0018-9286},
  endnotereftype = {Journal Article},
  keywords = {filtering theory nonlinear filters optimisation parameter estimation
	photoresists process control redundancy reflectometry sputter etching
	state estimation bounded error convex optimization-based nonlinear
	filtering algorithm high-complexity observations optical observation
	patterned wafers plasma etching process reactive ion etching real-time
	estimation real-time sensing spectroscopic reflectometry unknown
	dynamics},
  shorttitle = {A convex optimization-based nonlinear filtering algorithm with applications
	to real-time sensing for patterned wafers}
}

@INPROCEEDINGS{LeePoo96,
  author = {Lee, L.H. and Poolla, K.},
  title = {{I}dentification of {L}inear {P}arameter-{V}arying {S}ystems via
	{LFT}s},
  booktitle = {Proc. 35th IEEE Conf. Decision and Control},
  year = {1996},
  pages = {1545-1550},
  endnotereftype = {Conference Proceedings},
  file = {LeePoo96.pdf::Djvu;LeePoo96.pdf:LeePoo96.pdf:PDF;LeePoo96.pdf:LeePoo96.pdf:PDF},
  shorttitle = {Identification of Linear Parameter-Varying Systems via {LFT}s}
}

@ARTICLE{LeeYu97,
  author = {Lee, J.H. and Yu, Z.},
  title = {{W}orst-{C}ase {F}ormulations of {M}odel {P}redictive {C}ontrol for
	{S}ystems with {B}ounded {P}arameters},
  journal = {Automatica},
  year = {1997},
  volume = {33},
  pages = {763-781},
  endnotereftype = {Journal Article},
  shorttitle = {Worst-Case Formulations of Model Predictive Control for Systems with
	Bounded Parameters}
}

@ARTICLE{LeiMos02,
  author = {Leibfritz, F. and Mostafa, E.M.E.},
  title = {{A}n {I}nterior {P}oint {C}onstrained {T}rust {R}egion {M}ethod for
	a {S}pecial {C}lass of {N}onlinear {S}emidefinite {P}rogramming {P}roblems},
  journal = {SIAM J. Optim.},
  year = {2002},
  volume = {2002},
  number = {4},
  pages = {1048-1074},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/LeiMos02.pdf:Djvu;LeiMos02.pdf:LeiMos02.pdf:PDF;LeiMos02.pdf:LeiMos02.pdf:PDF},
  keywords = {sdp},
  shorttitle = {An Interior Point Constrained Trust Region Method for a Special Class
	of Nonlinear Semidefinite Programming Problems}
}

@ARTICLE{LeSaf92,
  author = {Le, V. X. and Safonov, M. G.},
  title = {{R}ational {M}atrix {G}cds and the {D}esign of {S}quaring-down {C}ompensators
	- a {S}tate-{S}pace {T}heory},
  journal = {IEEE T. Automat. Contr.},
  year = {1992},
  volume = {37},
  number = {3},
  month = {Mar},
  pages = {384-392},
  note = {He802 Times Cited:13 Cited References Count:41},
  issn = {0018-9286},
  abstract = {A state-space construction for rational matrix greatest common divisors
	(GCD's) of rational transfer matrices is given. Also, it is shown
	how the GCD results can be used to solve the problem of designing
	stable minimum-phase squaring-down compensators for multivariable
	plants. One application is a direct state-space construction for
	such compensators and a state-space solution to "fat-plant" H-infinity
	control problems. The results make use of the concepts of strongly
	observable systems and maximally unobservable systems initiated in
	the respective works of Silverman and of Wonham and build upon the
	concepts introduced in the state-space GCD extraction results for
	polynomial matrices of Silverman and Van Dooren.},
  endnotereftype = {Journal Article},
  file = {<Go to ISI>://A1992HE80200016},
  keywords = {multivariable feedback-systems linear-systems controllers},
  shorttitle = {Rational Matrix Gcds and the Design of Squaring-down Compensators
	- a State-Space Theory}
}

@InProceedings{LesLal12,
  author         = {Lessard, L. and Lall, S.},
  title          = {{O}ptimal controller synthesis for the decentralized two-player problem with output feedback},
  booktitle      = acc,
  year           = {2012},
  month          = {2012},
  endnotereftype = {Generic},
  file           = {LesLal12.pdf:LesLal12.pdf:PDF;LesLal12.pdf:LesLal12.pdf:PDF},
  groups         = {distributed},
  keywords       = {distributed control},
  shorttitle     = {Optimal Controller Synthesis for the Decentralized Two-Player Problem with Output Feedback},
}

@Article{LesLal13,
  author         = {Lessard, L. and Lall, S.},
  title          = {{O}ptimal control of two-player systems with output feedback},
  journal        = tac #{, to appear},
  year           = {2013},
  endnotereftype = {Journal Article},
  file           = {LesLal13.pdf:LesLal13.pdf:PDF;LesLal13.pdf:LesLal13.pdf:PDF},
  groups         = {distributed},
  journaltitle   = tac,
  keywords       = {distributed control},
  shorttitle     = {Optimal Control of Two-Player Systems with Output Feedback},
}

@INPROCEEDINGS{Lib02,
  author = {Liberzon, M.R.},
  title = {{A}bsolute {S}tability of {D}ynamical {S}ystems ({S}urvey)},
  booktitle = {15th {IFAC} World Congres},
  year = {2002},
  publisher = {Elsevier},
  address = {Barcelona},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/Lib02.pdf:Djvu;Lib02.pdf:Lib02.pdf:PDF;Lib02.pdf:Lib02.pdf:PDF},
  keywords = {absolute stability},
  shorttitle = {Absolute Stability of Dynamical Systems (Survey)}
}

@ARTICLE{LiFu97,
  author = {Li, H. and Fu, M.},
  title = {{A} linear matrix inequality approach to robust ${H}_\infty$ filtering},
  journal = {IEEE Trans. Signal Processing},
  year = {1997},
  volume = {45},
  number = {9},
  pages = {2338-2350},
  endnotereftype = {Journal Article},
  file = {LiFu97.pdf::Djvu;LiFu97.pdf:LiFu97.pdf:PDF;LiFu97.pdf:LiFu97.pdf:PDF},
  keywords = {filtering robust},
  shorttitle = {A linear matrix inequality approach to robust ${H}_\infty$ filtering}
}

@INPROCEEDINGS{LijKem02,
  author = {Lijuan, Li and Kemin, Zhou},
  title = {{A}n approximation approach to decentralized {H}<sub>/\&infin;</sub>
	control},
  booktitle = {Intelligent Control and Automation, 2002. Proceedings of the 4th
	World Congress on},
  year = {2002},
  volume = {1},
  month = {2002},
  pages = {626-630 vol.1},
  endnotereftype = {Conference Proceedings},
  keywords = {approximation theory closed loop systems control system synthesis
	decentralised control optimisation H<sup>&infin </sup> control closed-loop
	system convex optimization decentralized control fixed structured
	control model approximation parameterizations H<sub>&infin </sub>
	control},
  shorttitle = {An approximation approach to decentralized H<sub>&infin;</sub> control}
}

@INPROCEEDINGS{LilLih03,
  author = {Lilei, Lu and Lihua, Xie and Minyue, Fu},
  title = {{O}ptimal control of networked systems with limited communication:
	a combined heuristic and convex optimization approach},
  booktitle = {Decision and Control, 2003. Proceedings. 42nd IEEE Conference on},
  year = {2003},
  volume = {2},
  month = {9-12 Dec. 2003},
  isbn = {0191-2216},
  pages = {1194-1199 Vol.2},
  endnotereftype = {Conference Proceedings},
  keywords = {control system synthesis convex programming distributed control linear
	matrix inequalities H<sup>&infin </sup> control LMI design method
	convex optimization approach heuristic optimization approach limited
	communication constraint optimal control H<sub>&infin </sub> control
	problem},
  shorttitle = {Optimal control of networked systems with limited communication: a
	combined heuristic and convex optimization approach}
}

@ARTICLE{LimAnd92,
  author = {Limebeer, D. and Anderson, B. and Khargonekar, P. and Green, D. N.},
  title = {{A} {G}ame {T}heoretic {A}pproach to $/mathcal{H}^\infty$ {C}ontrol
	for {T}ime-{V}arying {S}ystems},
  journal = {SIAM J. Contr. Optim.},
  year = {1992},
  volume = {30},
  number = {2},
  pages = {262-283},
  endnotereftype = {Journal Article},
  file = {LimAnd92.pdf:LimAnd92.pdf:PDF;LimAnd92.pdf:LimAnd92.pdf:PDF},
  shorttitle = {A Game Theoretic Approach to $/mathcal{{H}}^\infty$ Control for Time-Varying
	Systems}
}

@INCOLLECTION{LimHow97,
  author = {Lim, S. and How, J.P.},
  title = {{A}nalysis of {LPV} {S}ystems {U}sing a {P}iecewise {A}ffine {P}arameter-{D}ependent
	{L}yapunov {F}unction},
  booktitle = {Proc. 35th IEEE Conf. Decision and Control},
  year = {1997},
  pages = {978-983},
  address = {Kobe, Japan},
  endnotereftype = {Book Section},
  shorttitle = {Analysis of {LPV} Systems Using a Piecewise Affine Parameter-Dependent
	Lyapunov Function}
}

@ARTICLE{Lin99,
  author = {Linnemann, A.},
  title = {{C}onvergent {R}itz {A}pproximations of the {S}et of {S}tabilizing
	{C}ontrollers},
  journal = {Syst. Control Lett.},
  year = {1999},
  volume = {36},
  pages = {151-156},
  endnotereftype = {Journal Article},
  shorttitle = {Convergent Ritz Approximations of the Set of Stabilizing Controllers}
}

@ARTICLE{LinSab95,
  author = {Lin, Z. and Saberi, A. and Teel, A.R.},
  title = {{S}imultaneous ${L}_p$-stabiliization and internal stabilization
	of linear systems subject to input saturation - state feedback case},
  journal = {Syst. Control Lett.},
  year = {1995},
  volume = {25},
  pages = {219-226},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/LinSab95.pdf:Djvu;LinSab95.pdf:LinSab95.pdf:PDF;LinSab95.pdf:LinSab95.pdf:PDF},
  shorttitle = {Simultaneous ${L}_p$-stabiliization and internal stabilization of
	linear systems subject to input saturation - state feedback case}
}

@INPROCEEDINGS{LiuHir97,
  author = {Liu, K. Z. and Hirata, M. and Sato, T.},
  title = {{A}ll solutions to the ${H}_\infty$-control synthesis problem with
	unstable weights},
  booktitle = {Proceedings of the 36th IEEE Conference on Decision and Control},
  year = {1997},
  volume = {5},
  month = {10-12 Dec 1997},
  pages = {4641-4646 vol.5},
  endnotereftype = {Conference Proceedings},
  file = {LiuHir97.pdf::Djvu;LiuHir97.pdf:LiuHir97.pdf:PDF;LiuHir97.pdf:LiuHir97.pdf:PDF},
  keywords = {closed loop systems control system synthesis feedback feedforward
	matrix algebra servomechanisms stability H<sup>&infin </sup> control
	algebraic problem comprehensively stable systems estimation problems
	linear matrix equations linear matrix inequality servo system synthesis
	problems unstable weights <font face="helvetica"><i>H</i></font><sub>&infin
	</sub> control synthesis problem},
  shorttitle = {All solutions to the ${H}_\infty$-control synthesis problem with unstable
	weights}
}

@INPROCEEDINGS{LiuMit92,
  author = {Liu, K.Z. and Mita, T.},
  title = {{G}eneralized {${/cal H}_\infty$} control},
  booktitle = {Proc. Amer. Contr. Conf.},
  year = {1992},
  pages = {2245-2249},
  address = {Chicago, Illinois},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Generalized {${/cal H}_\infty$} control}
}

@ARTICLE{LiuZha97,
  author = {Liu, K. Z. and Zhang, H. and Mita, T.},
  title = {{S}olution to nonsingular {H}-2 optimal control problem with unstable
	weights},
  journal = {Syst. Contr. Letters},
  year = {1997},
  volume = {32},
  number = {1},
  month = {Oct 26},
  pages = {1-10},
  note = {Yc464 Times Cited:14 Cited References Count:8},
  issn = {0167-6911},
  abstract = {In this paper, we propose an approach that treats the synthesis of
	servo systems as well as the estimation of unstable plants as H-2
	control problems with unstable weights. This approach is based on
	the notion of comprehensive stability and the parameterization of
	comprehensively stabilizing controllers. The complete result for
	the nonsingular case is obtained. This provides an H-2 optimal synthesis
	method for general linear servo problems and estimation problems
	of unstable plants. (C) 1997 Elsevier Science B.V.},
  endnotereftype = {Journal Article},
  file = {<Go to ISI>://A1997YC46400001},
  keywords = {h-2 synthesis unstable weight comprehensive stability servo system
	estimation riccati equation quasi-stabilizing solution constraints},
  shorttitle = {Solution to nonsingular H-2 optimal control problem with unstable
	weights}
}

@INPROCEEDINGS{LiWan99,
  author = {Li, J. and Wang, H.O. and Niemann, D. and Tanaka, K.},
  title = {{S}ynthesis of gain-scheduled controller for a class of {LPV}-systems},
  booktitle = {Proc. 38th IEEE Conf. Decision and Control},
  year = {1999},
  pages = {2314-2319},
  address = {Phoenix, Arizona},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/LiWan99.pdf:Djvu;LiWan99.pdf:LiWan99.pdf:PDF;LiWan99.pdf:LiWan99.pdf:PDF},
  keywords = {lpv},
  shorttitle = {Synthesis of gain-scheduled controller for a class of {LPV}-systems}
}

@BOOK{LMIsiam,
  title = {{A}dvances in {L}inear {M}atrix {I}nequality {M}ethods in {C}ontrol},
  year = {2000},
  editor = {{El~Ghaoui}, L. and Niculescu, S.I.},
  publisher = {SIAM},
  address = {Philadelphia},
  endnotereftype = {Edited Book},
  shorttitle = {Advances in Linear Matrix Inequality Methods in Control}
}

@ARTICLE{LoeSan96,
  author = {de Loera, J.A. and Santos, F.},
  title = {{A}n effective version of {P}/'{o}lya's theorem on positive definite
	forms},
  journal = {J. Pure Appl. Algebra},
  year = {1996},
  volume = {108},
  number = {3},
  pages = {219-230},
  endnotereftype = {Journal Article},
  file = {LoeSan96.pdf:LoeSan96.pdf:PDF;LoeSan96.pdf:LoeSan96.pdf:PDF},
  keywords = {sos},
  shorttitle = {An effective version of {P}/'{o}lya's theorem on positive definite
	forms}
}

@INPROCEEDINGS{LofPar04,
  author = {Lofberg, J. and Parrilo, P.A.},
  title = {{F}rom coefficients to samples: a new approach to {SOS} optimization},
  booktitle = {Proc. 43rd IEEE Conf. Decision and Control},
  year = {2004},
  volume = {3},
  note = {TY - CONF},
  isbn = {0191-2216},
  pages = {3154-3159},
  endnotereftype = {Conference Proceedings},
  file = {LofPar04.pdf::Djvu;LofPar04.pdf:LofPar04.pdf:PDF;LofPar04.pdf:LofPar04.pdf:PDF},
  shorttitle = {From coefficients to samples: a new approach to SOS optimization}
}

@INPROCEEDINGS{Loi85,
  author = {Loiseau, J.J.},
  title = {{S}ome geometric considerations about the {K}ronecker normal form},
  booktitle = {International Journal of Control},
  year = {1985},
  pages = {1411-1431},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Some geometric considerations about the Kronecker normal form}
}

@INCOLLECTION{LooBen97,
  author = {Bennani, S. and Looye, G.-J. and Scherer, C.W.},
  editor = {J.F. Magni, S. Bennani, and J. Terlouw},
  title = {$/mu$-synthesis},
  booktitle = {Robust Flight Control, A Design Challenge},
  year = {1997},
  publisher = {Springer-Verlag},
  pages = {81-101},
  address = {Berlin},
  endnotereftype = {Book Section},
  shorttitle = {$/mu$-synthesis}
}

@ARTICLE{LuArk00,
  author = {Lu, Y. and Arkun, Y.},
  title = {{Q}uasi-{M}in-{M}ax {MPC} algorithms for {LPV} systems},
  journal = {Automatica},
  year = {2000},
  volume = {36},
  number = {4},
  month = {2000},
  pages = {527-540},
  note = {mpc},
  endnotereftype = {Journal Article},
  file = {LuArk00.pdf::Djvu;LuArk00.pdf:LuArk00.pdf:PDF;LuArk00.pdf:LuArk00.pdf:PDF},
  shorttitle = {Quasi-Min-Max {MPC} algorithms for {LPV} systems}
}

@ARTICLE{Lub07,
  author = {Lubinsky, D},
  title = {{A} survey of weighted polynomial approximation with exponential
	weights},
  journal = {Surveys in Approximation Theory},
  year = {2007},
  volume = {3},
  pages = {1-105},
  endnotereftype = {Journal Article},
  file = {Lub07.pdf::Djvu;Lub07.pdf:Lub07.pdf:PDF;Lub07.pdf:Lub07.pdf:PDF},
  shorttitle = {A survey of weighted polynomial approximation with exponential weights}
}

@ARTICLE{LuDoy93,
  author = {Lu, W.M and Doyle, J.C.},
  title = {{${/cal H}_\infty$} control of nonlinear {S}ytems: {A} convex characterizaton},
  journal = {IEEE T. Automat. Contr.},
  year = {1993},
  endnotereftype = {Journal Article},
  shorttitle = {{${/cal H}_\infty$} control of nonlinear Sytems: A convex characterizaton}
}

@BOOK{Lue69,
  author = {Luenberger, D.G.},
  title = {{O}ptimization by {V}ector {S}pace {M}ethods},
  year = {1969},
  publisher = {John Wiley /\& Sons},
  endnotereftype = {Book},
  shorttitle = {Optimization by Vector Space Methods}
}

@ARTICLE{LuSke99,
  author = {Lu, J.B. and Skelton, R.E.},
  title = {{I}ntegrating {I}nstrumentation and {C}ontrol {D}esign},
  journal = {International Journal of Control},
  year = {1999},
  volume = {72},
  pages = {799-814},
  endnotereftype = {Journal Article},
  shorttitle = {Integrating Instrumentation and Control Design}
}

@ARTICLE{LyChi98,
  author = {Ly, J. H. and Chiang, R. Y. and Goh, K. C. and Safonov, M. G.},
  title = {{LMI} multiplier {K}-m/mu-analysis of the {C}assini spacecraft},
  journal = {International Journal of Robust and Nonlinear Control},
  year = {1998},
  volume = {8},
  number = {2},
  month = {Feb},
  pages = {155-168},
  note = {Yw945 Times Cited:5 Cited References Count:41},
  issn = {1049-8923},
  abstract = {A robustness analysis for the Cassini spacecraft z-axis thrust vector
	control system is performed using the real/complex K-m/mu-analysis
	theory. The analysis is done using the linear matrix inequality (LMI)
	technique for finding optimal fixed-order multipliers. The utilization
	of the LMI fixed-order multiplier optimization theory for K-m/mu-synthesis
	is also discussed. (C) 1998 John Wiley & Sons, Ltd.},
  endnotereftype = {Journal Article},
  file = {<Go to ISI>://000071990500005},
  keywords = {robust control lmi multivariable stability margin spacecraft control
	multiplier stability margin},
  shorttitle = {LMI multiplier K-m/mu-analysis of the Cassini spacecraft}
}

@INPROCEEDINGS{LySaf94,
  author = {Ly, J.H. and Safonov, M.G. and Chiang, R.Y.},
  title = {{R}eal/complex multivariable stability margin computation via generalized
	{P}opov multiplier - {LMI} approach},
  booktitle = {Proc. Amer. Contr. Conf.},
  year = {1994},
  pages = {35-39},
  address = {Baltimore, Maryland},
  comment = {1994},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Real/complex multivariable stability margin computation via generalized
	{P}opov multiplier - {LMI} approach}
}

@ARTICLE{M.05,
  author = {M. Dinh, G. Scorletti, V. Fromion, E. Magarotto,},
  title = {{P}arameter dependent <{I}>{H}</{I}><{SUB}><{FONT} {SIZE}='-1'>?</{FONT}></{SUB}>
	control by finite dimensional {LMI} optimization: application to
	trade-off dependent control},
  journal = {International Journal of Robust and Nonlinear Control},
  year = {2005},
  volume = {15},
  number = {9},
  pages = {383-406},
  issn = {1099-1239},
  endnotereftype = {Journal Article},
  file = {http://dx.doi.org/10.1002/rnc.994},
  shorttitle = {Parameter dependent <I>H</I><SUB><FONT SIZE='-1'>?</FONT></SUB> control
	by finite dimensional LMI optimization: application to trade-off
	dependent control}
}

@BOOK{Mac89,
  author = {Maciejowski, J.M.},
  title = {{M}ultivariable {F}eedback {D}esign},
  year = {1989},
  publisher = {Addison-Wesley},
  address = {Wokingham, England},
  endnotereftype = {Book},
  shorttitle = {Multivariable Feedback Design}
}

@INPROCEEDINGS{MagGor98,
  author = {Magni, J. F. and Le~{G}orrec, Y. and Chiappa, C.},
  title = {{A} multimodel-based approach to robust self-scheduled control design},
  booktitle = {Proc. 37th IEEE Conf. Decision and Control},
  year = {1998},
  pages = {3009-3014},
  address = {Tampa, FL},
  endnotereftype = {Conference Proceedings},
  file = {MagGor98.pdf::Djvu;MagGor98.pdf:MagGor98.pdf:PDF;MagGor98.pdf:MagGor98.pdf:PDF},
  keywords = {gain-scheduling},
  shorttitle = {A multimodel-based approach to robust self-scheduled control design}
}

@INPROCEEDINGS{Magretski1994,
  author = {Magretski, A.},
  title = {{S}ynthesis of robust controllers for systems with integral and quadratic
	constraints},
  booktitle = {Proc. 33rd IEEE Conf. Decision and Control},
  year = {1994},
  pages = {3092 -3097},
  address = {Lake Buena Vista, FL},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/Meg94.pdf},
  keywords = {iqc},
  shorttitle = {Synthesis of robust controllers for systems with integral and quadratic
	constraints}
}

@INPROCEEDINGS{Mal82,
  author = {Malabre, M.},
  title = {{A}lmost invariant subspaces, transmission zeros and infinite zeros:
	a lattice interpretation},
  booktitle = {Syst. Control Lett.},
  year = {1982},
  pages = {347-355},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Almost invariant subspaces, transmission zeros and infinite zeros:
	a lattice interpretation}
}

@BOOK{Mal87,
  author = {Malanowski, K.},
  title = {{S}tability of solutions to convex problems of optimization},
  year = {1987},
  series = {Lecture notes in control and information sciences 93},
  publisher = {Springer-Verlag},
  isbn = {3-540-17589-X},
  address = {Berlin},
  endnotereftype = {Book},
  keywords = {optimization},
  shorttitle = {Stability of solutions to convex problems of optimization}
}

@ARTICLE{ManSaf05,
  author = {Mancera, R. and Safonov, M.G.},
  title = {{A}ll {S}tability {M}ultipliers for {R}epeated {MIMO} {N}onlinearities},
  journal = {Syst. Contr. Letters},
  year = {2005},
  volume = {54},
  pages = {389-397},
  endnotereftype = {Journal Article},
  file = {ManSaf05.pdf:ManSaf05.pdf:PDF;ManSaf05.pdf:ManSaf05.pdf:PDF},
  shorttitle = {All Stability Multipliers for Repeated {MIMO} Nonlinearities}
}

@INPROCEEDINGS{Mas06,
  author = {Masubuchi, I.},
  editor = {Yamamoto, Yutaka},
  title = {{C}haracterizing positively invariant sets by density functions},
  booktitle = {MTNS 2006},
  year = {2006},
  address = {Kyoto, Japan},
  endnotereftype = {Conference Proceedings},
  file = {Mas06.pdf::Djvu;Mas06.pdf:Mas06.pdf:PDF;Mas06.pdf:Mas06.pdf:PDF},
  keywords = {invariance},
  shorttitle = {Characterizing positively invariant sets by density functions}
}

@ARTICLE{MasKam97,
  author = {Masubuchi, I. and Kmitane, Y. and Ohara, A. and Suda, N.},
  title = {${H}_\infty$ control for descriptor systmes: a matrix inequality
	approach},
  journal = {Automatica},
  year = {1997},
  volume = {33},
  number = {4},
  pages = {669-673},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/MasKam97.pdf:Djvu;MasKam97.pdf:MasKam97.pdf:PDF;MasKam97.pdf:MasKam97.pdf:PDF},
  keywords = {descriptor},
  shorttitle = {${H}_\infty$ control for descriptor systmes: a matrix inequality approach}
}

@INPROCEEDINGS{MasOha96,
  author = {Masubuchi, I. and Ohara, A. and Suda, N.},
  title = {{R}obust multi-objective controller design via convex optimization},
  booktitle = {Proc. 35th IEEE Conf. Decision and Control},
  year = {1996},
  pages = {263-264},
  address = {Kobe, Japan},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Robust multi-objective controller design via convex optimization}
}

@ARTICLE{MasOha98,
  author = {Masubuchi, I. and Ohara, A. and Suda, N.},
  title = {{LMI}-based controller synthesis: a unified formulation and solution},
  journal = {Int. J. Robust Nonlin.},
  year = {1998},
  volume = {8},
  pages = {669-686},
  endnotereftype = {Journal Article},
  shorttitle = {{LMI}-based controller synthesis: a unified formulation and solution}
}

@ARTICLE{Mat98,
  author = {Matveev, A.S.},
  title = {{S}pectral approach to duality in nonconvex global optimization},
  journal = {SIAM J. Contr. Optim.},
  year = {1998},
  volume = {36},
  number = {1},
  pages = {336-378},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/Mat98.ps:Djvu;Mat98.ps:Mat98.ps:PostScript},
  keywords = {optimization},
  shorttitle = {Spectral approach to duality in nonconvex global optimization}
}

@INPROCEEDINGS{MazJai06,
  author = {Mazars, E. and Jaimoukha, I.M. and Li, Z.},
  editor = {Yamamoto, Yutaka},
  title = {{A}n {LMI} approach to robust fault detection and isolation problem},
  booktitle = {MTNS 2006},
  year = {2006},
  address = {Kyoto, Japan},
  endnotereftype = {Conference Proceedings},
  file = {MazJai06.pdf::Djvu;MazJai06.pdf:MazJai06.pdf:PDF;MazJai06.pdf:MazJai06.pdf:PDF},
  keywords = {fault detection fault isolation},
  shorttitle = {An {LMI} approach to robust fault detection and isolation problem}
}

@ARTICLE{McDPea91,
  author = {McDonald, J.S. and Pearson, J.B.},
  title = {{$l_1$} {O}ptimal {C}ontrol of {M}ultivariable {S}ystems with {O}utput
	{N}orm {C}onstraints},
  journal = {Automatica},
  year = {1991},
  volume = {27},
  endnotereftype = {Journal Article},
  shorttitle = {{$l_1$} Optimal Control of Multivariable Systems with Output Norm
	Constraints}
}

@ARTICLE{McfGlo90,
  author = {McFarlane, D. and Glover, K. and Vidyasagar, M.},
  title = {{R}educed-order controller design using coprime factor model reduction},
  journal = {IEEE T. Automat. Contr.},
  year = {1990},
  volume = {35},
  number = {3},
  pages = {369-373},
  note = {TY - JOUR},
  issn = {0018-9286},
  abstract = {Two procedures for reduced-order controller design that incorporate
	coprime factor model reduction techniques and a related robust stabilization
	problem are proposed. It is shown that robust stability can be achieved
	with these controllers. The results obtained show how to reduce the
	controller degree systematically. They clearly indicate how the maximum
	stability margin influences allowable model reduction error},
  endnotereftype = {Journal Article},
  file = {McfGlo90.pdf},
  keywords = {stability model reduction},
  shorttitle = {Reduced-order controller design using coprime factor model reduction}
}

@ARTICLE{McfGlo92,
  author = {McFarlane, D. and Glover, K.},
  title = {{A} loop-shaping design procedure using ${H}_\infty$-synthesis},
  journal = {IEEE T. Automat. Contr.},
  year = {1992},
  volume = {37},
  number = {6},
  pages = {759-769},
  note = {TY - JOUR},
  issn = {0018-9286},
  abstract = {A design procedure is introduced which incorporates loop shaping methods
	to obtain performance/robust stability tradeoffs, and a particular
	<e1>H</e1><sub>&infin;</sub> optimization problem to guarantee closed-loop
	stability and a level of robust stability at all frequencies. Theoretical
	justification of this technique is given, and the effect of loop
	shaping on closed-loop behavior is examined. The procedure is illustrated
	in a controller design for a flexible space platform},
  endnotereftype = {Journal Article},
  file = {McfGlo92.pdf:McfGlo92.pdf:PDF},
  keywords = {loop-shaping design procedure robust stability},
  shorttitle = {A loop-shaping design procedure using ${H}_\infty$-synthesis}
}

@ARTICLE{McKKAk96,
  author = {McKelvey, T. and KAkcay, H. and Ljung, L.},
  title = {{S}ubspace-bsed multivariable system identification from frequency
	response data},
  journal = {IEEE T. Automat. Contr.},
  year = {1996},
  volume = {4},
  number = {7},
  pages = {960-979},
  endnotereftype = {Journal Article},
  shorttitle = {Subspace-bsed multivariable system identification from frequency response
	data}
}

@Article{Meg01,
  author         = {Megretski, A.},
  journal        = {International Journal of Robust and Nonlinear Control},
  title          = {{N}ew {IQC} for quasi-concave nonlinearities},
  year           = {2001},
  month          = {2001///},
  note           = {TY - JOUR Cited By (since 1996): 1 Export Date: 15 October 2007 Source: Scopus},
  number         = {7},
  pages          = {603-620},
  volume         = {11},
  endnotereftype = {Journal Article},
  file           = {Meg01.pdf:Meg01.pdf:PDF;Meg01.pdf:Meg01.pdf:PDF},
  groups         = {SchVee18},
  keywords       = {iqc},
  shorttitle     = {New IQC for quasi-concave nonlinearities},
}

@Article{Meg01a,
  author         = {Megretski, A.},
  journal        = {Int. J. Robust Nonlin.},
  title          = {{N}ew {IQC} for quasi-concave nonlinearities},
  year           = {2001},
  number         = {7},
  pages          = {603-620},
  volume         = {11},
  endnotereftype = {Journal Article},
  file           = {Meg01.pdf:..\\03_papers\\Meg01.pdf:PDF},
  groups         = {used, Fetzer, SchVee18},
  keywords       = {iqc},
  shorttitle     = {New IQC for quasi-concave nonlinearities},
}

@Article{Meg93,
  author         = {Megretski, A.},
  journal        = {IEEE T. Automat. Contr.},
  title          = {{N}ecessary and sufficient conditions of stability: a multiloop generalization of the circle criterion},
  year           = {1993},
  number         = {5},
  pages          = {753 - 756},
  volume         = {38},
  endnotereftype = {Journal Article},
  file           = {Meg93.pdf:Meg93.pdf:PDF},
  keywords       = {robust},
  shorttitle     = {Necessary and sufficient conditions of stability: a multiloop generalization of the circle criterion},
}

@INPROCEEDINGS{Meg94,
  author = {Alexandre Megretski},
  title = {{O}n the order of optimal controllers in the mixed {H}-2/{H}-infinity
	control},
  booktitle = {Proc. 33rd IEEE Conf. Decision and Control},
  year = {1994},
  pages = {3173-3174},
  address = {Orlando, FL},
  endnotereftype = {Conference Proceedings},
  file = {Meg94.pdf:Meg94.pdf:PDF;Meg94.pdf:Meg94.pdf:PDF},
  shorttitle = {On the order of optimal controllers in the mixed {$H^2/H^\infty$}
	control}
}

@INPROCEEDINGS{Meg96,
  author = {Megretski, A.},
  title = {${L}_2$ {BIBO} output feedback stabilization with saturated control},
  booktitle = {13th {IFAC} World Congres},
  year = {1996},
  volume = {2a-18.2},
  pages = {435-440},
  address = {San Francisco, CA},
  endnotereftype = {Conference Proceedings},
  file = {Meg96.pdf::Djvu;Meg96.pdf:Meg96.pdf:PDF;Meg96.pdf:People\\Meg96.pdf:PDF;Meg96.pdf:Meg96.pdf:PDF},
  keywords = {constraints saturation},
  shorttitle = {$L_2$ {BIBO} output feedback stabilization with saturated control}
}

@INPROCEEDINGS{Meg96a,
  author = {Megretski, Alexandre},
  title = {{I}ntegral quadratic constraints derived from the set-theoretic analysis
	of difference inclusions},
  booktitle = {Proceedings of the IEEE Conference on Decision and Control},
  year = {1996},
  volume = {3},
  note = {TY - CONF Export Date: 15 October 2007 Source: Scopus},
  month = {1996///},
  pages = {2355-3592},
  endnotereftype = {Conference Proceedings},
  file = {http://www.scopus.com/scopus/inward/record.file?eid=2-s2.0-0030411610&partnerID=40&rel=R6.5.0},
  shorttitle = {Integral quadratic constraints derived from the set-theoretic analysis
	of difference inclusions}
}

@Article{MegRan97,
  author         = {Megretski, A. and Rantzer, A.},
  journal        = {IEEE T. Automat. Contr.},
  title          = {{S}ystem analysis via {I}ntegral {Q}uadratic {C}onstraints},
  year           = {1997},
  pages          = {819-830},
  volume         = {42},
  endnotereftype = {Journal Article},
  file           = {MegRan97.pdf:MegRan97.pdf:PDF;MegRan97.pdf:MegRan97.pdf:PDF},
  groups         = {SchVee18},
  keywords       = {iqc},
  shorttitle     = {System analysis via Integral Quadratic Constraints},
}

@ARTICLE{MegTre93,
  author = {Megretsky, A. and Treil, S.},
  title = {{P}ower distribution inequalities in optimization and robustness
	of uncertain systems},
  journal = {J. Math. Syst. Est. Control},
  year = {1993},
  volume = {3},
  pages = {301-319},
  endnotereftype = {Journal Article},
  shorttitle = {Power distribution inequalities in optimization and robustness of
	uncertain systems}
}

@INPROCEEDINGS{MehGri03,
  author = {Mehendale, C. S. and Grigoriadis, K. M.},
  title = {{A} homotopy method for decentralized control design},
  booktitle = {Proc. American Control Conf.},
  year = {2003},
  volume = {6},
  month = {4-6 June 2003},
  isbn = {0743-1619},
  pages = {5023-5027 vol.6},
  endnotereftype = {Conference Proceedings},
  keywords = {control system synthesis decentralised control iterative methods pendulums
	H<sup>&infin </sup> control bilinear matrix inequality decentralized
	control design doubly inverted pendulum full order output feedback
	controller homotopy method iterative algorithm decentralized H<sub>&infin
	</sub> controller},
  shorttitle = {A homotopy method for decentralized control design}
}

@PHDTHESIS{Mei93,
  author = {Meinsma, G.},
  title = {{F}requency {D}omain {M}ethods in ${/cal H}_\infty$ {C}ontrol},
  year = {1993},
  type = {Ph.D.},
  address = {Twente},
  endnotereftype = {Thesis},
  keywords = {polynomials},
  school = {Twente University},
  shorttitle = {Frequency Domain Methods in ${/cal {H}}_\infty$ Control}
}

@Article{Mei95,
  author         = {Meinsma, G.},
  journal        = scl,
  title          = {{J}-spectral factorization and equalizing vectors},
  year           = {1995},
  pages          = {243-249},
  volume         = {25},
  endnotereftype = {Report},
  file           = {Mei95.pdf::Djvu;Mei95.pdf:Mei95.pdf:PDF;Mei95.pdf:Mei95.pdf:PDF},
  shorttitle     = {J-spectral factorization and equalizing vectors---the extended remix},
}

@ARTICLE{Mei95b,
  author = {Meinsma, G.},
  title = {{U}nstable and {N}onproper {W}eights in ${H}_\infty$-{C}ontrol},
  journal = {Automatica},
  year = {1995},
  volume = {31},
  number = {11},
  month = {Nov},
  pages = {1655-1658},
  issn = {0005-1098},
  abstract = {An H-infinity control problem is examined in which the controller
	can and need only stabilize a part of the generalized closed loop
	due to unstable weights. The procedure is a simple extension of known
	results, and is computationally the easiest method available.},
  endnotereftype = {Journal Article},
  file = {X:/Bibfiles/Mei95b.pdf:Djvu;Mei95b.pdf:Mei95b.pdf:PDF;Mei95b.pdf:Mei95b.pdf:PDF},
  keywords = {h-infinity-control theory stable factorizations riccati equations},
  shorttitle = {Unstable and Nonproper Weights in ${H}_\infty$-Control}
}

@ARTICLE{MeiFu99,
  author = {Meinsma, G. and Fu, M. and Iwasaki, T.},
  title = {{R}obustness of the stability of feedback systems with respect to
	small time delays},
  journal = {Syst. Control Lett.},
  year = {1999},
  volume = {36},
  number = {2},
  month = {1999},
  pages = {131-134},
  endnotereftype = {Journal Article},
  file = {MeiFu99.pdf:MeiFu99.pdf:PDF;MeiFu99.pdf:MeiFu99.pdf:PDF},
  keywords = {robust},
  shorttitle = {Robustness of the stability of feedback systems with respect to small
	time delays}
}

@ARTICLE{MeiIwa00,
  author = {Meinsma, G. and Iwasaki, T. and Fu, M.},
  title = {{W}hen is ({D},{G})-scaling both necessary and sufficient},
  journal = {IEEE T. Automat. Contr.},
  year = {2000},
  volume = {45},
  number = {9},
  pages = {1755-1759},
  endnotereftype = {Journal Article},
  file = {MeiIwa00.pdf:MeiIwa00.pdf:PDF;MeiIwa00.pdf:MeiIwa00.pdf:PDF},
  keywords = {robust},
  shorttitle = {When is (D,G)-scaling both necessary and sufficient}
}

@INPROCEEDINGS{MeiLi09,
  author = {Meiqin, Liu and Li, X. R.},
  title = {{O}ptimal robust ${H}_\infty$ fusion filters for time-delayed systems
	with multiple saturation nonlinear sensors},
  booktitle = {Information Fusion, 2009. FUSION '09. 12th International Conference
	on},
  year = {2009},
  month = {6-9 July 2009},
  pages = {1520-1527},
  endnotereftype = {Conference Proceedings},
  keywords = {H<sup>infin</sup> control asymptotic stability control nonlinearities
	control system analysis control system synthesis convex programming
	delay systems delays filtering theory linear matrix inequalities
	nonlinear control systems robust control sensor fusion statistical
	analysis H<sub>infin</sub> performance analysis controller design
	convex optimization problem linear matrix inequality measurement
	noise multiple saturation nonlinear sensor optimal robust H<sub>infin</sub>
	fusion filter process noise saturation nonlinearity signal filtering
	error statistical characteristics time-delayed system},
  shorttitle = {Optimal robust H<inf>&#x221E;</inf> fusion filters for time-delayed
	systems with multiple saturation nonlinear sensors}
}

@ARTICLE{MeiShr96,
  author = {Meinsma, G. and Shrivastava, Y. and Fu, M.},
  title = {{S}ome properties of an upper bound for $/mu$},
  journal = {IEEE T. Automat. Contr.},
  year = {1996},
  volume = {41},
  number = {9},
  pages = {1326-1330},
  endnotereftype = {Journal Article},
  file = {MeiShr96.pdf:MeiShr96.pdf:PDF;MeiShr96.pdf:MeiShr96.pdf:PDF},
  keywords = {robust},
  shorttitle = {Some properties of an upper bound for $/mu$}
}

@ARTICLE{MeiShr97,
  author = {Meinsma, G. and Shrivastava, G. and Fu, M.},
  title = {{A} dual formulation of mixed $/mu$ and on the losslessness of $({D},
	{G})$ scaling},
  journal = {IEEE T. Automat. Contr.},
  year = {1997},
  volume = {42},
  number = {7},
  pages = {1032 -1036},
  endnotereftype = {Journal Article},
  file = {MeiShr97.pdf:MeiShr97.pdf:PDF;MeiShr97.pdf:MeiShr97.pdf:PDF},
  keywords = {robust},
  shorttitle = {A dual formulation of mixed $/mu$ and on the losslessness of $({D},
	{G})$ scaling}
}

@PHDTHESIS{Men02,
  author = {Meng, H.H.},
  title = {{S}tability analysis and robust control synthesis with generalized
	multipliers},
  year = {2002},
  type = {Ph{D} thesis},
  endnotereftype = {Thesis},
  file = {Meng02.pdf},
  school = {University of Southern California},
  shorttitle = {Stability analysis and robust control synthesis with generalized multipliers}
}

@ARTICLE{Men89,
  author = {Mendlovitz, M.A.},
  title = {{A} {S}imple {S}olution to the {$l_1$} {O}ptimization {P}roblem},
  journal = {Syst. Control Lett.},
  year = {1989},
  volume = {12},
  endnotereftype = {Journal Article},
  keywords = {L1},
  shorttitle = {A Simple Solution to the {$l_1$} Optimization Problem}
}

@INCOLLECTION{MesSaf99,
  author = {Mesbahi, M. and Safonov, M.G. and Papavassilopoulos, P.},
  editor = {{El~Ghaoui}, L. and Niculescu, S.I.},
  title = {{B}ilinearity and {C}omplementarity in {R}obust {C}ontrol},
  booktitle = {Advances in Linear Matrix Inequality Methods in Control},
  year = {1999},
  publisher = {SIAM},
  pages = {269-292},
  address = {Philadelphia},
  endnotereftype = {Book Section},
  shorttitle = {Bilinearity and Complementarity in Robust Control}
}

@ARTICLE{Mey76,
  author = {Meyer, H.-B.},
  title = {{T}he matrix equation {$AZ+B-ZCZ-ZD-0$}},
  journal = {SIAM J. Appl. Math.},
  year = {1976},
  volume = {30},
  pages = {136-142},
  endnotereftype = {Journal Article},
  file = {/bibfiles/Mey76.pdf::Djvu;Mey76.pdf:Mey76.pdf:PDF;Mey76.pdf:Mey76.pdf:PDF},
  keywords = {Riccati},
  shorttitle = {The matrix equation {$AZ+B-ZCZ-ZD-0$}}
}

@INPROCEEDINGS{MinXih10,
  author = {Ming, Zeng and Xihai, Zhang},
  title = {{F}uzzy control of satellite attitude maneuver based on {T}-{S} model},
  booktitle = {Advanced Computer Theory and Engineering (ICACTE), 2010 3rd International
	Conference on},
  year = {2010},
  volume = {6},
  month = {20-22 Aug. 2010},
  isbn = {2154-7491},
  pages = {V6-104-V6-107},
  endnotereftype = {Conference Proceedings},
  keywords = {artificial satellites attitude control control system synthesis fuzzy
	control linear matrix inequalities state feedback T-S fuzzy model
	Takagi-Sugeno model controller design convex optimization problem
	decay rate dynamic equation fuzzy control design fuzzy state feedback
	controller kinematics equation parallel distributed compensation
	scheme rigid satellite attitude maneuver rigid satellite model sufficient
	conditions},
  shorttitle = {Fuzzy control of satellite attitude maneuver based on T-S model}
}

@ARTICLE{Mir03,
  author = {Mirkin, L.},
  title = {{O}n the {E}xtraction of {D}ead-{T}ime {C}ontrollers and {E}stimators
	{F}rom {D}elay-{F}ree {P}arametrizations},
  journal = {IEEE T. Automat. Contr.},
  year = {2003},
  volume = {48},
  number = {4},
  pages = {543-553},
  endnotereftype = {Journal Article},
  file = {mir03.pdf::Djvu;Mir03.pdf:Mir03.pdf:PDF;Mir03.pdf:Mir03.pdf:PDF},
  keywords = {delay},
  shorttitle = {On the Extraction of Dead-Time Controllers and Estimators From Delay-Free
	Parametrizations}
}

@INPROCEEDINGS{MirNie11,
  author = {Mirzaei, M. and Niemann, H. H. and Poulsen, N. K.},
  title = {{A} $/mu$-synthesis approach to robust control of a wind turbine},
  booktitle = {Decision and Control and European Control Conference (CDC-ECC), 2011
	50th IEEE Conference on},
  year = {2011},
  month = {12-15 Dec. 2011},
  isbn = {0743-1546},
  pages = {645-650},
  endnotereftype = {Conference Proceedings},
  keywords = {Kalman filters control system synthesis damping distributed control
	elasticity iterative methods linear systems parameter estimation
	robust control wind turbines &#x03BC -synthesis approach DK-iteration
	method IEC standard complexity simulation model damping parameter
	distributed system drivetrain stiffness extended Kalman filter lumped
	parameter parametric uncertainties robust controller disign stochastic
	wind speed two-degree of freedom linearized model wind speed estimation
	wind turbine},
  shorttitle = {A &#x03BC;-synthesis approach to robust control of a wind turbine}
}

@ARTICLE{Mit03,
  author = {Mittelmann, H.D.},
  title = {{A}n independent benchmarking of {SDP} and {SOCP} solvers},
  journal = {Mathematical Programming},
  year = {2003},
  volume = {95},
  pages = {407-430},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/Mit03.pdf:Djvu;Mit03.pdf:Mit03.pdf:PDF;Mit03.pdf:Mit03.pdf:PDF},
  keywords = {sdp},
  shorttitle = {An independent benchmarking of {SDP} and {SOCP} solvers}
}

@ARTICLE{Mita2000,
  author = {Mita, T. and Xin, X. and Anderson, B.D.O.},
  title = {{E}xtended {$H_\infty$} control - {$H_\infty$} control with unstable
	weights},
  journal = {Automatica},
  year = {2000},
  volume = {36},
  pages = {735-741},
  endnotereftype = {Journal Article},
  file = {MitXin00.pdf},
  keywords = {H${H}_\infty$},
  shorttitle = {Extended {$H_\infty$} control - {$H_\infty$} control with unstable
	weights}
}

@ARTICLE{Mita2000a,
  author = {Mita, T. and Xin, X. and Anderson, B.D.O.},
  title = {{E}xtended ${H}_\infty$ control - ${H}_\infty$ control with unstable
	weights},
  journal = {Automatica},
  year = {2000},
  volume = {36},
  number = {5},
  pages = {4318-4322},
  endnotereftype = {Journal Article},
  file = {x:/Bibfiles/MitXin00.pdf},
  keywords = {${H}_\infty$},
  shorttitle = {Extended ${H}_\infty$ control - ${H}_\infty$ control with unstable
	weights}
}

@Article{MitKur,
  author         = {Mita, T. and Kuriyama, K. and Liu, K.Z.},
  journal        = {Int. J. Robust Nonlin.},
  title          = {{${\cal H}_\infty$} control with weighting functions having purely imaginary poles - implementing internal models to {${/cal H}_\infty$} controllers},
  endnotereftype = {Journal Article},
  keywords       = {printed},
  printed        = {printed},
  shorttitle     = {{${/cal H}_\infty$} control with weighting functions having purely imaginary poles - implementing internal models to {${/cal H}_\infty$} controllers},
}

@ARTICLE{MitXin00,
  author = {Mita, T. and Xin, X. and Anderson, B. D. O.},
  title = {{E}xtended {H}(infinity) control - {H}(infinity) control with unstable
	weights},
  journal = {Automatica},
  year = {2000},
  volume = {36},
  number = {5},
  month = {May},
  pages = {735-741},
  note = {300MQ Times Cited:14 Cited References Count:12},
  issn = {0005-1098},
  abstract = {This paper presents a complete solution to an extended H(infinity)
	control problem for a generalized plant comprising a physical system
	cascaded with weights containing poles in the closed right half-plane.
	Necessary and sufficient conditions for a solution to exist are obtained
	which guarantee closed-loop stability of the physical system and
	controller as well as achieving the H(infinity) norm constraint on
	the closed loop of the transfer function matrix of the generalized
	plant and controller interconnection. The set of all feasible controllers
	is characterized. Conditions for solvability are a minimal variation
	on those appearing in the standard H(infinity) control problem. (C)
	2000 Elsevier Science Ltd. All rights reserved.},
  endnotereftype = {Journal Article},
  file = {X:/Bibfiles/MitXin00.pdf:Djvu;MitXin00.pdf:MitXin00.pdf:PDF;MitXin00.pdf:MitXin00.pdf:PDF},
  keywords = {h(infinity) control comprehensive stability unstable weights riccati
	equation control system analysis state-space formulas servo},
  shorttitle = {Extended H(infinity) control - H(infinity) control with unstable weights}
}

@Book{MohSch12,
  editor         = {Mohammadpour, J. and Scherer, C.W.},
  publisher      = {Springer},
  title          = {{C}ontrol of {L}inear {P}arameter {V}arying {S}ystems with {A}pplications},
  year           = {2012},
  address        = {New York},
  endnotereftype = {Edited Book},
  keywords       = {LPV Control},
  shorttitle     = {Control of Linear Parameter Varying Systems with Applications},
}

@ARTICLE{MohVau06,
  author = {Moheimani, S. O. R. and Vautier, B. J. G. and Bhikkaji, B.},
  title = {{E}xperimental implementation of extended multivariable {PPF} control
	on an active structure},
  journal = {Control Systems Technology, IEEE Transactions on},
  year = {2006},
  volume = {14},
  number = {3},
  pages = {443-455},
  issn = {1063-6536},
  endnotereftype = {Journal Article},
  keywords = {beams (structures) cantilevers control system synthesis feedback linear
	matrix inequalities multivariable control systems piezoelectric actuators
	position control stability active structure bonded collocated piezoelectric
	actuators cantilevered beam extended multivariable positive position
	feedback control feed through term piezoelectric sensors},
  shorttitle = {Experimental implementation of extended multivariable PPF control
	on an active structure}
}

@ARTICLE{Mol73,
  author = {Molinari, B.P.},
  title = {{T}he stabilizing solution of the algebraic {Riccati} equation},
  journal = {SIAM J. Contr. Optim.},
  year = {1973},
  volume = {11},
  pages = {262-271},
  endnotereftype = {Journal Article},
  file = {Mol73.pdf::Djvu;Mol73.pdf:Mol73.pdf:PDF;Mol73.pdf:Mol73.pdf:PDF},
  keywords = {Riccati},
  shorttitle = {The stabilizing solution of the algebraic {Riccati} equation}
}

@ARTICLE{Mol73b,
  author = {Molinari, B.P.},
  title = {{E}quivalence relations for the algebraic {Riccati} equation},
  journal = {SIAM J. Contr. Optim.},
  year = {1973},
  volume = {11},
  number = {2},
  pages = {272-285},
  endnotereftype = {Journal Article},
  file = {Mol73b.pdf::Djvu;Mol73b.pdf:Mol73b.pdf:PDF;Mol73b.pdf:Mol73b.pdf:PDF},
  keywords = {Riccati spectral factorization},
  shorttitle = {Equivalence relations for the algebraic {Riccati} equation}
}

@ARTICLE{Mol75,
  author = {Molinari, B.P.},
  title = {{N}onnegativity of a quadratic functional},
  journal = {SIAM J. Contr. Optim.},
  year = {1975},
  volume = {13},
  number = {4},
  pages = {792-806},
  endnotereftype = {Journal Article},
  file = {Mol75.pdf::Djvu;Mol75.pdf:Mol75.pdf:PDF;Mol75.pdf:Mol75.pdf:PDF},
  shorttitle = {Nonnegativity of a quadratic functional}
}

@ARTICLE{Mol75b,
  author = {Molinari, B.P.},
  title = {{C}onditions for nonpositive solutions of the linear matrix inequality},
  journal = {IEEE T. Automat. Contr.},
  year = {1975},
  volume = {20},
  number = {6},
  pages = {804-806},
  endnotereftype = {Journal Article},
  file = {Mol75b.pdf:Mol75b.pdf:PDF;Mol75b.pdf:Mol75b.pdf:PDF},
  keywords = {Riccati},
  shorttitle = {Conditions for nonpositive solutions of the linear matrix inequality}
}

@Article{Mol77,
  author         = {Molinari, B.P.},
  title          = {{T}he time-invariant {L}inear-{Q}uadratic optimal control problem},
  year           = {1977},
  pages          = {347-357},
  volume         = {13},
  booktitle      = {Automatica},
  endnotereftype = {Conference Proceedings},
  file           = {Mol77.pdf:Mol77.pdf:PDF;Mol77.pdf:Mol77.pdf:PDF},
  groups         = {CSM20},
  keywords       = {Riccati H2},
  shorttitle     = {The time-invariant Linear-Quadratic optimal control problem},
}

@InProceedings{MolLiu01,
  author         = {Molchanov, A. P. and Liu, D.},
  booktitle      = {Proc. 40th IEEE Conf. Decision and Control},
  title          = {{N}ecessary and sufficient conditions for robust absolute stability of time-varying nonlinear continuous-time systems},
  year           = {2001},
  address        = {Orlando, FL},
  pages          = {45-50},
  endnotereftype = {Conference Proceedings},
  file           = {x:/Bibfiles/MolLiu01.pdf:Djvu;MolLiu01.pdf:MolLiu01.pdf:PDF;MolLiu01.pdf:MolLiu01.pdf:PDF},
  groups         = {SchVee18},
  keywords       = {iqc},
  shorttitle     = {Necessary and sufficient conditions for robust absolute stability of time-varying nonlinear continuous-time systems},
}

@ARTICLE{MolPya89,
  author = {Molchanov, A.P. and Pyatnitskiy, Ye.S.},
  title = {{C}riteria of {A}symptotic {S}tability of {D}ifferential and {D}ifference
	{I}nclusions {E}ncountered in {C}ontrol {T}heory},
  journal = {Syst. Control Lett.},
  year = {1989},
  volume = {13},
  pages = {59-64},
  endnotereftype = {Journal Article},
  file = {MolPya89.pdf::Djvu;MolPya89.pdf:MolPya89.pdf:PDF;MolPya89.pdf:MolPya89.pdf:PDF},
  keywords = {inclusions},
  shorttitle = {Criteria of Asymptotic Stability of Differential and Difference Inclusions
	Encountered in Control Theory}
}

@ARTICLE{Moo81,
  author = {Moore, B.C.},
  title = {{P}rincipal component analysis in linear systems: cntrollability,
	observability, and model reduction},
  journal = {IEEE T. Automat. Contr.},
  year = {1981},
  volume = {26},
  pages = {17-32},
  endnotereftype = {Journal Article},
  file = {Moo81.pdf::Djvu;Moo81.pdf:Moo81.pdf:PDF;Moo81.pdf:Moo81.pdf:PDF},
  keywords = {reduction},
  shorttitle = {Principal component analysis in linear systems: cntrollability, observability,
	and model reduction}
}

@ARTICLE{MooLau78,
  author = {Moore, B.C. and Laub, A.J.},
  title = {{C}omputation of supremal {$(A,B)$}-invariant and controllability
	subspaces},
  journal = {IEEE T. Automat. Contr.},
  year = {1978},
  pages = {783-792},
  endnotereftype = {Journal Article},
  shorttitle = {Computation of supremal {$(A,B)$}-invariant and controllability subspaces}
}

@ARTICLE{MooTom89,
  author = {Moore, J.B. and Tomizuka, M.},
  title = {{O}n the {C}lass of {A}ll {S}tabilizing {R}egulators},
  journal = {IEEE T. Automat. Contr.},
  year = {1989},
  volume = {34},
  pages = {1115-1120},
  endnotereftype = {Journal Article},
  keywords = {Structured controllers},
  shorttitle = {On the Class of All Stabilizing Regulators}
}

@BOOK{Mor05,
  author = {Moreno, J.A.},
  title = {{A}pproximate observer error linearization by dissipativity methods},
  year = {2005},
  edition = {322},
  series = {Lecture Notes in Control and Information Sciences},
  note = {TY - SER Export Date: 15 October 2007 Source: Scopus},
  endnotereftype = {Book},
  file = {http://www.scopus.com/scopus/inward/record.file?eid=2-s2.0-33748796948&partnerID=40&rel=R6.5.0},
  month = {2005///},
  shorttitle = {Approximate observer error linearization by dissipativity methods}
}

@ARTICLE{Mor73,
  author = {Morse, A.S.},
  title = {{S}tructural invariants of linear multivariable systems},
  journal = {SIAM J. Contr. Optim.},
  year = {1973},
  pages = {446-465},
  endnotereftype = {Journal Article},
  shorttitle = {Structural invariants of linear multivariable systems}
}

@BOOK{Mor87,
  author = {Mortensen, R.E.},
  title = {{R}andom {S}ignals and {S}ystems},
  year = {1987},
  publisher = {John Wiley /\& Sons},
  endnotereftype = {Book},
  shorttitle = {Random Signals and Systems}
}

@ARTICLE{MorLee99,
  author = {Morari, M. and Lee, J.H.},
  title = {{M}odel {P}redictive {C}ontrol: {P}ast, {P}resent and {F}uture},
  journal = {Computers and Chemical Engineering},
  year = {1999},
  volume = {23},
  pages = {667-682},
  endnotereftype = {Journal Article},
  keywords = {MPC},
  shorttitle = {Model Predictive Control: Past, Present and Future}
}

@INPROCEEDINGS{MorNis94,
  author = {Mori, T. and Nishimura, T. and Kuroe, Y.},
  title = {{S}tability of {L}ur'e systems with interval plants and general sector-type
	nonlinearities},
  booktitle = {Proc. Amer. Contr. Conf.},
  year = {1994},
  pages = {1013-1016},
  address = {Baltimore, Maryland},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Stability of {L}ur'e systems with interval plants and general sector-type
	nonlinearities}
}

@INPROCEEDINGS{MotJad06,
  author = {Motee, N. and Jadbabaie, A.},
  title = {{D}istributed receding horizon control of spatially invariant systems},
  booktitle = {Proc. American Control Conf.},
  year = {2006},
  month = {14-16 June 2006},
  pages = {6 pp.},
  endnotereftype = {Conference Proceedings},
  keywords = {Fourier analysis dynamics infinite horizon invariance optimal control
	predictive control quadratic programming convolution sum distributed
	receding horizon control distributed spatially invariant systems
	finite horizon cost function infinite-horizon optimal control input
	constraint multiparametric quadratic programming operator theory
	optimal receding horizon controllers state constraint},
  shorttitle = {Distributed receding horizon control of spatially invariant systems}
}

@INPROCEEDINGS{MotJad08,
  author = {Motee, N. and Jadbabaie, A. and Bamieh, B.},
  title = {{O}n decentralized optimal control and information structures},
  booktitle = {Proc. American Control Conf.},
  year = {2008},
  month = {11-13 June 2008},
  isbn = {0743-1619},
  pages = {4985-4990},
  endnotereftype = {Conference Proceedings},
  keywords = {algebra decentralised control differential equations distributed control
	linear quadratic control stability LQR problem circulant matrix decentralized
	optimal control differential equation information structure operator
	algebra quadratic cost criteria stabilizing controller triangular
	matrix},
  shorttitle = {On decentralized optimal control and information structures}
}

@Article{Moy75,
  author         = {Moylan, P.},
  journal        = {IEEE T. Automat. Contr.},
  title          = {{O}n a frequency-domain condition in linear optimal control theory},
  year           = {1975},
  number         = {6},
  pages          = {806},
  volume         = {20},
  endnotereftype = {Journal Article},
  file           = {Mol75b.pdf},
  groups         = {CSM20},
  keywords       = {Riccati},
  shorttitle     = {On a frequency-domain condition in linear optimal control theory},
}

@ARTICLE{MulKot00,
  author = {Mulder, E.F. and Kothare, M.V. and Morari, M.},
  title = {{M}ultivariable anti-windup controller synthesis using bilinear matrix
	inequalities},
  journal = {European Journal of Control},
  year = {2000},
  volume = {6},
  number = {5},
  pages = {455-464},
  endnotereftype = {Journal Article},
  shorttitle = {Multivariable anti-windup controller synthesis using bilinear matrix
	inequalities}
}

@ARTICLE{Mur02,
  author = {Murray, R.},
  title = {{C}ontrol in an {I}nformation {R}ich {W}orld},
  year = {2002},
  endnotereftype = {Journal Article},
  file = {:report02.pdf:},
  shorttitle = {Control in an Information Rich World}
}

@TECHREPORT{Mur02a,
  author = {Murray, R.M.},
  title = {{P}anel on {F}uture {D}irections in {C}ontrol, {D}ynamics, and {S}ystems},
  year = {2002},
  type = {Future directions report with emphasis on robustness: http://www.cds.caltech.edu/~murray/cdspanel/},
  endnotereftype = {Report},
  file = {Mur02a.pdf:Mur02a.pdf:PDF},
  keywords = {future},
  shorttitle = {Panel on Future Directions in Control, Dynamics, and Systems}
}

@ARTICLE{MurAst03,
  author = {Murray, R.M. and Astr{\"o}m, K.J. and Boyd, S.P. and Brockett, R.W.
	and Stein, G.},
  title = {{F}uture directions in control in an information-rich world},
  journal = {IEEE Contr. Syst. Mag.},
  year = {2003},
  volume = {23},
  number = {2},
  pages = {20-33},
  endnotereftype = {Journal Article},
  shorttitle = {Future directions in control in an information-rich world}
}

@ARTICLE{Mus96,
  author = {Mustafa, D.},
  title = {{LQG} optimal scalar static output feedback},
  journal = {Syst. Control Lett.},
  year = {1996},
  pages = {9-19},
  endnotereftype = {Journal Article},
  shorttitle = {{LQG} optimal scalar static output feedback}
}

@BOOK{MusGlo90,
  author = {Mustafa, D. and Glover, K.},
  title = {{M}inimum {E}ntropy {$H_\infty$} {C}ontrol},
  year = {1990},
  series = {Lecture Notes in Control and Information Sciences},
  endnotereftype = {Book},
  shorttitle = {Minimum Entropy {$H_\infty$} Control}
}

@INPROCEEDINGS{Nag01,
  author = {Nagamune, R.},
  title = {{C}losed-loop shaping by analytic functions with a bounded degree},
  booktitle = {European Control Conf.},
  year = {2001},
  pages = {722-726},
  address = {Porto, Portugal},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/Nag01.pdf:Djvu;Nag01.pdf:Nag01.pdf:PDF;Nag01.pdf:Nag01.pdf:PDF},
  keywords = {interpolation ${H}_\infty$},
  shorttitle = {Closed-loop shaping by analytic functions with a bounded degree}
}

@INPROCEEDINGS{NagPet08,
  author = {Nagy, S. and Petres, Z. and Baranyi, P.},
  title = {{TP} model transformation based controller design for the parallel-type
	double inverted pendulum},
  booktitle = {Fuzzy Systems, 2008. FUZZ-IEEE 2008. (IEEE World Congress on Computational
	Intelligence). IEEE International Conference on},
  year = {2008},
  month = {1-6 June 2008},
  isbn = {1098-7584},
  pages = {1374-1380},
  endnotereftype = {Conference Proceedings},
  keywords = {compensation control system synthesis fuzzy systems linear matrix
	inequalities nonlinear control systems TP model transformation TS
	fuzzy model controller design decay rate control finite element convex
	polytopic representation parallel distributed compensation control
	parallel-type double inverted pendulum quasi linear parameter varying
	model tensor product model},
  shorttitle = {TP model transformation based controller design for the parallel-type
	double inverted pendulum}
}

@INPROCEEDINGS{NagPra98,
  author = {Nagpal, K.M. and Pransath, R.K.},
  title = {{S}tate-{S}pace {A}pproach to {C}ontrol {D}esign under {P}artial
	{S}tatistical {I}nformation for {E}xogenous {S}ignals},
  booktitle = {Proc. 37th IEEE Conf. Decision and Control},
  year = {1998},
  pages = {1315-1320},
  address = {Tampa, Fl},
  endnotereftype = {Conference Proceedings},
  shorttitle = {State-Space Approach to Control Design under Partial Statistical Information
	for Exogenous Signals}
}

@ARTICLE{NagRav97,
  author = {Nagpal, K. and Ravi, R.},
  title = {${/cal H_\infty}$ control and estimation problems with delayed measurements:
	state-space solutions},
  journal = {{SIAM} J. Control Optim.},
  year = {1997},
  volume = {35},
  number = {4},
  pages = {1217-1243},
  endnotereftype = {Journal Article},
  file = {NagRav97.pdf::Djvu;NagRav97.pdf:NagRav97.pdf:PDF;NagRav97.pdf:NagRav97.pdf:PDF},
  keywords = {delay},
  shorttitle = {${/cal H_\infty}$ control and estimation problems with delayed measurements:
	state-space solutions}
}

@INPROCEEDINGS{NamFuj99,
  author = {Namerikawa, T. and Fujita, M.},
  title = {{U}ncertain model and $/mu$-synthesis of a magnetic bearing},
  booktitle = {Proceedings of the 1999 IEEE International Conference on Control
	Applications},
  year = {1999},
  volume = {1},
  pages = {558 - 563},
  address = {Kohala Coast, HI},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Uncertain model and $/mu$-synthesis of a magnetic bearing}
}

@INPROCEEDINGS{NapBam01,
  author = {Napoli, M. and Bamieh, B.},
  title = {{M}odeling and observer design for an array of electrostatically
	actuated microcantilevers},
  booktitle = {Decision and Control, 2001. Proceedings of the 40th IEEE Conference
	on},
  year = {2001},
  volume = {5},
  month = {2001},
  pages = {4274-4279 vol.5},
  endnotereftype = {Conference Proceedings},
  keywords = {distributed control distributed parameter systems electrostatic actuators
	matrix algebra microsensors observers reduced order systems time-varying
	systems capacitively actuated microcantilevers distributed sensing
	electrostatically actuated microcantilevers lifting technique observer
	design periodically excited cantilevers spatial invariance spatially
	invariant system temporal periodicity},
  shorttitle = {Modeling and observer design for an array of electrostatically actuated
	microcantilevers}
}

@INPROCEEDINGS{NapBam98,
  author = {Napoli, M. and Bamieh, B. and Dahleh, M.},
  title = {{O}ptimal control of arrays of microcantilevers},
  booktitle = {Decision and Control, 1998. Proceedings of the 37th IEEE Conference
	on},
  year = {1998},
  volume = {2},
  month = {16-18 Dec 1998},
  pages = {2077-2082 vol.2},
  endnotereftype = {Conference Proceedings},
  keywords = {arrays atomic force microscopy control system synthesis invariance
	microactuators microsensors multidimensional systems nanotechnology
	suboptimal control distributed actuator array distributed sensor
	array microcantilevers nano-scale manufacturing optimal H<sub>2</sub>
	controllers spatial invariance spatially-invariant system},
  shorttitle = {Optimal control of arrays of microcantilevers}
}

@Book{NarTay73,
  author         = {Narendra, K.S. AND Taylor, J.H.},
  publisher      = {Academic Press},
  title          = {{F}requency Domain Criteria for Absolute Stability},
  year           = {1973},
  address        = {New York},
  endnotereftype = {Book},
  file           = {:Books/Control/Stability/NarTay73.pdf:PDF},
  shorttitle     = {Frequency Domain Criteria for Absolute Stability},
}

@INPROCEEDINGS{NedOzd07,
  author = {Nedic, A. and Ozdaglar, A.},
  title = {{O}n the rate of convergence of distributed subgradient methods for
	multi-agent optimization},
  booktitle = {Decision and Control, 2007 46th IEEE Conference on},
  year = {2007},
  month = {12-14 Dec. 2007},
  isbn = {0191-2216},
  pages = {4711-4716},
  endnotereftype = {Conference Proceedings},
  keywords = {control system analysis control system synthesis convergence decentralised
	control multi-robot systems convergence rate distributed subgradient
	methods multi-agent optimization},
  shorttitle = {On the rate of convergence of distributed subgradient methods for
	multi-agent optimization}
}

@ARTICLE{Nem93,
  author = {Nemirovski, A.},
  title = {{S}everal {NP}-hard problems arising in robust stability analysis},
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  year = {1993},
  volume = {6},
  pages = {99-105},
  endnotereftype = {Journal Article},
  keywords = {robust},
  shorttitle = {Several NP-hard problems arising in robust stability analysis}
}

@ARTICLE{NerHad06,
  author = {Nersesov, S.G. and Haddad, W.M.},
  title = {{O}n the stability and control of nonlinear dynamical systems via
	vector {L}yapunov functions},
  journal = {IEEE T. Automat. Contr.},
  year = {2006},
  volume = {51},
  number = {2},
  month = {2006///},
  pages = {203-215},
  note = {TY - JOUR Cited By (since 1996): 1 Export Date: 15 October 2007 Source:
	Scopus},
  endnotereftype = {Journal Article},
  file = {http://www.scopus.com/scopus/inward/record.file?eid=2-s2.0-33244457608&partnerID=40&rel=R6.5.0},
  shorttitle = {On the stability and control of nonlinear dynamical systems via vector
	Lyapunov functions}
}

@Book{Nes00,
  title          = {{S}quared functional systems and optimization problems},
  publisher      = {Kluwer Academic Press},
  year           = {2000},
  author         = {Nesterov, Y.},
  address        = {Dordrecht},
  booktitle      = {High Performance Optimization},
  endnotereftype = {Book Section},
  pages          = {405-440},
  shorttitle     = {Squared functional systems and optimization problems},
}

@ARTICLE{Nes99,
  author = {Nesic, D. and Mareels, I.M.Y.},
  title = {{C}ontrollability of structured polynomial systems},
  journal = {IEEE T. Automat. Contr.},
  year = {2000},
  endnotereftype = {Journal Article},
  shorttitle = {Controllability of structured polynomial systems}
}

@Book{NesNem94,
  author         = {Nesterov, Y. and Nemirovski, A.},
  publisher      = {SIAM Publications},
  title          = {{I}nterior point polynomial methods in convex programming},
  year           = {1994},
  address        = {Philadelphia},
  series         = {SIAM Series in Applied Mathematics},
  endnotereftype = {Book},
  groups         = {CSM20},
  shorttitle     = {Interior point polynomial methods in convex programming},
}

@INPROCEEDINGS{Net85,
  author = {Nett, C.N.},
  title = {{A}lgebraic aspects of linear control system stability},
  booktitle = {Proc. 24th IEEE Conf. Decision and Control},
  year = {1985},
  pages = {290-301},
  address = {Ft. Lauderdale, FL},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Algebraic aspects of linear control system stability}
}

@ARTICLE{Neu02,
  author = {Neumaier, A.},
  title = {{G}rand {C}hallenges and {S}cientific {S}tandards in {I}nterval {A}nalysis},
  journal = {Reliable Computing},
  year = {2002},
  volume = {8},
  pages = {313-320},
  endnotereftype = {Journal Article},
  file = {Neu02.pdf::Djvu;Neu02.pdf:Neu02.pdf:PDF;Neu02.pdf:Neu02.pdf:PDF},
  keywords = {interval},
  shorttitle = {Grand Challenges and Scientific Standards in Interval Analysis}
}

@ARTICLE{NguJab00,
  author = {Nguyen, T. and Jabbari, F.},
  title = {{O}utput feedback controller for disturbance attenuation with actuator
	amplitude and rate saturation},
  journal = {Automatica},
  year = {2000},
  volume = {36},
  number = {9},
  pages = {1339-1346},
  endnotereftype = {Journal Article},
  keywords = {constraints},
  shorttitle = {Output feedback controller for disturbance attenuation with actuator
	amplitude and rate saturation}
}

@INPROCEEDINGS{NguJab99,
  author = {Nguyen, T. and Jabbari, F.},
  title = {{O}utput feedback controllers for disturbance attenuation with actuator
	amplitude and rate saturation},
  booktitle = {Proc. Amer. Contr. Conf.},
  year = {1999},
  volume = {3},
  pages = {1997-2001},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/NguJab99.pdf:Djvu;NguJab99.pdf:NguJab99.pdf:PDF;NguJab99.pdf:NguJab99.pdf:PDF},
  keywords = {constraints},
  shorttitle = {Output feedback controllers for disturbance attenuation with actuator
	amplitude and rate saturation}
}

@ARTICLE{NguJab99b,
  author = {Nguyen, T. and Jabbari, F.},
  title = {{D}isturbance attenuation for systems with input saturation: an {LMI}
	approach},
  journal = {IEEE T. Automat. Contr.},
  year = {1999},
  volume = {44},
  number = {4},
  pages = {852-858},
  endnotereftype = {Journal Article},
  keywords = {constraints},
  shorttitle = {Disturbance attenuation for systems with input saturation: an {LMI}
	approach}
}

@INPROCEEDINGS{NguSch07,
  author = {Nguyen Tien, H. and Scherer, C.W. and Scherpen, J. M. A.},
  title = {{R}obust performance of self-scheduled {LPV} control of doubly-fed
	induction generator in wind energy conversion systems},
  booktitle = {2007 European Conference on Power Electronics and Applications, EPE},
  year = {2007},
  note = {Export Date: 6 January 2009 Source: Scopus Art. No.: 4417460},
  endnotereftype = {Conference Proceedings},
  file = {http://www.scopus.com/scopus/inward/record.file?eid=2-s2.0-51049122107&partnerID=40},
  shorttitle = {Robust performance of self-scheduled LPV control of doubly-fed induction
	generator in wind energy conversion systems}
}

@INPROCEEDINGS{NieSab99,
  author = {Niemann, H. and Saberi, A. and Stoorvogel, A.A. and Sannuti, P.},
  title = {{E}xact, {A}lmost and {D}elayed {F}ault {D}etection: {A}n {O}bserver
	{B}ased {A}pproach},
  booktitle = {Proc. Amer. Contr. Conf.},
  year = {1999},
  pages = {99-104},
  address = {San Diego, CA},
  endnotereftype = {Conference Proceedings},
  shorttitle = {Exact, Almost and Delayed Fault Detection: An Observer Based Approach}
}

@INPROCEEDINGS{NobBro07,
  author = {Nobakhti, A. and Brown, M. and Hong, Wang},
  title = {{O}n {R}educed {S}tructure {C}ontrol and the 1-norm regularisation},
  booktitle = {Networking, Sensing and Control, 2007 IEEE International Conference
	on},
  year = {2007},
  month = {15-17 April 2007},
  pages = {81-86},
  endnotereftype = {Conference Proceedings},
  keywords = {closed loop systems control system analysis control system synthesis
	engines gas turbines multivariable systems optimal control reduced
	order systems 1-norm regularisation controller design controller
	structure selection problem gas-turbine engine large multivariable
	closed loop systems local structural sensitivity optimal controller
	structures reduced structure control},
  shorttitle = {On Reduced Structure Control and the 1-norm regularisation}
}

@INPROCEEDINGS{NobBro07a,
  author = {Nobakhti, A. and Brown, M. and Hong, Wang},
  title = {{O}n the sensitivity of the control structure selection problems
	in large scale multivariable systems},
  booktitle = {Decision and Control, 2007 46th IEEE Conference on},
  year = {2007},
  month = {12-14 Dec. 2007},
  isbn = {0191-2216},
  pages = {4116-4121},
  endnotereftype = {Conference Proceedings},
  keywords = {H<sup>infin</sup> optimisation control system synthesis large-scale
	systems matrix algebra multivariable control systems sensitivity
	analysis H<sub>2</sub> optimization problem basis pursuit regularization
	methods computationally inexpensive graphical analysis tools control
	structure selection problems control system design controller reduced
	structure problem large scale multivariable systems sensitivity assessment
	static gain matrix},
  shorttitle = {On the sensitivity of the control structure selection problems in
	large scale multivariable systems}
}

@ARTICLE{OarVar99,
  author = {Oara, C. and Varga, A.},
  title = {{M}inimal {D}egree {C}oprime {F}actorization of {R}ational {M}atrices},
  journal = {SIAM J. Matrix Analysis},
  year = {1999},
  volume = {21},
  number = {1},
  pages = {245-278},
  endnotereftype = {Journal Article},
  file = {/bibfiles/OarVar99.pdf::Djvu;OarVar99.pdf:OarVar99.pdf:PDF;OarVar99.pdf:OarVar99.pdf:PDF},
  shorttitle = {Minimal Degree Coprime Factorization of Rational Matrices}
}

@INPROCEEDINGS{OhaMat01,
  author = {Ohara, A. and Matsumoto, K. and Ide, M.},
  title = {{R}obust controller synthesis for plants satisfying a certain class
	of {IQC}},
  booktitle = {Proc. American Control Conf.},
  year = {2001},
  volume = {5},
  note = {TY - CONF Cited By (since 1996): 1 Export Date: 15 October 2007 Source:
	Scopus},
  month = {2001///},
  pages = {3427-3432},
  endnotereftype = {Conference Proceedings},
  file = {http://www.scopus.com/scopus/inward/record.file?eid=2-s2.0-0034847147&partnerID=40&rel=R6.5.0},
  shorttitle = {Robust controller synthesis for plants satisfying a certain class
	of IQC}
}

@ARTICLE{OliBer99,
  author = {Oliveira, M.C. de and Bernussou, J. and Geromel, J.C.},
  title = {{A} {N}ew {D}iscrete-{T}ime {R}obust {S}tability {C}ondition},
  journal = {Syst. Control Lett.},
  year = {1999},
  volume = {37},
  pages = {261-265},
  endnotereftype = {Journal Article},
  file = {OliBer99.pdf:OliBer99.pdf:PDF},
  shorttitle = {A New Discrete-Time Robust Stability Condition}
}

@INPROCEEDINGS{OliCam00,
  author = {de Oliveira, M. C. and Camino, J. F. and Skelton, R. E.},
  title = {{A} convexifying algorithm for the design of structured linear controllers},
  booktitle = {Decision and Control, 2000. Proceedings of the 39th IEEE Conference
	on},
  year = {2000},
  volume = {3},
  month = {2000},
  isbn = {0191-2216},
  pages = {2781-2786 vol.3},
  endnotereftype = {Conference Proceedings},
  keywords = {H<sup>&infin </sup> control control system synthesis convergence feedback
	linear systems stability H<sub>&infin </sub> norms H<sub>2</sub>
	norms convexifying algorithm fixed order output feedback control
	gain matrix local optimality real positiveness standard control objectives
	standard unstructured static output feedback problem structured linear
	controllers suboptimal solutions},
  shorttitle = {A convexifying algorithm for the design of structured linear controllers}
}

@Article{OliGer02,
  author         = {De Oliveira, M.C. and Geromel, J. C. and Bernussou, J.},
  journal        = {International Journal of Control},
  title          = {{E}xtended ${H}_2$ and ${H}_\infty$-norm characterizations and controller parametrizations for discrete-time systems},
  year           = {2002},
  number         = {9},
  pages          = {666-679},
  volume         = {75},
  endnotereftype = {Journal Article},
  file           = {OliGer02.pdf::Djvu;OliGer02.pdf:OliGer02.pdf:PDF;OliGer02.pdf:OliGer02.pdf:PDF},
  shorttitle     = {Extended ${H}_2$ and ${H}_\infty$-norm characterizations and controller parametrizations for discrete-time systems},
}

@Article{Kim89,
  author    = {Hidenori Kimura},
  journal   = {International Journal of Control},
  title     = {Conjugation, interpolation and model-matching in ${H}_\infty$},
  year      = {1989},
  number    = {1},
  pages     = {269-307},
  volume    = {49},
  doi       = {10.1080/00207178908559634},
  eprint    = {https://doi.org/10.1080/00207178908559634},
  groups    = {Generic},
  publisher = {Taylor \& Francis},
  url       = {https://doi.org/10.1080/00207178908559634},
}

@Book{Nes18,
  author    = {Yurii Nesterov},
  publisher = {Springer International Publishing},
  title     = {Lectures on Convex Optimization},
  year      = {2018},
  series    = {Springer Optimization and Its Applications},
  volume    = {137},
  file      = {:Nes18.pdf:PDF},
  groups    = {Generic},
}

@Book{Pol87,
  author    = {Boris Polyak},
  publisher = {Optimization Software, Inc., New York},
  title     = {Introduction to Optimization},
  year      = {1987},
  file      = {:Pol87.djvu:Djvu},
  groups    = {Generic},
}

@Article{ScoFre18,
  author     = {Bryan Van Scoy and Randy A. Freeman and Kevin M. Lynch},
  journal    = {IEEE Control Systems Letters},
  title      = {The Fastest Known Globally Convergent First-Order Method for Minimizing Strongly Convex Functions},
  year       = {2018},
  number     = {1},
  pages      = {49-54},
  volume     = {2},
  file       = {:Papers/SchEbe20/ScoFre18.pdf:PDF},
  groups     = {SchEbe20},
  keywords   = {relevant, read},
  readstatus = {read},
  relevance  = {relevant},
}

@Book{ZhoDoy96,
  author         = {Zhou, K. and Doyle, J. and Glover, K.},
  publisher      = {Prentice Hall},
  title          = {{R}obust and {O}ptimal {C}ontrol},
  year           = {1996},
  address        = {Upper Saddle River, New Jersey},
  endnotereftype = {Book},
  file           = {:Books/Control/Robust/ZhoDoy96.pdf:PDF},
  groups         = {Generic},
  shorttitle     = {Robust and Optimal Control},
  timestamp      = {2019-09-19},
}

@Article{HosHag13,
  author    = {Yohei Hosoe and Tomomichi Hagiwara},
  journal   = {Automatica},
  title     = {Unified treatment of robust stability conditions for discrete-time systems through an infinite matrix framework},
  year      = {2013},
  issn      = {0005-1098},
  number    = {5},
  pages     = {1488 - 1493},
  volume    = {49},
  abstract  = {This paper is motivated by the study on clarifying further relationship between the conventional lifting-free causal linear time-invariant (LTI) scaling and lifting-based noncausal linear periodically time-varying (LPTV) scaling approaches to robust stability analysis. To facilitate such a study, this paper gives the infinite matrix representation counterparts of the robust stability conditions in the separator-type robust stability theorems for these approaches. These counterparts lead to the idea of infinite-dimensional separators and provide us with a unified framework for studying the mutual relationship between these two approaches. This paper takes causal LTI and noncausal LPTV separators characterized by finite impulse response, which are respectively defined in the lifting-free and lifting-based frameworks, and compares them with respect to conservativeness of robust stability analysis by means of the unified framework. Through such a discussion, it is demonstrated that the unified framework can lead to a very comprehensible and intuitive study on the mutual relationship between causal LTI and noncausal LPTV scaling approaches.},
  doi       = {https://doi.org/10.1016/j.automatica.2013.02.017},
  file      = {:HosHag13.pdf:PDF},
  keywords  = {Robust stability, Discrete-time systems, Time-invariant systems, Linear systems, Infinite matrices, relevant},
  relevance = {relevant},
  timestamp = {2019-09-20},
  url       = {http://www.sciencedirect.com/science/article/pii/S0005109813000812},
}

@Article{ArjSha16,
  author     = {Arjevani, Yossi and Shalev-Shwartz, Shai and Shamir, Ohad},
  journal    = {J. Mach. Learn. Res.},
  title      = {On Lower and Upper Bounds in Smooth and Strongly Convex Optimization},
  year       = {2016},
  issn       = {1532-4435},
  month      = jan,
  number     = {1},
  pages      = {4303--4353},
  volume     = {17},
  acmid      = {3007079},
  file       = {:Papers/SchEbe20/ArjSha16.pdf:PDF},
  groups     = {SchEbe20},
  issue_date = {January 2016},
  keywords   = {accelerated gradient descent, full gradient descent, heavy ball method, smooth and strongly convex optimization},
  numpages   = {51},
  publisher  = {JMLR.org},
  url        = {http://dl.acm.org/citation.cfm?id=2946645.3007079},
}

@Article{ByrLin00,
  author    = {Byrnes, C. and Lindquist, A.},
  journal   = {SIAM Journal on Control and Optimization},
  title     = {On the Duality between Filtering and Nevanlinna--Pick Interpolation},
  year      = {2000},
  number    = {3},
  pages     = {757-775},
  volume    = {39},
  doi       = {10.1137/S0363012999351115},
  eprint    = {https://doi.org/10.1137/S0363012999351115},
  file      = {:ByrLin00.pdf:PDF},
  groups    = {Generic},
  timestamp = {2019-09-24},
  url       = {https://doi.org/10.1137/S0363012999351115},
}

@Article{FazRib18,
  author    = {Fazlyab, Mahyar and Ribeiro, Alejandro and Morari, Manfred and Preciado, Victor M},
  journal   = {SIAM Journal on Optimization},
  title     = {Analysis of optimization algorithms via integral quadratic constraints: Nonstrongly convex problems},
  year      = {2018},
  number    = {3},
  pages     = {2654--2689},
  volume    = {28},
  file      = {:FazRib18.pdf:PDF},
  groups    = {SchEbe20},
  publisher = {SIAM},
  timestamp = {2020-08-21},
}

@Book{AstWit89,
  author    = {{\AA}str{\"o}m, K.J. and Wittenmark, B.},
  publisher = {Addison-Wesley},
  title     = {Adaptive Control},
  year      = {1995},
  isbn      = {9780201558661},
  series    = {Addison-Wesley series in electrical engineering : control engineering},
  file      = {:AstWit89.pdf:PDF},
  groups    = {Generic},
  lccn      = {94012682},
  timestamp = {2020-08-21},
  url       = {https://books.google.de/books?id=FJ4eAQAAIAAJ},
}

@Article{SchKoe13,
  author         = {Scherer, C. W. and K\"{o}se, I. Emre},
  journal        = {Syst. Contr. Letters},
  title          = {{F}rom transfer matrices to realizations: {C}onvergence properties and parametrization of robustness analysis conditions},
  year           = {2013},
  address        = {Milano, Italy},
  booktitle      = {Syst. Control Lett.},
  endnotereftype = {Conference Proceedings},
  file           = {SchKos13.pdf:Scherer\\SchKos13.pdf:PDF},
  owner          = {carsten},
  pdf            = {Scherer\SchKos11.pdf},
  shorttitle     = {On Convergence of Transfer Matrices and their Realizations},
  timestamp      = {2013.09.25},
}

@INPROCEEDINGS{Sch12,
  author = {Scherer, C. W.},
  title = {{G}ain-scheduled synthesis with dynamic positive real multipliers},
  booktitle = cdc12,
  year = {2012},
  pages = {6641-6646},
  address = {Maui},
  comment = {2012},
  endnotereftype = {Conference Proceedings},
  owner = {carsten},
  pdf = {Scherer\Sch12Allerton.pdf},
  shorttitle = {Gain-scheduled synthesis with dynamic positive real multipliers},
  timestamp = {2013.09.25}
}

@INPROCEEDINGS{Sch12a,
  author = {Scherer, C. W.},
  title = {{D}istributed control with dynamic dissipation constraints},
  booktitle = {50th Annual Allerton Conference on Communication, Control, and Computing},
  year = {2012},
  pages = {55-62},
  address = {Monticello, Illinois},
  comment = {2012},
  endnotereftype = {Conference Proceedings},
  file = {Sch12a.pdf:Scherer\\Sch12a.pdf:PDF},
  owner = {carsten},
  shorttitle = {Distributed control with dynamic dissipation constraints},
  timestamp = {2013.09.25}
}

@Article{SchKoe12,
  author         = {Scherer, C. W. and K\"ose, I. E},
  journal        = {IEEE T. Automat. Contr.},
  title          = {{G}ain-scheduled control synthesis using dynamic ${D}$-scales},
  year           = {2012},
  number         = {57},
  pages          = {2219 - 2234},
  volume         = {9},
  endnotereftype = {Journal Article},
  file           = {SchKos12.pdf:Scherer\\SchKos12.pdf:PDF},
  owner          = {carsten},
  pdf            = {Scherer\SchKos12.pdf},
  shorttitle     = {Gain-Scheduled Control Synthesis using Dynamic ${D}$-Scales},
  timestamp      = {2013.09.25},
}

@INPROCEEDINGS{VeeSch12,
  author = {Veenman, J. and Scherer, C. W.},
  title = {{R}obust gain-scheduled controller synthesis is convex for systems
	without control channel uncertainties},
  booktitle = {51 IEEE Conference on Decision and Control},
  year = {2012},
  pages = {1524-1529},
  address = {Maui},
  comment = {2012},
  endnotereftype = {Conference Proceedings},
  owner = {carsten},
  shorttitle = {Robust gain-scheduled controller synthesis is convex for systems without
	control channel uncertainties},
  timestamp = {2013.09.25}
}

@InProceedings{SchKoe10,
  author         = {Scherer, C. W. and K\"ose, I. E},
  booktitle      = {49th IEEE Conference on Decision and Control},
  title          = {{G}ain-{S}cheduled {C}ontrol {S}ynthesis using {D}ynamic ${D}$-{S}cales},
  year           = {2010},
  address        = {Altanta, GA},
  pages          = {6845-6850},
  endnotereftype = {Conference Proceedings},
  file           = {SchKos10.pdf:Scherer\\SchKos10.pdf:PDF},
  owner          = {carsten},
  pdf            = {Scherer\SchKos10.pdf},
  shorttitle     = {Gain-Scheduled Control Synthesis using Dynamic ${D}$-Scales},
  timestamp      = {2013.09.25},
}

@ARTICLE{TroSch10,
  author = {Trottemant, E. J. and Scherer, C. W. and Weiss, M. and Vermeulen,
	A.},
  title = {{R}obust {M}issile {F}eedback {C}ontrol {S}trategies},
  journal = {Journal of Guidance Control and Dynamics},
  year = {2010},
  volume = {33},
  pages = {1837-1846},
  number = {6},
  month = {Nov-Dec},
  note = {684QE Times Cited:0 Cited References Count:0},
  abstract = {The nature of the missile interception problem with two noncooperative
	players leads to the field of differential games Introducing nonlinear
	uncertain models can potentially lead to nonexistence of game theoretic
	equilibrium strategies, computationally intractable problems, and/or
	highly reduced performance of the strategies The objective is therefore
	to obtain robust strategies that provide an upper bound on the performance
	of the nonlinear system against all allowable disturbances and model
	uncertainties Robust programming and more specific robust linear
	matrix inequality techniques have proved to be an extremely effective
	tool to design such robust control strategies This paper extends
	the existing robust disturbance feedback framework such that it can
	effectively deal with a large class of model mismatches and uncertainties
	such as target maneuvers and nonlinearities The implementation of
	these strategies in a receding horizon fashion on missile intercept
	problems leads to very satisfactory results when compared to traditional
	guidance laws},
  endnotereftype = {Journal Article},
  file = {<Go to ISI>://000284563600014},
  issn = {0731-5090},
  owner = {carsten},
  shorttitle = {Robust Missile Feedback Control Strategies},
  timestamp = {2013.09.25}
}

@InProceedings{VicSch09,
  author         = {Viccione, P. and Scherer, C. W. and Innocenti, M.},
  booktitle      = {6th IFAC Symposium on Robust Control Design},
  title          = {{LPV} {S}ynthesis with {I}ntegral {Q}uadratic {C}onstraints for {D}istributed {C}ontrol of {I}nterconnected {S}ystems},
  year           = {2009},
  address        = {Haifa},
  comment        = {2009},
  endnotereftype = {Conference Proceedings},
  owner          = {carsten},
  shorttitle     = {{LPV} Synthesis with Integral Quadratic Constraints for Distributed Control of Interconnected Systems},
  timestamp      = {2013.09.25},
}

@Article{SchKoe08,
  author         = {Scherer, Carsten W. and K\"ose, I. Emre},
  journal        = {Automatica},
  title          = {{R}obustness with dynamic {IQC}s: {A}n exact state-space characterization of nominal stability with applications to robust estimation},
  year           = {2008},
  issn           = {0005-1098},
  month          = {2008/7},
  number         = {7},
  pages          = {1666-1675},
  volume         = {44},
  endnotereftype = {Journal Article},
  file           = {http://www.sciencedirect.com/science/article/B6V21-4S09538-4/2/b53c713307192202777fe3a8466fff76:Djvu;SchKos08.pdf:Scherer\\SchKos08.pdf:PDF},
  keywords       = {IQC Dynamic multipliers Guaranteed stability LMI-based synthesis Robust estimation},
  owner          = {carsten},
  pdf            = {Scherer\SchKos08.pdf},
  shorttitle     = {Robustness with dynamic {IQC}s: An exact state-space characterization of nominal stability with applications to robust estimation},
  timestamp      = {2013.09.25},
}

@InProceedings{VeeKoe08,
  author         = {Veenman, J. and K\"{o}ro/u{g}lu, H. and Scherer, C. W.},
  booktitle      = {Proc. 47th IEEE Conf. Decision and Control},
  title          = {{A}n {IQC} {A}pproach to {R}obust {E}stimation against {P}erturbations of {S}moothly {T}ime-{V}arying {P}arameters},
  year           = {2008},
  address        = {Cancun, Mexico},
  pages          = {2533-2538},
  endnotereftype = {Conference Proceedings},
  file           = {VenKor08.pdf:VenKor08.pdf:PDF},
  keywords       = {iqc},
  owner          = {carsten},
  pdf            = {VenKor08.pdf},
  shorttitle     = {An {IQC} Approach to Robust Estimation against Perturbations of Smoothly Time-Varying Parameters},
  timestamp      = {2013.09.25},
}

@INPROCEEDINGS{WeiRol07,
  author = {Weiss, M. and Rol, M. and Falkena, W. and Scherer, C.},
  title = {{G}uidance performance analysis in the presence of model uncertainties},
  booktitle = {Collection of Technical Papers - AIAA Guidance, Navigation, and Control
	Conference 2007},
  year = {2007},
  volume = {5},
  pages = {4422-4433},
  note = {Export Date: 6 January 2009 Source: Scopus},
  endnotereftype = {Conference Proceedings},
  file = {http://www.scopus.com/scopus/inward/record.file?eid=2-s2.0-37249047386&partnerID=40},
  owner = {carsten},
  shorttitle = {Guidance performance analysis in the presence of model uncertainties},
  timestamp = {2013.09.25}
}

@INPROCEEDINGS{RieSch06,
  author = {Rieber, J. M. and Scherer, C. W. and Allgo\"ower, F.},
  title = {{R}obust $l_1$ performance analysis in face of parametric uncertainties},
  booktitle = {Proceedings of the IEEE Conference on Decision and Control},
  year = {2006},
  pages = {5826-5831},
  note = {Cited By (since 1996): 1 Export Date: 6 January 2009 Source: Scopus
	Art. No.: 4177555},
  endnotereftype = {Conference Proceedings},
  file = {http://www.scopus.com/scopus/inward/record.file?eid=2-s2.0-39649119373&partnerID=40},
  owner = {carsten},
  shorttitle = {Robust $l_1$ performance analysis in face of parametric uncertainties},
  timestamp = {2013.09.25}
}

@ARTICLE{SchHol06,
  author = {Scherer, C. W. and Hol, C. W.J.},
  title = {{M}atrix sum-of-squares relaxations for robust semi-definite programs},
  journal = {Math. program. Ser. {B}},
  year = {2006},
  volume = {107},
  pages = {189-211},
  endnotereftype = {Journal Article},
  file = {scherer/SchHol06.pdf::Djvu;SchHol06.pdf:Scherer\\SchHol06.pdf:PDF},
  owner = {carsten},
  pdf = {Scherer\SchHol06.pdf},
  shorttitle = {Matrix sum-of-squares relaxations for robust semi-definite programs},
  timestamp = {2013.09.25}
}

@InProceedings{SchKoe06,
  author         = {Scherer, C. W. and K\"ose, I.E.},
  booktitle      = {17th International Symposium on Mathematical Theory of Networks and Systems},
  title          = {{R}obust estimation with dynamic integral quadratic constraints},
  year           = {2006},
  address        = {Kyoto, Japan},
  editor         = {Yamamoto, Yutaka},
  endnotereftype = {Conference Proceedings},
  file           = {SchKos06.pdf::Djvu;SchKos06.pdf:Scherer\\SchKos06.pdf:PDF},
  keywords       = {Estimation iqc},
  owner          = {carsten},
  pdf            = {Scherer\SchKos06.pdf},
  shorttitle     = {Robust estimation with dynamic integral quadratic constraints},
  timestamp      = {2013.09.25},
}

@ARTICLE{Sch05,
  author = {Scherer, C. W.},
  title = {{R}elaxations for robust linear matrix inequality problems with verifications
	for exactness},
  journal = {SIAM Journal on Matrix Analysis and Applications},
  year = {2005},
  volume = {27},
  pages = {365-395},
  number = {2},
  endnotereftype = {Journal Article},
  file = {Sch05.pdf:Scherer\\Sch05.pdf:PDF},
  keywords = {robust},
  owner = {carsten},
  pdf = {Scherer\HolSch05.pdf},
  shorttitle = {Relaxations for robust linear matrix inequality problems with verifications
	for exactness},
  timestamp = {2013.09.25}
}

@Article{Sch05a,
  author         = {Scherer, C. W.},
  journal        = {submitted for publication},
  title          = {{C}onstructing {R}elaxations for {R}obust {L}inear {M}atrix {I}nequalities in {C}ontrol},
  year           = {2005},
  endnotereftype = {Journal Article},
  owner          = {carsten},
  shorttitle     = {Constructing Relaxations for Robust Linear Matrix Inequalities in Control},
  timestamp      = {2013.09.25},
}

@ARTICLE{WasWal05,
  author = {Wassink, M. G. and van de Wal, M. and Scherer, C. and Bosgra, O.},
  title = {{LPV} control for a wafer stage: beyond the theoretical solution},
  journal = {Control Engineering Practice},
  year = {2005},
  volume = {13},
  pages = {231-245},
  number = {2},
  month = {Feb},
  note = {875JN Times Cited:24 Cited References Count:35},
  abstract = {Although conventional PID-like SISO controllers are still most common
	in industry, there is a growing need for more advanced controller
	structures in order to comply with ever tighter performance requirements.
	In this paper we consider positioning devices in IC-manufacturing
	for which position-dependent plant dynamics are a performance limiting
	factor. We suggested to employ recently developed linear parameter
	varying (LPV) control techniques for designing position-dependent
	controllers that adapt themselves in order to achieve optimal closed-loop
	performance. Our main emphasis is on presenting a practical LPV design
	procedure which covers plant modeling, controller synthesis and actual
	implementation for an electromechanical positioning device, an advanced
	wafer-scanner. Our experimental results reveal that performance can
	be improved by LPV control if compared to a classical SISO design.
	We highlight a variety of troublesome aspects within the design cycle
	that lack a systematic theoretically founded solution and that limit
	the possible performance improvement achievable by LPV control. (C)
	2004 Elsevier Ltd. All rights reserved.},
  endnotereftype = {Journal Article},
  file = {<Go to ISI>://000225416500008},
  issn = {0967-0661},
  keywords = {position-dependent dynamics gain scheduling lpv modeling lpv synthesis
	feedback control servo systems motion control mechatronics h-infinity
	controllers gain identification systems design motion},
  owner = {carsten},
  shorttitle = {LPV control for a wafer stage: beyond the theoretical solution},
  timestamp = {2013.09.25}
}

@InProceedings{Sch04,
  author         = {Scherer, C. W.},
  booktitle      = {Proceedings MTNS 2004},
  title          = {{LMI} relaxations in robust control (tutorial)},
  year           = {2004},
  address        = {Leuven, Belgium},
  editor         = {B. De Moor, B. Motmans},
  endnotereftype = {Conference Proceedings},
  file           = {Sch04MTNS.pdf::Djvu;Sch04MTNS.pdf:Sch04MTNS.pdf:PDF},
  owner          = {carsten},
  pdf            = {HolSch04MTNS.pdf},
  shorttitle     = {{LMI} relaxations in robust control (tutorial)},
  timestamp      = {2013.09.25},
}

@Article{Sch04a,
  author         = {Scherer, C. W.},
  journal        = {IEEE T. Automat. Contr.},
  title          = {{R}eview of book "{M}atrix {R}iccati {E}quations in {C}ontrol and {S}ystems {T}heory"},
  year           = {2004},
  number         = {11},
  pages          = {2094- 2095},
  volume         = {49},
  endnotereftype = {Journal Article},
  file           = {Sch04tac.pdf},
  owner          = {carsten},
  shorttitle     = {Review of book "Matrix Riccati Equations in Control and Systems Theory"},
  timestamp      = {2013.09.25},
}

@TechReport{Sch04b,
  author         = {Scherer, C. W.},
  institution    = {Delft University of Technology},
  title          = {{O}nzekerheid onder controle},
  year           = {2004},
  address        = {Delft},
  type           = {Intreerede},
  endnotereftype = {Report},
  owner          = {carsten},
  shorttitle     = {Onzekerheid onder controle},
  timestamp      = {2013.09.25},
}

@ARTICLE{SchHol04,
  author = {Scherer, C. W. and Hol, C. W.J.},
  title = {{M}atrix {S}um-of-{S}quares {R}elaxations for {R}obust {S}emi-{D}efinite
	{P}rograms},
  journal = {submitted to Mathematical Programming, Series B},
  year = {2004},
  endnotereftype = {Journal Article},
  owner = {carsten},
  pdf = {Scherer\SchHol04MTNS.pdf},
  shorttitle = {Matrix Sum-of-Squares Relaxations for Robust Semi-Definite Programs},
  timestamp = {2013.09.25}
}

@InProceedings{SchHol04a,
  author         = {Scherer, C. W. and Hol, C. W.J.},
  booktitle      = {Proceedings MTNS 2004},
  title          = {{A}symptotically {E}xact {R}elaxations for {R}obust {LMI} {P}roblems based on {M}atrix-{V}alued {S}um-of-{S}quares},
  year           = {2004},
  address        = {Leuven, Belgium},
  editor         = {B. De Moor, B. Motmans},
  endnotereftype = {Conference Proceedings},
  file           = {SchHol04MTNS.pdf::Djvu;SchHol04MTNS.pdf:Scherer\\SchHol04MTNS.pdf:PDF},
  isbn           = {90-5682-517-8},
  owner          = {carsten},
  pdf            = {Scherer\SchHol04MTNS.pdf},
  shorttitle     = {Asymptotically Exact Relaxations for Robust {LMI} Problems based on Matrix-Valued Sum-of-Squares},
  timestamp      = {2013.09.25},
}

@InProceedings{VooBen04,
  author         = {Voorsluijs, G.M. and Bennani, S. and Scherer, C. W.},
  booktitle      = {AIAA Guidance, Navigation, and Control Conference and Exhibit},
  title          = {{L}inear and {P}arameter-{D}ependent {R}obust {C}ontrol {T}echniques applied to a {H}elicopter {UAV}},
  year           = {2004},
  address        = {Providence, Rhode Island},
  pages          = {12},
  endnotereftype = {Conference Proceedings},
  file           = {VooBen04.pdf},
  keywords       = {uav},
  owner          = {carsten},
  shorttitle     = {Linear and Parameter-Dependent Robust Control Techniques applied to a Helicopter {UAV}},
  timestamp      = {2013.09.25},
}

@INPROCEEDINGS{ZanSch04,
  author = {Zandvliet, M. and Scherer, C. W. and Hol, C. W.J. and van de Wal,
	M.},
  title = {{M}ulti-objective ${H}_\infty$ {C}ontrol {A}pplied to a {W}afer {S}tage
	{M}odel},
  booktitle = {Proc. 43rd IEEE Conf. Decision and Control},
  year = {2004},
  pages = {796-802},
  address = {Atlantis, Paradise Island, Bahamas},
  endnotereftype = {Conference Proceedings},
  owner = {carsten},
  shorttitle = {Multi-objective ${H}_\infty$ Control Applied to a Wafer Stage Model},
  timestamp = {2013.09.25}
}

@InProceedings{BasKha03,
  author         = {Basar, T. and Khargonekar, P.P. and Kokotovic, P.V. and Scherer, C. W.},
  booktitle      = {4th IFAC Symposium on Robust Control Design},
  title          = {{P}anel {D}iscussion "{W}itherto {R}obust {C}ontrol"},
  year           = {2003},
  address        = {Milano, Italy},
  endnotereftype = {Conference Proceedings},
  file           = {panel03rocond.PDF:Scherer\\panel03rocond.PDF:PDF},
  owner          = {carsten},
  shorttitle     = {Panel Discussion "Witherto Robust Control"},
  timestamp      = {2013.09.25},
}

@INPROCEEDINGS{Sch03,
  author = {Scherer, C. W.},
  title = {{T}esting the {E}xactness of {C}onvex {R}elaxations for {R}obust
	{LMI} {P}roblems},
  booktitle = {Proc. Appl. Math. Mech.},
  year = {2003},
  volume = {3},
  pages = {52-55},
  publisher = {Wiley},
  endnotereftype = {Conference Proceedings},
  file = {Sch03.pdf:Sch03.pdf:PDF},
  owner = {carsten},
  shorttitle = {Testing the Exactness of Convex Relaxations for Robust {LMI} Problems},
  timestamp = {2013.09.25}
}

@InProceedings{Sch03a,
  author         = {Scherer, C. W.},
  booktitle      = {Proc. 42nd IEEE Conf. Decision and Control},
  title          = {{H}igher-{O}rder {R}elaxations for {R}obust {LMI} {P}roblems with {V}erifications for {E}xactness},
  year           = {2003},
  address        = {Maui, Hawaii},
  pages          = {4652-4657},
  endnotereftype = {Conference Proceedings},
  keywords       = {relaxation},
  owner          = {carsten},
  shorttitle     = {Higher-Order Relaxations for Robust {LMI} Problems with Verifications for Exactness},
  timestamp      = {2013.09.25},
}

@InProceedings{Sch03b,
  author         = {Scherer, C. W.},
  booktitle      = {4th IFAC Symposium on Robust Control Design},
  title          = {{W}hen are multiplier relaxations exact?},
  year           = {2003},
  address        = {Milano, Italy},
  endnotereftype = {Conference Proceedings},
  file           = {scherer/sch03rocond.pdf},
  keywords       = {relaxation},
  owner          = {carsten},
  shorttitle     = {When are multiplier relaxations exact?},
  timestamp      = {2013.09.25},
}

@InProceedings{Sch02,
  author         = {Scherer, C. W.},
  booktitle      = {Proc. 15th {IFAC} World Congres},
  title          = {{R}obust {H}2-controller design under structured noise uncertainty},
  year           = {2002},
  address        = {Barcelona},
  pages          = {6 pages},
  endnotereftype = {Conference Proceedings},
  file           = {x:/Bibfiles/scherer/Sch02ifac.pdf},
  keywords       = {stochastic},
  owner          = {carsten},
  shorttitle     = {Robust H2-controller design under structured noise uncertainty},
  timestamp      = {2013.09.25},
}

@Article{Sch02a,
  author         = {Scherer, C. W.s},
  journal        = {Linear Alg. Appl.},
  title          = {{S}tructured finite-dimensional controller design by convex optimization},
  year           = {2002},
  month          = {August 2002},
  pages          = {639-669},
  volume         = {351-352},
  endnotereftype = {Journal Article},
  file           = {:Scherer/2000-2009/Sch02a.pdf:PDF},
  groups         = {carsten:3},
  keywords       = {structure},
  owner          = {carsten},
  shorttitle     = {Structured finite-dimensional controller design by convex optimization},
  timestamp      = {2013.09.25},
}

@INPROCEEDINGS{SchChe02,
  author = {Scherer, C. W. and Chen, H. and Allg\"ower, F.},
  title = {{D}isturbance attenuation with actuator constraints by hybrid state-feedback
	control},
  booktitle = {Proc. 41th IEEE Conf. Decision and Control},
  year = {2002},
  pages = {4134-4139},
  address = {Las Vegas, Nevada, USA},
  endnotereftype = {Conference Proceedings},
  file = {x:/Bibfiles/scherer/SchChe02.pdf:Djvu;SchChe02.pdf:Scherer\\SchChe02.pdf:PDF},
  keywords = {hybrid constraints},
  owner = {carsten},
  pdf = {Scherer\SchChe02.pdf},
  shorttitle = {Disturbance attenuation with actuator constraints by hybrid state-feedback
	control},
  timestamp = {2013.09.25}
}

@ARTICLE{Sch01,
  author = {Scherer, C. W.},
  title = {{LPV} {C}ontrol and full block multipliers},
  journal = {Automatica},
  year = {2001},
  volume = {37},
  pages = {361-375},
  endnotereftype = {Journal Article},
  file = {Sch01.pdf:People\\Sch01.pdf:PDF;Sch01.pdf:Scherer\\Sch01.pdf:PDF},
  keywords = {lpv},
  owner = {carsten},
  pdf = {People\Sch01.pdf},
  shorttitle = {{LPV} Control and Full Block Multipliers},
  timestamp = {2013.09.25}
}

@InProceedings{Sch01a,
  author         = {Scherer, C. W.},
  booktitle      = {European Control Conf.},
  title          = {{O}n the design of structured controllers},
  year           = {2001},
  address        = {Porto, Portugal},
  pages          = {6 pages},
  endnotereftype = {Conference Proceedings},
  owner          = {carsten},
  shorttitle     = {On the design of structured controllers},
  timestamp      = {2013.09.25},
}

@INCOLLECTION{Sch01b,
  author = {Scherer, C. W.},
  title = {{M}ulti-objective control without {Y}oula parameterization},
  booktitle = {Perspectives in robust control},
  publisher = {Springer-Verlag},
  year = {2001},
  editor = {Moheimani, S.O.R},
  volume = {256},
  series = {Lecture Notes in Control and Information Sciences},
  pages = {311-325},
  address = {London},
  endnotereftype = {Book Section},
  file = {x:/Bibfiles/scherer/Sch01b.ps:Djvu;Sch01b.ps:Scherer\\Sch01b.ps:PostScript},
  owner = {carsten},
  shorttitle = {Multi-objective control without {Y}oula parameterization},
  timestamp = {2013.09.25}
}

@TechReport{Sch01c,
  author         = {Scherer, C. W.},
  institution    = {Mechanical Engineering Systems and Control Group},
  title          = {{M}anual for {LPV}-tools, version 1.0},
  year           = {2001},
  address        = {Delft},
  endnotereftype = {Report},
  owner          = {carsten},
  shorttitle     = {Manual for {LPV}-tools, version 1.0},
  timestamp      = {2013.09.25},
}

@TECHREPORT{SchWei01,
  author = {Scherer, C. W. and van der Weiden, A.J.J.},
  title = {{F}inal {P}roject {R}eport: {R}obust powertrain controller design
	(confidential)},
  institution = {Delft University of Technology},
  year = {2001},
  address = {Delft},
  note = {Industrial project with Reginov, Renault, Paris},
  endnotereftype = {Report},
  owner = {carsten},
  shorttitle = {Final Project Report: Robust powertrain controller design (confidential)},
  timestamp = {2013.09.25}
}

@ARTICLE{Sch00,
  author = {Scherer, C. W.},
  title = {{R}eview of {B}ook "${H}_\infty$ {C}ontrol and {I}ts {A}pplications"
	by {B}en {M}. {C}hen},
  journal = {Automatica},
  year = {2000},
  volume = {36},
  pages = {1247-1248},
  endnotereftype = {Journal Article},
  owner = {carsten},
  pdf = {DetSch00.pdf},
  shorttitle = {Review of Book "$H_\infty$ Control and Its Applications" by Ben M.
	Chen},
  timestamp = {2013.09.25}
}

@Article{Sch00scl,
  author         = {Scherer, C. W.},
  journal        = {Syst. Contr. Letters},
  title          = {{A}n efficient solution to multi-objective control problems with {LMI} objectives},
  year           = {2000},
  number         = {1},
  pages          = {43-57},
  volume         = {40},
  endnotereftype = {Journal Article},
  file           = {:Scherer/2000-2009/Sch00scl.pdf:PDF},
  owner          = {carsten},
  pdf            = {Scherer\Sch00scl.pdf},
  shorttitle     = {An Efficient Solution to Multi-Objective Control Problems with {LMI} Objectives},
  timestamp      = {2013.09.25},
}

@InProceedings{Sch00b,
  author         = {Scherer, C. W.},
  booktitle      = {Proc. 39th IEEE Conf. Decision and Control},
  title          = {{D}esign of {S}tructured {C}ontrollers with {A}pplications},
  year           = {2000},
  address        = {Sydney, Australia},
  endnotereftype = {Conference Proceedings},
  file           = {:Scherer/2000-2009/Sch00b.pdf:PDF},
  groups         = {SchEbe20},
  owner          = {carsten},
  shorttitle     = {Design of Structured Controllers with Applications},
  timestamp      = {2013.09.25},
}

@InProceedings{Sch00c,
  author         = {Scherer, C. W.},
  booktitle      = {3rd {IFAC} Symposium on Robust Control Design},
  title          = {{R}obust controller design by output feedback against uncertain stochastic disturbances},
  year           = {2000},
  address        = {Prague},
  pages          = {6 pages},
  endnotereftype = {Conference Proceedings},
  file           = {x:/Bibfiles/scherer/sch00rocond.pdf:Djvu;Sch00rocond.pdf:Scherer\\Sch00rocond.pdf:PDF},
  owner          = {carsten},
  pdf            = {Scherer\Sch00rocond.pdf},
  shorttitle     = {Robust controller design by output feedback against uncertain stochastic disturbances},
  timestamp      = {2013.09.25},
}

@InCollection{Sch00siam,
  author         = {Scherer, C. W.},
  booktitle      = {Advances in Linear Matrix Inequality Methods in Control},
  publisher      = {SIAM},
  title          = {{R}obust {M}ixed {C}ontrol and {LPV} {C}ontrol with {F}ull {B}lock {S}calings},
  year           = {2000},
  address        = {Philadelphia},
  editor         = {{El~Ghaoui}, L. and Niculescu, S.I.},
  pages          = {187-207},
  endnotereftype = {Book Section},
  file           = {:Scherer/2000-2009/Sch00siam.pdf:PDF},
  groups         = {SchEbe20},
  owner          = {carsten},
  pdf            = {Scherer\Sch00siam.pdf},
  shorttitle     = {Robust Mixed Control and {LPV} Control with Full Block Scalings},
  timestamp      = {2013.09.25},
}

@InProceedings{Sch99,
  author         = {Scherer, C. W.},
  booktitle      = {Proc. 38th IEEE Conf. Decision and Control},
  title          = {{F}rom {M}ixed to {M}ulti-{O}bjective {C}ontrol},
  year           = {1999},
  address        = {Phoenix, Arizona},
  pages          = {3621-3626},
  endnotereftype = {Conference Proceedings},
  owner          = {carsten},
  shorttitle     = {From Mixed to Multi-Objective Control},
  timestamp      = {2013.09.25},
}

@InProceedings{Sch99a,
  author         = {Scherer, C. W.},
  booktitle      = {Proc. 38th IEEE Conf. Decision and Control},
  title          = {{L}ower {B}ounds in {M}ulti-{O}bjective {$H_2/H_\infty$} {P}roblems},
  year           = {1999},
  address        = {Phoenix, Arizona},
  pages          = {3605-3610},
  endnotereftype = {Conference Proceedings},
  file           = {x:/Bibfiles/Sch99b.pdf:Djvu;Sch99b.pdf:Scherer\\1990-1999\\Sch99b.pdf:PDF},
  owner          = {carsten},
  pdf            = {Scherer\1990-1999\Sch99b.pdf},
  shorttitle     = {Lower Bounds in Multi-Objective {$H_2/H_\infty$} Problems},
  timestamp      = {2013.09.25},
}

@InProceedings{Sch98,
  author         = {Scherer, C. W.},
  booktitle      = {Proc. 37th IEEE Conf. Decision and Control},
  title          = {{R}obust {P}erformance {A}nalysis for {P}arameter {D}ependent {S}ystems {U}sing {T}ensor {P}roduct {S}plines},
  year           = {1998},
  address        = {Tampa, Fl},
  pages          = {2216-2221},
  endnotereftype = {Conference Proceedings},
  file           = {Sch98cdc.ps:Scherer\\1990-1999\\Sch98cdc.ps:PostScript},
  owner          = {carsten},
  shorttitle     = {Robust Performance Analysis for Parameter Dependent Systems Using Tensor Product Splines},
  timestamp      = {2013.09.25},
}

@ARTICLE{RicSch97,
  author = {Ricci, T. F. and Scherer, C.},
  title = {{L}inear response and stochastic resonance of superparamagnets},
  journal = {Journal of Statistical Physics},
  year = {1997},
  volume = {86},
  pages = {803-819},
  number = {3-4},
  month = {Feb},
  note = {Wk517 Times Cited:9 Cited References Count:18},
  abstract = {The standard mathematical expression for the response functions of
	the linear response theory for Markovian stochastic systems, constructed
	from the corresponding Fokker-Planck equation, is transformed into
	an expression which is very suitable for numerical simulations. The
	method is applied to a stochastic model for superparamagnetism presented
	previously by the authors. For convenient values of the parameters
	the model shows the phenomenon of stochastic resonance.},
  endnotereftype = {Journal Article},
  file = {<Go to ISI>://A1997WK51700012},
  issn = {0022-4715},
  keywords = {stochastic processes linear response superparamagnetism monodomain
	stochastic resonance},
  owner = {carsten},
  shorttitle = {Linear response and stochastic resonance of superparamagnets},
  timestamp = {2013.09.25}
}

@Article{Sch97,
  author         = {Scherer, C. W.},
  journal        = {Automatisierungstechnik},
  title          = {{Lineare Matrixungleichungen in der Theorie der robusten Regelung}},
  year           = {1997},
  pages          = {306-318},
  volume         = {7},
  endnotereftype = {Journal Article},
  owner          = {carsten},
  shorttitle     = {{Lineare Matrixungleichungen in der Theorie der robusten Regelung}},
  timestamp      = {2013.09.25},
}

@InProceedings{Sch97a,
  author         = {Scherer, C. W.},
  booktitle      = {Proc. 36th IEEE Conf. Decision and Control},
  title          = {{A} {F}ull {B}lock {S}-{P}rocedure with {A}pplications},
  year           = {1997},
  address        = {San Diego, CA},
  pages          = {1510-1515},
  endnotereftype = {Conference Proceedings},
  file           = {Sch97.ps},
  owner          = {carsten},
  shorttitle     = {A Full Block {S}-Procedure with Applications},
  timestamp      = {2013.09.25},
}

@InProceedings{Sch97b,
  author         = {Scherer, C. W.},
  booktitle      = {European Control Conf.},
  title          = {{P}ositive definite solutions of the nonstrict {L}yapunov inequality},
  year           = {1997},
  address        = {Brussels, Belgium},
  pages          = {6},
  endnotereftype = {Conference Proceedings},
  owner          = {carsten},
  shorttitle     = {Positive definite solutions of the nonstrict {L}yapunov inequality},
  timestamp      = {2013.09.25},
}

@INPROCEEDINGS{SchBen97,
  author = {Scherer, C. W. and Bennani, S. and Nijo, E.},
  title = {{P}arametrically {V}arying {F}light {C}ontrol {S}ystem {D}esign with
	{F}ull {B}lock {S}calings},
  booktitle = {Proc. 36th IEEE Conf. Decision and Control},
  year = {1997},
  pages = {1510-1515},
  address = {San Diego, CA},
  endnotereftype = {Conference Proceedings},
  owner = {carsten},
  shorttitle = {Parametrically Varying Flight Control System Design with Full Block
	Scalings},
  timestamp = {2013.09.25}
}

@ARTICLE{Sch96,
  author = {Scherer, C. W.},
  title = {{M}ixed {$H_2/H_\infty$} control for time-varying and linear parametrically-varying
	systems},
  journal = {Int. J. Robust Nonlin.},
  year = {1996},
  volume = {6},
  pages = {929-952},
  endnotereftype = {Journal Article},
  file = {Sch96.ps:Scherer\\1990-1999\\Sch96.ps:PostScript},
  owner = {carsten},
  pdf = {Scherer\1990-1999\Sch96cdc.pdf},
  shorttitle = {Mixed {$H_2/H_\infty$} control for time-varying and linear parametrically-varying
	systems},
  timestamp = {2013.09.25}
}

@InProceedings{Sch96a,
  author         = {Scherer, C. W.},
  booktitle      = {Proc. 35th IEEE Conf. Decision and Control},
  title          = {{R}obust generalized {$H_2$} control for uncertain and {LPV} systems with general scalings},
  year           = {1996},
  address        = {Kobe, Japan},
  pages          = {3970-3975},
  endnotereftype = {Conference Proceedings},
  file           = {Sch96cdc.pdf::Djvu;Sch96cdc.pdf:Scherer\\1990-1999\\Sch96cdc.pdf:PDF},
  owner          = {carsten},
  pdf            = {Scherer\1990-1999\Sch96cdc.pdf},
  shorttitle     = {Robust generalized {$H_2$} control for uncertain and {LPV} systems with general scalings},
  timestamp      = {2013.09.25},
}

@InProceedings{Sch95,
  author         = {Scherer, C. W.},
  booktitle      = {Proc. 34th IEEE Conf. Decision and Control},
  title          = {{M}ixed {$H_2/H_\infty$} control for linear parametrically-varying systems},
  year           = {1995},
  address        = {New Orleans, LO},
  pages          = {3182-3187},
  endnotereftype = {Conference Proceedings},
  owner          = {carsten},
  shorttitle     = {Mixed {$H_2/H_\infty$} control for linear parametrically-varying systems},
  timestamp      = {2013.09.25},
}

@Article{Sch95a,
  author         = {Scherer, C. W.},
  journal        = {Linear Alg. Appl.},
  title          = {{T}he general nonstrict algebraic {Riccati} inequality},
  year           = {1995},
  pages          = {1-33},
  volume         = {219},
  endnotereftype = {Journal Article},
  file           = {:Scherer/1990-1999/Sch95a.pdf:PDF},
  owner          = {carsten},
  shorttitle     = {The general nonstrict algebraic {Riccati} inequality},
  timestamp      = {2013.09.25},
}

@InCollection{Sch95b,
  author         = {Scherer, C. W.},
  booktitle      = {Trends in Control, A European Prospective},
  publisher      = {Springer-Verlag},
  title          = {{M}ixed {$H_2/H_\infty$} control},
  year           = {1995},
  address        = {New York},
  editor         = {Isidori, A.},
  pages          = {173-216},
  endnotereftype = {Book Section},
  file           = {x:/bibfile/Sch95mix.pdf:Djvu;Sch95mix.pdf:Scherer\\1990-1999\\Sch95mix.pdf:PDF},
  owner          = {carsten},
  pdf            = {Scherer\1990-1999\Sch95mix.pdf},
  shorttitle     = {Mixed {$H_2/H_\infty$} control},
  timestamp      = {2013.09.25},
}

@Article{Sch95c,
  author         = {Scherer, C. W.},
  journal        = {IEEE T. Automat. Contr.},
  title          = {{M}ultiobjective {$H_2/H_\infty$} control},
  year           = {1995},
  pages          = {1054-1062},
  volume         = {40},
  endnotereftype = {Journal Article},
  file           = {scherer/Sch95tac.pdf},
  owner          = {carsten},
  shorttitle     = {Multiobjective {$H_2/H_\infty$} control},
  timestamp      = {2013.09.25},
}

@Article{Sch95d,
  author         = {Scherer, C. W.},
  journal        = {Syst. Contr. Letters},
  title          = {{A} complete algebraic solvability test for the nonstrict {L}yapunov inequality},
  year           = {1995},
  pages          = {327-335},
  volume         = {25},
  endnotereftype = {Journal Article},
  file           = {Sch95scl.pdf:Scherer\\Sch95scl.pdf:PDF},
  owner          = {carsten},
  shorttitle     = {A complete algebraic solvability test for the nonstrict {L}yapunov inequality},
  timestamp      = {2013.09.25},
}

@Article{Sch95e,
  author         = {Scherer, C. W.},
  journal        = {SIAM J. Matrix Analysis},
  title          = {{T}he algebraic {Riccati} equation and inequality for systems with uncontrollable modes on the imaginary axis},
  year           = {1995},
  number         = {4},
  pages          = {1308-1327},
  volume         = {16},
  endnotereftype = {Journal Article},
  file           = {scherer/Sch95simax.ps::Djvu;Sch95simax.ps:Scherer\\1990-1999\\Sch95simax.ps:PostScript;Sch95simax.pdf:Scherer\\1990-1999\\Sch95simax.pdf:PDF},
  owner          = {carsten},
  pdf            = {Scherer\1990-1999\Sch95simax.pdf},
  shorttitle     = {The algebraic {Riccati} equation and inequality for systems with uncontrollable modes on the imaginary axis},
  timestamp      = {2013.09.25},
}

@ARTICLE{Sch94,
  author = {Scherer, C. W.},
  title = {{T}he state-feedback {$H_\infty$}-problem at optimality},
  journal = {Automatica},
  year = {1994},
  volume = {30},
  pages = {293-305},
  number = {2},
  endnotereftype = {Journal Article},
  owner = {carsten},
  shorttitle = {The state-feedback {$H_\infty$}-problem at optimality},
  timestamp = {2013.09.25}
}

@InProceedings{Sch94a,
  author         = {Scherer, C. W.},
  booktitle      = {Proc. 33rd IEEE Conf. Decision and Control},
  title          = {{A}lgebraic solvability tests for the nonstrict {L}yapunov inequality},
  year           = {1994},
  address        = {Orlando, FL},
  pages          = {1505-1510},
  endnotereftype = {Conference Proceedings},
  owner          = {carsten},
  shorttitle     = {Algebraic solvability tests for the nonstrict {L}yapunov inequality},
  timestamp      = {2013.09.25},
}

@InProceedings{Sch94b,
  author         = {Scherer, C. W.},
  booktitle      = {Proceedings MTNS},
  title          = {{T}he nonstrict algebraic {Riccati} inequality},
  year           = {1994},
  address        = {Regensburg, Germany},
  pages          = {461-464},
  endnotereftype = {Conference Proceedings},
  owner          = {carsten},
  shorttitle     = {The nonstrict algebraic {Riccati} inequality},
  timestamp      = {2013.09.25},
}

@InProceedings{Sch93,
  author         = {Scherer, C. W.},
  booktitle      = {Proc. 32nd IEEE Conf. Decision and Control},
  title          = {{A}lgebraic solvability tests for linear matrix inequalities},
  year           = {1993},
  address        = {San Antonio, TX},
  pages          = {349-354},
  endnotereftype = {Conference Proceedings},
  owner          = {carsten},
  shorttitle     = {Algebraic solvability tests for linear matrix inequalities},
  timestamp      = {2013.09.25},
}

@InProceedings{Sch93a,
  author         = {Scherer, C. W.},
  booktitle      = {European Control Conf.},
  title          = {{T}he parametrization of static state-feedback {$H_\infty$}-controllers},
  year           = {1993},
  address        = {Groningen, The Netherlands},
  pages          = {1166-1170},
  endnotereftype = {Conference Proceedings},
  owner          = {carsten},
  shorttitle     = {The parametrization of static state-feedback {$H_\infty$}-controllers},
  timestamp      = {2013.09.25},
}

@ARTICLE{RicSch92,
  author = {Ricci, T. F. and Scherer, C.},
  title = {{A} {S}tochastic-{M}odel for the {D}ynamics of a {C}lassical {S}pin},
  journal = {Journal of Statistical Physics},
  year = {1992},
  volume = {67},
  pages = {1201-1208},
  number = {5-6},
  month = {Jun},
  note = {Jc176 Times Cited:4 Cited References Count:13},
  abstract = {A stochastic model for the dynamics of a macroscopic or classical
	spin based on a classical generalized Lagrangian formalism is proposed.
	The model can be used to describe the evolution of the magnetic moment
	of superparamagnetic particles. In this sense, it is a generalization
	of the model proposed by Brown, allowing for fluctuations on the
	magnitudes of the magnetic moments of the particles. The corresponding
	covariant Fokker-Planck equation is also obtained.},
  endnotereftype = {Journal Article},
  file = {<Go to ISI>://A1992JC17600012},
  issn = {0022-4715},
  keywords = {superparamagnetism stochastic process classical spin brownian motion},
  owner = {carsten},
  shorttitle = {A Stochastic-Model for the Dynamics of a Classical Spin},
  timestamp = {2013.09.25}
}

@Article{Sch92a,
  author         = {Scherer, C. W.},
  journal        = {SIAM J. Contr. Optim.},
  title          = {{$H_\infty$}-control by state-feedback for plants with zeros on the imaginary axis},
  year           = {1992},
  pages          = {123-142},
  volume         = {30},
  endnotereftype = {Journal Article},
  owner          = {carsten},
  shorttitle     = {{$H_\infty$}-control by state-feedback for plants with zeros on the imaginary axis},
  timestamp      = {2013.09.25},
}

@Article{Sch92b,
  author         = {Scherer, C. W.},
  journal        = {SIAM J. Contr. Optim.},
  title          = {{$H_\infty$}-optimization without assumptions on finite or infinite zeros},
  year           = {1992},
  pages          = {143-166},
  volume         = {30},
  endnotereftype = {Journal Article},
  owner          = {carsten},
  shorttitle     = {{$H_\infty$}-optimization without assumptions on finite or infinite zeros},
  timestamp      = {2013.09.25},
}

@ARTICLE{Sch91,
  author = {Scherer, C. W.},
  title = {{T}he solution set of the algebraic {Riccati} equation and the algebraic
	{Riccati} inequality},
  journal = {Linear Alg. Appl.},
  year = {1991},
  volume = {153},
  pages = {99-122},
  endnotereftype = {Journal Article},
  file = {sch91b.pdf::Djvu;Sch91.pdf:Scherer\\1990-1999\\Sch91.pdf:PDF},
  owner = {carsten},
  pdf = {Scherer\1990-1999\Sch91.pdf},
  shorttitle = {The solution set of the algebraic {Riccati} equation and the algebraic
	{Riccati} inequality},
  timestamp = {2013.09.25}
}

@PhdThesis{Sch91a,
  author         = {Scherer, C.},
  school         = {Bayerische Julius-Maximilians Universit\"at W\"urzburg},
  title          = {{T}he {R}iccati inequality and state-space ${H}_\infty$-optimal control},
  year           = {1991},
  endnotereftype = {Thesis},
  file           = {Sch91diss.pdf:Scherer\\1990-1999\\Sch91diss.pdf:PDF;Sch91diss.pdf:Scherer\\Sch91diss.pdf:PDF;Sch91diss.ps:Scherer\\1990-1999\\Sch91diss.ps:PostScript},
  owner          = {carsten},
  shorttitle     = {The Riccati inequality and state-space $H_\infty$-optimal control},
  timestamp      = {2013.09.25},
}

@ARTICLE{Sch90,
  author = {Scherer, C. W.},
  title = {{$H_\infty$}-control by state-feedback and fast algorithms for the
	computation of optimal {$H_\infty$}-norms},
  journal = {IEEE T. Automat. Contr.},
  year = {1990},
  volume = {35},
  pages = {1090-1099},
  number = {10},
  endnotereftype = {Journal Article},
  file = {Sch90.pdf:Scherer\\1990-1999\\Sch90.pdf:PDF},
  owner = {carsten},
  pdf = {Scherer\1990-1999\Sch90.pdf},
  shorttitle = {{$H_\infty$}-control by state-feedback and fast algorithms for the
	computation of optimal {$H_\infty$}-norms},
  timestamp = {2013.09.25}
}

@ARTICLE{Sch89,
  author = {Scherer, C. W.},
  title = {{$H_\infty$}-control by state-feedback: an iterative algorithm and
	characterization of high-gain occurrence},
  journal = {Syst. Control Lett.},
  year = {1989},
  volume = {12},
  pages = {383--391},
  endnotereftype = {Journal Article},
  owner = {carsten},
  shorttitle = {{$H_\infty$}-control by state-feedback: an iterative algorithm and
	characterization of high-gain occurrence},
  timestamp = {2013.09.25}
}

@ARTICLE{Sch89a,
  author = {Scherer, C.},
  title = {{H}-{I}nfinity-{C}ontrol by {S}tate {F}eedback - an {I}terative {A}lgorithm
	and {C}haracterization of {H}igh-{G}ain {O}ccurrence},
  journal = {Syst. Contr. Letters},
  year = {1989},
  volume = {12},
  pages = {383-391},
  number = {5},
  month = {Jun},
  note = {Ae907 Times Cited:14 Cited References Count:8},
  endnotereftype = {Journal Article},
  file = {<Go to ISI>://A1989AE90700001},
  issn = {0167-6911},
  owner = {carsten},
  shorttitle = {H-Infinity-Control by State Feedback - an Iterative Algorithm and
	Characterization of High-Gain Occurrence},
  timestamp = {2013.09.25}
}

@ARTICLE{Sch88,
  author = {Scherer, C. W.},
  title = {{A}lmost disturbance decoupling with stability by dynamic output
	feedback: {A} sufficient condition},
  journal = {Syst. Control Lett.},
  year = {1988},
  volume = {10},
  pages = {291-299},
  endnotereftype = {Journal Article},
  owner = {carsten},
  shorttitle = {Almost disturbance decoupling with stability by dynamic output feedback:
	A sufficient condition},
  timestamp = {2013.09.25}
}

@InProceedings{RotMir,
  author         = {Rotstein, H. and Mirkin, L.},
  title          = {{O}n static feedback for the {$l_1$} and other optimal control problems},
  editor         = {f},
  endnotereftype = {Conference Proceedings},
  shorttitle     = {On static feedback for the {$l_1$} and other optimal control problems},
  timestamp      = {2020-08-21},
}

@Article{VeeSch15,
  author    = {J. Veenman and C.W. Scherer},
  journal   = ejc,
  title     = {{R}obust stability and performance analysis with integral quadratic constraints},
  year      = {2015},
  date      = {submitted},
  file      = {VeeSch13.pdf:Scherer\\VeeSch13.pdf:PDF},
  owner     = {carsten},
  timestamp = {2013.04.21},
}

@InProceedings{PatBam11a,
  author         = {Patterson, S. and Bamieh, B.},
  booktitle      = {Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on},
  title          = {{N}etwork coherence in fractal graphs},
  year           = {2011},
  month          = {12-15 Dec. 2011},
  pages          = {6445-6450},
  endnotereftype = {Conference Proceedings},
  isbn           = {0743-1546},
  keywords       = {coherence distributed algorithms fractals multi-agent systems trees (mathematics) H<sub>2</sub> norm asymptotic expressions consensus value distributed consensus algorithm first-order systems fractal graphs fractal networks global mean first passage time network coherence network dimension network size networks coherence random walk second-order consensus algorithm second-order systems tree-like structures},
  shorttitle     = {Network coherence in fractal graphs},
  timestamp      = {2020-08-21},
}

@Book{Rot11a,
  editor         = {Rotkowitz, M.},
  publisher      = {CRC Press},
  title          = {{D}ecentralized control and algebraic approaches},
  year           = {2011},
  address        = {Boca Ration},
  series         = {The control handbook second edition},
  endnotereftype = {Edited Book},
  file           = {74:74:PDF},
  shorttitle     = {Decentralized control and algebraic approaches},
  timestamp      = {2020-08-21},
}

@InProceedings{PatBam10a,
  author         = {Patterson, S. and Bamieh, B.},
  booktitle      = {Decision and Control (CDC), 2010 49th IEEE Conference on},
  title          = {{L}eader selection for optimal network coherence},
  year           = {2010},
  month          = {15-17 Dec. 2010},
  pages          = {2692-2697},
  endnotereftype = {Conference Proceedings},
  isbn           = {0743-1546},
  keywords       = {eigenvalues and eigenfunctions matrix algebra multi-agent systems optimisation stochastic processes H<sub>2</sub> norm Laplacian matrix eigenvalues greedy algorithm leader selection leader-based distributed coordination optimal network coherence optimization problem principal submatrix stochastic disturbance},
  shorttitle     = {Leader selection for optimal network coherence},
  timestamp      = {2020-08-21},
}

@InProceedings{Rot10a,
  author         = {Rotkowitz, M. C.},
  booktitle      = {Decision and Control (CDC), 2010 49th IEEE Conference on},
  title          = {{P}arametrization of all stabilizing controllers subject to any structural constraint},
  year           = {2010},
  month          = {15-17 Dec. 2010},
  pages          = {108-113},
  endnotereftype = {Conference Proceedings},
  isbn           = {0743-1546},
  keywords       = {control system synthesis decentralised control optimal control stability convex function decentralized controller design single quadratic equality constraint stabilizing controllers structural constraint},
  shorttitle     = {Parametrization of all stabilizing controllers subject to any structural constraint},
  timestamp      = {2020-08-21},
}

@InProceedings{SanJi10,
  author         = {Sanam, M. B. and Ji-Woong, Lee},
  booktitle      = {Proc. American Control Conf.},
  title          = {{O}n stability characterization of discrete-time piecewise linear systems},
  year           = {2010},
  month          = {June 30 2010-July 2 2010},
  pages          = {916-921},
  endnotereftype = {Conference Proceedings},
  isbn           = {0743-1619},
  keywords       = {discrete time systems linear systems piecewise linear techniques sequences stability state-space methods discrete time piecewise linear system finite number periodic switching sequence stability characterization state space partition},
  shorttitle     = {On stability characterization of discrete-time piecewise linear systems},
  timestamp      = {2020-08-21},
}

@InProceedings{SabMar09a,
  author         = {Sabau, S. and Martins, N. C.},
  booktitle      = {Proc. American Control Conf.},
  title          = {{A} convex parameterization of all stabilizing controllers for non-strongly stabilizable plants under quadratically invariant sparsity constraints},
  year           = {2009},
  month          = {10-12 June 2009},
  pages          = {878-883},
  endnotereftype = {Conference Proceedings},
  isbn           = {0743-1619},
  keywords       = {control system synthesis convex programming decentralised control linear systems optimal control stability Youla parameter convex parameterization linear plant nonstrongly stabilizable plant controller design norm-based cost optimal decentralized control systems design optimization quadratic invariant sparsity constraint time-invariant plant},
  shorttitle     = {A convex parameterization of all stabilizing controllers for non-strongly stabilizable plants under quadratically invariant sparsity constraints},
  timestamp      = {2020-08-21},
}

@InProceedings{SerFer09a,
  author         = {Serra, G. L. O. and Ferreira, C. C. T.},
  booktitle      = {Computational Intelligence in Robotics and Automation (CIRA), 2009 IEEE International Symposium on},
  title          = {{T}akagi-{S}ugeno fuzzy control method for nonlinear systems},
  year           = {2009},
  month          = {15-18 Dec. 2009},
  pages          = {492-496},
  endnotereftype = {Conference Proceedings},
  keywords       = {compensation control system analysis control system synthesis frequency-domain analysis fuzzy control linear systems nonlinear control systems robust control three-term control transfer functions PID structure Takagi-Sugeno fuzzy control method convex polytope frequency domain fuzzy Takagi-Sugeno structure gain margin specification linear parameters varying systems linear submodels mathematical formulation nonlinear systems parallel distributed compensation strategy phase margins specification robust PID subcontrollers robust fuzzy Takagi-Sugeno control robust stability conditions transfer function},
  shorttitle     = {Takagi-Sugeno fuzzy control method for nonlinear systems},
  timestamp      = {2020-08-21},
}

@Misc{KulKot08b,
  author         = {Kulkami, V.V. and Kothare, M.V. and Safonov, M.G.},
  title          = {{S}tabilizing {A}nti-{W}indup {C}ontrollers for {P}ower {A}llocation in {C}ellular {N}etworks},
  year           = {2008},
  endnotereftype = {Generic},
  file           = {KulKot08.pdf::Djvu;KulKot08.pdf:KulKot08.pdf:PDF;KulKot08.pdf:KulKot08.pdf:PDF},
  shorttitle     = {Stabilizing Anti-Windup Controllers for Power Allocation in Cellular Networks},
  timestamp      = {2020-08-21},
}

@InProceedings{PatBam08a,
  author         = {Patterson, S. and Bamieh, B.},
  booktitle      = {Communication, Control, and Computing, 2008 46th Annual Allerton Conference on},
  title          = {{D}istributed consensus with link failures as a structured stochastic uncertainty problem},
  year           = {2008},
  month          = {23-26 Sept. 2008},
  pages          = {623-627},
  endnotereftype = {Conference Proceedings},
  keywords       = {convergence discrete time systems distributed control mean square error methods stochastic systems telecommunication links circulant graphs discrete-time linear system distributed consensus link failures mean square stability multiplicative random coefficients networked consensus node convergence nominal system random communication structured stochastic uncertainty problem time-varying stochastic uncertainty},
  shorttitle     = {Distributed consensus with link failures as a structured stochastic uncertainty problem},
  timestamp      = {2020-08-21},
}

@InProceedings{YuLGua08,
  author         = {Yu-Long, Wang and Guang-Hong, Yang},
  booktitle      = {Control and Decision Conference, 2008. CCDC 2008. Chinese},
  title          = {{S}tate feedback ${H}_\infty$ control of networked control systems with passive time-varying sampling period},
  year           = {2008},
  month          = {2-4 July 2008},
  pages          = {307-312},
  endnotereftype = {Conference Proceedings},
  keywords       = {H<sup>infin</sup> control control system synthesis delay systems distributed parameter systems state feedback time-varying systems H<sub>infin</sub> control LMI constraints controller design networked control systems passive time-varying sampling period},
  shorttitle     = {State feedback H<inf>&#x221E;</inf> control of networked control systems with passive time-varying sampling period},
  timestamp      = {2020-08-21},
}

@InProceedings{SubSmi07c,
  author         = {Subbotin, M. V. and Smith, R. S.},
  booktitle      = {Proc. American Control Conf.},
  title          = {{D}istributed {E}stimator {D}esign for a {F}ormation with {M}arkovian {C}ommunication {T}opology},
  year           = {2007},
  month          = {9-13 July 2007},
  pages          = {5046-5051},
  endnotereftype = {Conference Proceedings},
  isbn           = {0743-1619},
  keywords       = {Markov processes control system synthesis decentralised control linear matrix inequalities optimisation Markovian communication topology convex optimization problem digital unidirectional links distributed estimator design synthesis problem},
  shorttitle     = {Distributed Estimator Design for a Formation with Markovian Communication Topology},
  timestamp      = {2020-08-21},
}

@Article{WilTak07a,
  author         = {Willems, J.C. and Takaba, K.},
  journal        = {International Journal of Robust and Nonlinear Control},
  title          = {{D}issipativity and stability of interconnections},
  year           = {2007},
  month          = {2007///},
  note           = {TY - JOUR Export Date: 15 October 2007 Source: Scopus},
  number         = {5-6},
  pages          = {563-586},
  volume         = {17},
  endnotereftype = {Journal Article},
  shorttitle     = {Dissipativity and stability of interconnections},
  timestamp      = {2020-08-21},
}

@InProceedings{GA�SzA02,
  author         = {Gáspár, P. and Szászi, I. and Bokor, J.},
  booktitle      = {15th {IFAC} World Congres},
  title          = {{D}esign of {R}obust {C}ontrollers for {A}ctive {V}ehicle {S}uspensions},
  year           = {2002},
  address        = {Barcelona},
  publisher      = {Elsevier},
  endnotereftype = {Conference Proceedings},
  file           = {x:/Bibfiles/GasSza02.pdf:Djvu;GasSza02.pdf:GasSza02.pdf:PDF;GasSza02.pdf:GasSza02.pdf:PDF},
  keywords       = {robust},
  shorttitle     = {Design of Robust Controllers for Active Vehicle Suspensions},
  timestamp      = {2020-08-21},
}

@Misc{Hel99b,
  author         = {Helmersson, A.},
  title          = {{A}n {IQC}-based {S}tability {C}riterion for {S}ystems with {S}lowly {V}arying {P}arameters},
  year           = {1999},
  endnotereftype = {Generic},
  groups         = {IQC},
  shorttitle     = {An {IQC}-based Stability Criterion for Systems with Slowly Varying Parameters},
  timestamp      = {2020-08-21},
}

@Misc{ArzPea98b,
  author         = {Arzelier, D. and Peaucelle, D.},
  title          = {{Q}uadratic {S}tability for {U}ncertain {G}eneralised {M}odels {V}ia {D}ynmaic {O}utput {F}eedback {C}ontrol: {A} {R}iccati {E}quation {A}pproach},
  year           = {1998},
  endnotereftype = {Generic},
  shorttitle     = {Quadratic Stability for Uncertain Generalised Models Via Dynmaic Output Feedback Control: A Riccati Equation Approach},
  timestamp      = {2020-08-21},
}

@InProceedings{RanMeg96,
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  address        = {Kobe, Japan},
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  endnotereftype = {Conference Proceedings},
  file           = {RanMeg96.pdf::Djvu;RanMeg96.pdf:RanMeg96.pdf:PDF;RanMeg96.pdf:RanMeg96.pdf:PDF},
  groups         = {IQC},
  keywords       = {iqc},
  shorttitle     = {Stability criteria based on integral quadratic constraints},
  timestamp      = {2020-08-21},
}

@Book{AmaEsc06a,
  author    = {Amann, H. and Escher, J.},
  publisher = {Birkh\"auser, Basel},
  title     = {Analysis I},
  year      = {2006},
  edition   = {Dritte Auflage},
  groups    = {used},
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@Misc{ArcMei16a,
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  title     = {Networks of dissipative systems: compositional certification of stability, performance, and safety},
  year      = {2016},
  owner     = {mst},
  publisher = {Springer},
  timestamp = {2017.06.09},
}

@Misc{ArzPea98c,
  author         = {Arzelier, D. and Peaucelle, D.},
  title          = {{Q}uadratic {S}tability for {U}ncertain {G}eneralised {M}odels {V}ia {D}ynmaic {O}utput {F}eedback {C}ontrol: {A} {R}iccati {E}quation {A}pproach},
  year           = {1998},
  endnotereftype = {Generic},
  shorttitle     = {Quadratic Stability for Uncertain Generalised Models Via Dynmaic Output Feedback Control: A Riccati Equation Approach},
  timestamp      = {2020-08-21},
}

@Misc{Hel99c,
  author         = {Helmersson, A.},
  title          = {{A}n {IQC}-based {S}tability {C}riterion for {S}ystems with {S}lowly {V}arying {P}arameters},
  year           = {1999},
  endnotereftype = {Generic},
  groups         = {IQC},
  shorttitle     = {An {IQC}-based Stability Criterion for Systems with Slowly Varying Parameters},
  timestamp      = {2020-08-21},
}

@Misc{Joe01a,
  author    = {J{\"o}nsson, U. T.},
  title     = {Lecture Notes on Integral Quadratic Constraints},
  year      = {2001},
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  groups    = {used},
  owner     = {mst},
  timestamp = {2015.02.11},
}

@Book{Kaz15a,
  author    = {Kazimierczuk, M. K.},
  publisher = {John Wiley \& Sons},
  title     = {Pulse-width modulated DC-DC power converters},
  year      = {2015},
  owner     = {mst},
  timestamp = {2017.04.06},
}

@Misc{KulKot08c,
  author         = {Kulkami, V.V. and Kothare, M.V. and Safonov, M.G.},
  title          = {{S}tabilizing {A}nti-{W}indup {C}ontrollers for {P}ower {A}llocation in {C}ellular {N}etworks},
  year           = {2008},
  endnotereftype = {Generic},
  file           = {KulKot08.pdf},
  shorttitle     = {Stabilizing Anti-Windup Controllers for Power Allocation in Cellular Networks},
  timestamp      = {2020-08-21},
}

@Article{MeiMir10c,
  author    = {Meinsma, G. and Mirkin, L.},
  journal   = {IEEE T. Signal Proces.},
  title     = {Sampling from a system-theoretic viewpoint: Part I -concepts and tools},
  year      = {2010},
  number    = {7},
  pages     = {3578--3590},
  volume    = {58},
  file      = {MeiMir10.pdf:..\\03_papers\\MeiMir10.pdf:PDF},
  groups    = {used, SD},
  owner     = {Matthias},
  publisher = {IEEE},
  timestamp = {2014.08.06},
}

@InCollection{Nes00b,
  author         = {Nesterov, Y.},
  booktitle      = {High Performance Optimization},
  publisher      = {Kluwer Academic Press},
  title          = {{S}quared functional systems and optimization problems},
  year           = {2000},
  address        = {Dordrecht},
  pages          = {405-440},
  endnotereftype = {Book Section},
  shorttitle     = {Squared functional systems and optimization problems},
  timestamp      = {2020-08-21},
}

@Article{PanWan03,
  author         = {Pan, V.Y. and Wang, X.},
  journal        = {SIAM J. Matrix Analysis},
  title          = {{I}nversion of displacement operators},
  year           = {2003},
  number         = {3},
  pages          = {660-677},
  volume         = {24},
  endnotereftype = {Journal Article},
  shorttitle     = {Inversion of displacement operators},
  timestamp      = {2020-08-21},
}

@PhdThesis{Par00,
  author         = {Parrilo, P.},
  school         = {California Institute of Technology},
  title          = {{S}tructure semidefinite programs and semialgebraic geometry methods in robustness and optimization},
  year           = {2000},
  address        = {Pasadena, California},
  endnotereftype = {Thesis},
  shorttitle     = {Structure semidefinite programs and semialgebraic geometry methods in robustness and optimization},
  timestamp      = {2020-08-21},
}

@InCollection{ParStu03,
  author         = {Parrilo, P. and Sturmfels, B.},
  booktitle      = {Algorithmic and Quantitative Real Algebraic Geometry},
  publisher      = {AMS},
  title          = {{M}inimizing polynomial functions},
  year           = {2003},
  address        = {Providence, RI},
  pages          = {83-99},
  volume         = {60},
  endnotereftype = {Book Section},
  file           = {x:/Bibfiles/ParStu01.pdf},
  keywords       = {relaxation},
  shorttitle     = {Minimizing polynomial functions},
  timestamp      = {2020-08-21},
}

@PhdThesis{Pea00,
  author         = {Peaucelle, D.},
  school         = {Universit/'{e} Paul Sabatier},
  title          = {{U}nified {F}ormulation for {R}obust {A}nalysis and {S}ynthesis with {P}arameter {D}ependent {L}yapunov {F}unctions},
  year           = {2000},
  address        = {Toulouse, France},
  type           = {Ph.D.},
  endnotereftype = {Thesis},
  shorttitle     = {Unified Formulation for Robust Analysis and Synthesis with Parameter Dependent Lyapunov Functions},
  timestamp      = {2020-08-21},
}

@PhdThesis{Pel01,
  author         = {Pellanda, P.C.},
  school         = {L'Ecole Nationale Sup/'{e}rieur de l'A/'{e}ronautique et de l'Espace},
  title          = {{C}ommande de syst/`{e}me instationnaires, s/'{e}quencement de compensatuers et commande {LPV}},
  year           = {2001},
  address        = {Toublouse},
  endnotereftype = {Thesis},
  shorttitle     = {Commande de syst/`{e}me instationnaires, s/'{e}quencement de compensatuers et commande {LPV}},
  timestamp      = {2020-08-21},
}

@Book{Pel03,
  author         = {Peller, V.V.},
  publisher      = {Springer},
  title          = {{A}n introduction to {H}ankel operators and their applications},
  year           = {2003},
  address        = {New York},
  endnotereftype = {Book},
  keywords       = {operator},
  shorttitle     = {An introduction to Hankel operators and their applications},
  timestamp      = {2020-08-21},
}

@Article{PfiSei16a,
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  journal   = {International Journal of Robust and Nonlinear Control},
  title     = {Less conservative robustness analysis of linear parameter varying systems using integral quadratic constraints},
  year      = {2016},
  issn      = {1099-1239},
  note      = {rnc.3521},
  pages     = {n/a--n/a},
  doi       = {10.1002/rnc.3521},
  groups    = {used},
  keywords  = {robust control, linear parameter varying systems, uncertain systems},
  owner     = {mst},
  timestamp = {2016.08.23},
  url       = {http://dx.doi.org/10.1002/rnc.3521},
}

@Article{PilWil02,
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  year           = {2002},
  number         = {5},
  pages          = {1406-1430},
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  shorttitle     = {Lossless and dissipative distributed systems},
  timestamp      = {2020-08-21},
}

@Article{Pra98,
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  journal        = {Automatica},
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  year           = {1998},
  pages          = {861-874},
  volume         = {34},
  endnotereftype = {Journal Article},
  shorttitle     = {Two-Sided Tangential Interpolation with Real Rational Units in {${/cal H}_\infty$}},
  timestamp      = {2020-08-21},
}

@Article{Ra?02,
  author         = {Ra?svan, V.},
  journal        = {European Journal of Control},
  title          = {{P}opov theories and qualitative behavior of dynamic and control systems},
  year           = {2002},
  month          = {2002///},
  note           = {TY - JOUR Cited By (since 1996): 2 Export Date: 15 October 2007 Source: Scopus},
  number         = {3},
  pages          = {190-199},
  volume         = {8},
  endnotereftype = {Journal Article},
  file           = {http://www.scopus.com/scopus/inward/record.file?eid=2-s2.0-23544438490&partnerID=40&rel=R6.5.0},
  shorttitle     = {Popov theories and qualitative behavior of dynamic and control systems},
  timestamp      = {2020-08-21},
}

@TechReport{RanMeg97,
  author       = {Rantzer, A. and Megretski, A.},
  institution  = {Department of Automatic Control Lund Institute of Technology},
  title        = {{System Analysis via Integral Quadratic Constraints - Part II}},
  year         = {1997},
  booktitle    = tac,
  file         = {RanMeg94a.pdf:RanMeg94a.pdf:PDF},
  groups       = {used},
  organization = {Citeseer},
  owner        = {mst},
  timestamp    = {2013.08.08},
}

@InProceedings{RotCog08,
  author         = {Rotkowitz, M. and Cogill, R.},
  booktitle      = {Communication, Control, and Computing, 2008 46th Annual Allerton Conference on},
  title          = {{C}onvex synthesis of distributed controllers for spatio-temporal systems with subadditive support functions},
  year           = {2008},
  month          = {23-26 Sept. 2008},
  pages          = {1450-1456},
  endnotereftype = {Conference Proceedings},
  keywords       = {closed loop systems control system synthesis convex programming decentralised control delays distributed control optimal control convex optimization convex synthesis distributed controllers funnel causal propagation functions propagation delay sensor measurements spatially invariant systems spatio-temporal systems subadditive support functions transmission delays triangle inequality},
  shorttitle     = {Convex synthesis of distributed controllers for spatio-temporal systems with subadditive support functions},
  timestamp      = {2020-08-21},
}

@Book{RoyFit88a,
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  timestamp = {2015.10.30},
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@Article{SanVar78a,
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@Book{Sas99,
  author         = {Sastry, S.},
  publisher      = {Springer},
  title          = {{N}onlinear {S}ystems : {A}nalysis {S}tability and {C}ontrol},
  year           = {1999},
  isbn           = {SBN: 978-0-387-98513-8},
  series         = {Interdisciplinary Applied Mathematics},
  volume         = {10},
  endnotereftype = {Book},
  shorttitle     = {Nonlinear Systems : Analysis Stability and Control},
  timestamp      = {2020-08-21},
}

@Article{SepSta05,
  author         = {Sepulchre, R. and Stan, G.-B.},
  journal        = {Syst. Control Lett.},
  title          = {{F}eedback mechanisms for global oscillations in {L}ure systems},
  year           = {2005},
  month          = {2005///},
  note           = {TY - JOUR Cited By (since 1996): 6 Export Date: 15 October 2007 Source: Scopus},
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  volume         = {54},
  endnotereftype = {Journal Article},
  file           = {http://www.scopus.com/scopus/inward/record.file?eid=2-s2.0-20344383008&partnerID=40&rel=R6.5.0},
  shorttitle     = {Feedback mechanisms for global oscillations in Lure systems},
  timestamp      = {2020-08-21},
}

@InProceedings{ShaPar08,
  author         = {Shah, P. and Parrilo, P. A.},
  booktitle      = {Communication, Control, and Computing, 2008 46th Annual Allerton Conference on},
  title          = {{A} partial order approach to decentralized control of spatially invariant systems},
  year           = {2008},
  month          = {23-26 Sept. 2008},
  pages          = {347-352},
  endnotereftype = {Conference Proceedings},
  keywords       = {control system synthesis decentralised control set theory convex parameterization convex reformulation decentralized controller design incidence algebras partial order approach partially-ordered sets poset causal systems spatially distributed systems spatially invariant systems},
  shorttitle     = {A partial order approach to decentralized control of spatially invariant systems},
  timestamp      = {2020-08-21},
}

@InProceedings{SheVou06,
  author         = {Shengxiang, Jiang and Voulgaris, P. G.},
  booktitle      = {Decision and Control, 2006 45th IEEE Conference on},
  title          = {{D}esign of {D}istributed {C}ontrollers with {C}onstrained and {N}oisy {L}inks},
  year           = {2006},
  month          = {13-15 Dec. 2006},
  pages          = {3622-3627},
  endnotereftype = {Conference Proceedings},
  keywords       = {H<sup>infin</sup> control control system synthesis distributed control linear matrix inequalities H<sub>infin</sub> performance level communication channels communication noise distributed controllers design},
  shorttitle     = {Design of Distributed Controllers with Constrained and Noisy Links},
  timestamp      = {2020-08-21},
}

@InProceedings{SolBam99,
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  booktitle      = {Decision and Control, 1999. Proceedings of the 38th IEEE Conference on},
  title          = {{A}daptive distributed control of a parabolic system with spatially varying parameters},
  year           = {1999},
  month          = {1999},
  pages          = {2892-2895 vol.3},
  volume         = {3},
  endnotereftype = {Conference Proceedings},
  keywords       = {adaptive control distributed control distributed parameter systems linear quadratic control parabolic equations state feedback adaptive controller adaptive distributed control adaptive distributed linear quadratic control averaging analysis control law parabolic partial differential equation parabolic system spatially varying parameters stability},
  shorttitle     = {Adaptive distributed control of a parabolic system with spatially varying parameters},
  timestamp      = {2020-08-21},
}

@InProceedings{Son06,
  author         = {Song, B.},
  booktitle      = {Proc. American Control Conf.},
  title          = {{D}ecentralized dynamic surface control for a class of interconnected nonlinear systems},
  year           = {2006},
  month          = {14-16 June 2006},
  pages          = {6 pp.},
  endnotereftype = {Conference Proceedings},
  keywords       = {control system synthesis decentralised control large-scale systems nonlinear control systems optimisation augmented error dynamics convex optimization decentralized dynamic surface control interconnected functions interconnected nonlinear systems large-scale interconnected systems},
  shorttitle     = {Decentralized dynamic surface control for a class of interconnected nonlinear systems},
  timestamp      = {2020-08-21},
}

@InCollection{SouTro00,
  author         = {de Souza, C.E. and Trofino, A.},
  booktitle      = {Advances in Linear Matrix Inequality Methods in Control},
  publisher      = {SIAM},
  title          = {{A} linear matrix inequality approach to the design of robust ${H}_2$ filters},
  year           = {2000},
  address        = {Philadelphia},
  editor         = {{El~Ghaoui}, L. and Niculescu, S.I.},
  pages          = {175-185},
  endnotereftype = {Book Section},
  keywords       = {filtering},
  shorttitle     = {A linear matrix inequality approach to the design of robust ${H}_2$ filters},
  timestamp      = {2020-08-21},
}

@InProceedings{StoMan00,
  author         = {Stone, A. and Manolakos, E. S.},
  booktitle      = {Signal Processing Systems, 2000. SiPS 2000. 2000 IEEE Workshop on},
  title          = {{R}apid prototyping of parallel architectures using {DG}2{VHDL}: recent advancements},
  year           = {2000},
  month          = {2000},
  pages          = {653-662},
  endnotereftype = {Conference Proceedings},
  isbn           = {1520-6130},
  keywords       = {hardware description languages high level synthesis parallel architectures signal flow graphs DG2VHDL Dependence Graphs VHDL models distributed memory rapid prototyping},
  shorttitle     = {Rapid prototyping of parallel architectures using DG2VHDL: recent advancements},
  timestamp      = {2020-08-21},
}

@Article{Stu99,
  author         = {Sturm, J.F.},
  journal        = {Optimization Methods and Software},
  title          = {{U}sing {S}e{D}u{M}i 1.02, a {MATLAB} toolbox for optimization over symmetric cones},
  year           = {1999},
  pages          = {625-653},
  volume         = {11-12},
  endnotereftype = {Journal Article},
  shorttitle     = {Using {S}e{D}u{M}i 1.02, a {MATLAB} toolbox for optimization over symmetric cones},
  timestamp      = {2020-08-21},
}

@InProceedings{StuDul01,
  author         = {Stubbs, A. and Dullerud, G. E.},
  booktitle      = {Decision and Control, 2001. Proceedings of the 40th IEEE Conference on},
  title          = {{N}etworked control of distributed systems},
  year           = {2001},
  month          = {2001},
  pages          = {203-204 vol.1},
  volume         = {1},
  endnotereftype = {Conference Proceedings},
  keywords       = {H<sup>&infin </sup> control control system analysis control system synthesis distributed control linear systems time-varying systems convex conditions distributed systems l<sub>2</sub>-induced norm linear parameter-varying system networked control system analysis networked control system synthesis operator theoretic tools},
  shorttitle     = {Networked control of distributed systems},
  timestamp      = {2020-08-21},
}

@Article{StuZha03,
  author         = {Sturm, J.F. and Zhang, S.Z.},
  journal        = {Math. Oper. Res.},
  title          = {{O}n cones of nonnegative quadratic functions},
  year           = {2003},
  number         = {2},
  pages          = {246-267},
  volume         = {28},
  endnotereftype = {Journal Article},
  file           = {x:/Bibfiles/StuZha01.ps},
  keywords       = {duality sdp},
  shorttitle     = {On cones of nonnegative quadratic functions},
  timestamp      = {2020-08-21},
}

@InProceedings{SubSmi07,
  author         = {Subbotin, M. V. and Smith, R. S.},
  booktitle      = {Proc. American Control Conf.},
  title          = {{D}esign of a {D}istributed {D}ecentralized {E}stimator for a {F}ormation with {F}ixed {C}ommunication {T}opology},
  year           = {2007},
  month          = {9-13 July 2007},
  pages          = {5025-5030},
  endnotereftype = {Conference Proceedings},
  isbn           = {0743-1619},
  keywords       = {decentralised control distributed control matrix algebra telecommunication control telecommunication network topology discrete LTI system distributed decentralized estimator design fixed communication topology unidirectional links},
  shorttitle     = {Design of a Distributed Decentralized Estimator for a Formation with Fixed Communication Topology},
  timestamp      = {2020-08-21},
}

@InProceedings{SujMan06,
  author         = {Sujan, Pandey and Manfred, Glesner},
  booktitle      = {Field Programmable Logic and Applications, 2006. FPL '06. International Conference on},
  title          = {{E}nergy {E}fficient {S}tatistical {O}n-{C}hip {C}ommunication {B}us {S}ynthesis for a {R}econfigurable {A}rchitecture},
  year           = {2006},
  month          = {Aug. 2006},
  pages          = {1-6},
  endnotereftype = {Conference Proceedings},
  shorttitle     = {Energy Efficient Statistical On-Chip Communication Bus Synthesis for a Reconfigurable Architecture},
  timestamp      = {2020-08-21},
}

@Article{VanBoy99,
  author         = {Vandenberghe, L. and Boyd, S.},
  journal        = {Applied numerical mathematics},
  title          = {{A}pplications of {S}emidefinite {P}rogramming},
  year           = {1999},
  pages          = {283-299},
  volume         = {29},
  endnotereftype = {Journal Article},
  shorttitle     = {Applications of Semidefinite Programming},
  timestamp      = {2020-08-21},
}

@Book{Vin00,
  author         = {Vinter, R.B.},
  publisher      = {Birkh\"auser},
  title          = {{O}ptimal {C}ontrol},
  year           = {2000},
  address        = {Boston},
  endnotereftype = {Book},
  shorttitle     = {Optimal Control},
  timestamp      = {2020-08-21},
}

@InProceedings{VouShe04,
  author         = {Voulgaris, P. G. and Shengxiang, Jiang},
  booktitle      = {Proc. 43rd IEEE Conf. Decision and Control},
  title          = {{F}ailure-robust distributed controller architectures},
  year           = {2004},
  month          = {17-17 Dec. 2004},
  pages          = {513-518 Vol.1},
  volume         = {1},
  endnotereftype = {Conference Proceedings},
  isbn           = {0191-2216},
  keywords       = {control system synthesis distributed control robust control Q problem Youla-Kucera parameterization collocated control input-measurement output pairs communication noise failure-robust distributed controller processing nodes},
  shorttitle     = {Failure-robust distributed controller architectures},
  timestamp      = {2020-08-21},
}

@PhdThesis{Wem03,
  author         = {Wemhoff, E.L.},
  title          = {{S}ignal {E}stimation in {S}tructured {N}onlinear {S}ystems with {U}nknown {F}unctions},
  year           = {2003},
  endnotereftype = {Thesis},
  file           = {wem03.pdf},
  shorttitle     = {Signal Estimation in Structured Nonlinear Systems with Unknown Functions},
  timestamp      = {2020-08-21},
}

@InProceedings{WenWei04,
  author         = {Wen-Jer, Chang and Wei, Chang},
  booktitle      = {Fuzzy Systems, 2004. Proceedings. 2004 IEEE International Conference on},
  title          = {{F}uzzy controller design for discrete time-delay affine {T}akagi-{S}ugeno fuzzy systems},
  year           = {2004},
  month          = {25-29 July 2004},
  pages          = {1467-1472 vol.3},
  volume         = {3},
  endnotereftype = {Conference Proceedings},
  isbn           = {1098-7584},
  keywords       = {control system synthesis delay systems discrete systems fuzzy control fuzzy systems linear matrix inequalities bilinear matrix inequalities discrete time-delay affine Takagi-Sugeno fuzzy systems fuzzy controller design iterative linear matrix inequality parallel distributed compensation stabilization matrix inequalities},
  shorttitle     = {Fuzzy controller design for discrete time-delay affine Takagi-Sugeno fuzzy systems},
  timestamp      = {2020-08-21},
}

@InProceedings{WenWei05,
  author         = {Wen-Jer, Chang and Wei, Chang},
  booktitle      = {Mechatronics and Automation, 2005 IEEE International Conference},
  title          = {{H}<sub>/\&infin;</sub> fuzzy control for discrete affine {T}akagi-{S}ugeno fuzzy models with time delay effect},
  year           = {2005},
  month          = {2005},
  pages          = {1503-1508 Vol. 3},
  volume         = {3},
  endnotereftype = {Conference Proceedings},
  keywords       = {H<sup>&infin </sup> control control system synthesis delay systems discrete time systems fuzzy control fuzzy set theory linear matrix inequalities nonlinear control systems stability H<sub>&infin </sub> fuzzy control bilinear matrix inequality complex nonlinear systems convex optimization algorithm discrete affine Takagi-Sugeno fuzzy models discrete time-delay affine T-S fuzzy models iterative linear matrix inequality algorithm nonlinear control parallel distributed compensation time delay effect},
  shorttitle     = {H<sub>&infin;</sub> fuzzy control for discrete affine Takagi-Sugeno fuzzy models with time delay effect},
  timestamp      = {2020-08-21},
}

@Article{WilTak07,
  author         = {Willems, J. C. and Takaba, K.},
  journal        = {Int. J. Robust Nonlin.},
  title          = {{D}issipativity and stability of interconnections},
  year           = {2007},
  number         = {5-6},
  pages          = {563-586},
  volume         = {17},
  endnotereftype = {Journal Article},
  file           = {:Strelnikova/IQCLiterature/WilTak07.pdf:PDF;:WilTak07.pdf:PDF},
  shorttitle     = {Dissipativity and stability of interconnections},
  timestamp      = {2020-08-21},
}

@Article{Wu03,
  author         = {Wu, F.},
  journal        = {Control Theory and Applications, IEE Proceedings -},
  title          = {{D}istributed control for interconnected linear parameter-dependent systems},
  year           = {2003},
  issn           = {1350-2379},
  number         = {5},
  pages          = {518-27},
  volume         = {150},
  endnotereftype = {Journal Article},
  keywords       = {Lyapunov methods &lt interconnected lin. param.-depend. systs., distrib. control&gt distributed control &lt interconnected lin. param.-depend. systs., distrib. control&gt distributed parameter systems &lt interconnected lin. param.-depend. systs., distrib. control&gt interconnected systems &lt lin. param.-depend. systs., distrib. control&gt linear matrix inequalities &lt interconnected lin. param.-depend. systs., distrib. control&gt linear systems &lt interconnected lin. param.-depend. systs., distrib. control&gt stability &lt interconnected lin. param.-depend. systs., distrib. control&gt convex optimisation distributed Lyapunov function distributed control distributed controller interconnected linear parameter-dependent systems linear fractional parameter dependency performance control spatial structure spatially varying parameters stability analysis time varying parameters},
  shorttitle     = {Distributed control for interconnected linear parameter-dependent systems},
  timestamp      = {2020-08-21},
}

@Article{You01,
  author         = {Young, P.M.},
  journal        = {International Journal of Robust and Nonlinear Control},
  title          = {{S}tructured {S}ingular {V}alue {A}pproach for {S}ystems with {P}arametric {U}ncertainty},
  year           = {2001},
  pages          = {653-680},
  volume         = {11},
  endnotereftype = {Journal Article},
  shorttitle     = {Structured Singular Value Approach for Systems with Parametric Uncertainty},
  timestamp      = {2020-08-21},
}

@Article{Zam66,
  author         = {Zames, G.},
  journal        = {IEEE T. Automat. Contr.},
  title          = {{O}n the input-output stability of time-varying nonlinear feedback systems - {P}art {I}: {C}onditions derived using concepts of loop gain, conicity, and positivity},
  year           = {1966},
  number         = {2},
  pages          = {228-238},
  volume         = {11},
  endnotereftype = {Journal Article},
  file           = {:Zam66.pdf:PDF},
  groups         = {used, CSM20},
  shorttitle     = {On the input-output stability of time-varying nonlinear feedback systems - Part {I}: Conditions derived using concepts of loop gain, conicity, and positivity},
  timestamp      = {2020-08-21},
}

@InProceedings{ZhaHil05a,
  author         = {Zhao, J. and Hill, D.J.},
  booktitle      = {Proc. 44th IEEE Conf. Decision and Control},
  title          = {{D}issipativity theory for switched systems},
  year           = {2005},
  month          = {2005///},
  note           = {TY - CONF Export Date: 15 October 2007 Source: Scopus Art. No.: 1583289},
  pages          = {7003-7008},
  volume         = {2005},
  endnotereftype = {Conference Proceedings},
  file           = {http://www.scopus.com/scopus/inward/record.file?eid=2-s2.0-33847192069&partnerID=40&rel=R6.5.0},
  shorttitle     = {Dissipativity theory for switched systems},
  timestamp      = {2020-08-21},
}

@Article{ScoRaw98a,
  author         = {Scokaert, P.O.M. and Rawlings, J.B.},
  journal        = {IEEE T. Automat. Contr.},
  title          = {{C}onstrained {L}inear {Q}uadratic {R}egulation},
  year           = {1998},
  pages          = {1163-1169},
  volume         = {43},
  endnotereftype = {Journal Article},
  keywords       = {constraints},
  shorttitle     = {Constrained Linear Quadratic Regulation},
  timestamp      = {2020-08-21},
}

@Book{Sha98a,
  author         = {Shapiro, A.},
  publisher      = {American Mathematical Society},
  title          = {{T}opics in {S}emidefinite and {I}nterior-{P}oint {M}ethods, chap. {O}ptimality {C}onditions and {S}ensitivity {A}nalysis of {C}one-{C}onstraint and {S}emi-{D}efinite {P}rograms},
  year           = {1998},
  endnotereftype = {Book},
  shorttitle     = {Topics in Semidefinite and Interior-Point Methods, chap. Optimality Conditions and Sensitivity Analysis of Cone-Constraint and Semi-Definite Programs},
  timestamp      = {2020-08-21},
}

@Book{Sim98a,
  author         = {Simons, S.},
  publisher      = {Springer-Verlag},
  title          = {{M}inimax and {M}onotonicity},
  year           = {1998},
  address        = {Berlin},
  endnotereftype = {Book},
  shorttitle     = {Minimax and Monotonicity},
  timestamp      = {2020-08-21},
}

@InProceedings{SolBam98a,
  author         = {Solo, V. and Bamieh, B.},
  booktitle      = {Decision and Control, 1998. Proceedings of the 37th IEEE Conference on},
  title          = {{A}daptive distributed control of a parabolic system},
  year           = {1998},
  month          = {16-18 Dec 1998},
  pages          = {1894-1899 vol.2},
  volume         = {2},
  endnotereftype = {Conference Proceedings},
  keywords       = {adaptive control control system analysis distributed control distributed parameter systems linear quadratic control parabolic equations partial differential equations stability adaptive distributed control adaptive linear quadratic control averaging analysis convolutional control law parabolic system},
  shorttitle     = {Adaptive distributed control of a parabolic system},
  timestamp      = {2020-08-21},
}

@Book{StaYan98a,
  author         = {Stark, H. and Yang, Y.},
  editor         = {Proakis, J.G.},
  publisher      = {John Wiley /\& Sons},
  title          = {{V}ector {S}pace {P}rojections},
  year           = {1998},
  address        = {New York},
  series         = {Wiley series in telecommunications adn signal processing},
  endnotereftype = {Book},
  shorttitle     = {Vector Space Projections},
  timestamp      = {2020-08-21},
}

@Article{SznBu98a,
  author         = {Sznaier, M. and Bu, J.},
  journal        = {IEEE T. Automat. Contr.},
  title          = {{M}ixed {$l_1/{/cal H}_\infty$} {C}ontrol of {MIMO} {S}ystems {V}ia {C}onvex {O}ptimization},
  year           = {1998},
  pages          = {1229-1241},
  volume         = {43},
  endnotereftype = {Journal Article},
  keywords       = {Multiobjective},
  shorttitle     = {Mixed {$l_1/{/cal H}_\infty$} Control of {MIMO} Systems Via Convex Optimization},
  timestamp      = {2020-08-21},
}

@InCollection{VanBoy98a,
  author         = {Vandenberghe, L. and Boyd, S.},
  publisher      = {Kluwer},
  title          = {{C}onnections {B}etween {S}emi-{I}nfinite and {S}emidefinite {P}rogramming},
  year           = {1998},
  pages          = {1-19},
  endnotereftype = {Book Section},
  shorttitle     = {Connections Between Semi-Infinite and Semidefinite Programming},
  timestamp      = {2020-08-21},
}

@InProceedings{Vou98a,
  author         = {Voulgaris, P. G.},
  booktitle      = {Decision and Control, 1998. Proceedings of the 37th IEEE Conference on},
  title          = {{D}ecentralized control design for sensitivity minimization and disturbance decoupling},
  year           = {1998},
  month          = {1998},
  pages          = {3321-3322 vol.3},
  volume         = {3},
  endnotereftype = {Conference Proceedings},
  keywords       = {control system synthesis decentralised control feedback minimisation optimal control robust control sensitivity analysis decentralized control disturbance decoupling stabilisation stable plants},
  shorttitle     = {Decentralized control design for sensitivity minimization and disturbance decoupling},
  timestamp      = {2020-08-21},
}

@InCollection{You98a,
  author         = {Young, N.},
  booktitle      = {Holomorphic Spaces},
  publisher      = {Cambrigde University Press},
  title          = {{S}ome {F}unction-{T}heoretic {I}ssues in {F}eedback {S}tabilization},
  year           = {1998},
  editor         = {Axler, S. and McCarthy, J.E. and Sarason, D.},
  pages          = {337-349},
  endnotereftype = {Book Section},
  keywords       = {function theory},
  shorttitle     = {Some Function-Theoretic Issues in Feedback Stabilization},
  timestamp      = {2020-08-21},
}

@Article{Par97,
  author         = {Park, Poogyeon},
  journal        = {International Journal of Control},
  title          = {{A} revisited {P}opov criterion for nonlinear {L}ur/\&apos;e systems with sector-restrictions},
  year           = {1997},
  issn           = {0020-7179},
  number         = {3},
  pages          = {461 - 470},
  volume         = {68},
  endnotereftype = {Journal Article},
  file           = {Par97.pdf::Djvu},
  publisher      = {Taylor /\&amp; Francis},
  shorttitle     = {A revisited Popov criterion for nonlinear Lur&apos;e systems with sector-restrictions},
  timestamp      = {2020-08-21},
}

@Book{PinZaf97a,
  author         = {Pinkus, A. and Zafrany, S.},
  publisher      = {Cambrigde University Press},
  title          = {{F}ourier series and integral transforms},
  year           = {1997},
  address        = {Cambridge},
  endnotereftype = {Book},
  shorttitle     = {Fourier series and integral transforms},
  timestamp      = {2020-08-21},
}

@Book{PolWil97a,
  author         = {Polderman, J.W. and Willems, J.C.},
  publisher      = {Springer-Verlag},
  title          = {{I}ntroduction to {M}athematical {S}ystems {T}heory},
  year           = {1997},
  address        = {Berlin, New York},
  endnotereftype = {Book},
  shorttitle     = {Introduction to Mathematical Systems Theory},
  timestamp      = {2020-08-21},
}

@Article{PraRot97a,
  author         = {Pransath, R.K. and Rotea, M.A.},
  journal        = {Math. Control Signals Systems},
  title          = {{I}nterpolation with {M}ultiple {N}orm {C}onstraints},
  year           = {1997},
  pages          = {165-187},
  volume         = {10},
  endnotereftype = {Journal Article},
  shorttitle     = {Interpolation with Multiple Norm Constraints},
  timestamp      = {2020-08-21},
}

@Article{RanPoo97a,
  author         = {Rangan, S. and Poolla, K.},
  journal        = {Syst. Control Lett.},
  title          = {{W}eighted optimization for multiobjective full-information control problems},
  year           = {1997},
  pages          = {207-213},
  volume         = {31},
  endnotereftype = {Journal Article},
  shorttitle     = {Weighted optimization for multiobjective full-information control problems},
  timestamp      = {2020-08-21},
}

@Article{SafFan97a,
  author         = {Safonov, M. G. and Fan, M. K. H.},
  journal        = {International Journal of Robust and Nonlinear Control},
  title          = {{M}ultivariable stability margin - {E}ditorial},
  year           = {1997},
  issn           = {1049-8923},
  month          = {Feb},
  note           = {Wh581 Times Cited:3 Cited References Count:47},
  number         = {2},
  pages          = {97-103},
  volume         = {7},
  endnotereftype = {Journal Article},
  file           = {<Go to ISI>://A1997WH58100001},
  keywords       = {feedback-systems lqg regulators robust-control design gain},
  shorttitle     = {Multivariable stability margin - Editorial},
  timestamp      = {2020-08-21},
}

@InProceedings{ScoDuc97a,
  author         = {Scorletti, G. and Duc, G.},
  booktitle      = {Proc. American Control Conf.},
  title          = {{A} convex approach to decentralized {H}<sub>/\&infin;</sub> control},
  year           = {1997},
  month          = {4-6 Jun 1997},
  pages          = {2390-2394 vol.4},
  volume         = {4},
  endnotereftype = {Conference Proceedings},
  keywords       = {H<sup>&infin </sup> control closed loop systems control system synthesis decentralised control linear systems matrix algebra optimisation H<sub>&infin </sub> performance level convex approach convex optimization problems decentralized H<sub>&infin </sub> control input output dissipative property linear matrix inequalities linear time invariant system local controller},
  shorttitle     = {A convex approach to decentralized H<sub>&infin;</sub> control},
  timestamp      = {2020-08-21},
}

@Article{Sha97a,
  author         = {Shapiro, A.},
  journal        = {SIAM J. Optim.},
  title          = {{O}n {U}niqueness of {L}agrange {M}ultipliers in {O}ptimization {P}roblems {S}ubject to {C}one {C}onstraints},
  year           = {1997},
  number         = {2},
  pages          = {508-518},
  volume         = {7},
  endnotereftype = {Journal Article},
  file           = {x:/Bibfiles/Sha97.pdf},
  keywords       = {optimization},
  shorttitle     = {On Uniqueness of Lagrange Multipliers in Optimization Problems Subject to Cone Constraints},
  timestamp      = {2020-08-21},
}

@InProceedings{Vou97a,
  author         = {Voulgaris, P.G.},
  booktitle      = {Proc. 36th IEEE Conf. Decision and Control},
  title          = {{O}ptimal {C}ontrol of {S}ystems with {D}elayed {O}bservation {S}haring {P}atterns},
  year           = {1997},
  address        = {San Diego, CA},
  pages          = {2613-2618},
  endnotereftype = {Conference Proceedings},
  keywords       = {Structured controllers},
  shorttitle     = {Optimal Control of Systems with Delayed Observation Sharing Patterns},
  timestamp      = {2020-08-21},
}

@Article{YouDah97a,
  author         = {Young, P.M. and Dahleh, M.A.},
  journal        = {IEEE T. Automat. Contr.},
  title          = {{I}nfinite-{D}imensional {C}onvex {O}ptimization in {O}ptimal and {R}obust {C}ontrol {T}heory},
  year           = {1997},
  pages          = {1370-1381},
  volume         = {42},
  endnotereftype = {Journal Article},
  shorttitle     = {Infinite-Dimensional Convex Optimization in Optimal and Robust Control Theory},
  timestamp      = {2020-08-21},
}

@Article{YuSid97a,
  author         = {Yu, J. and Sideris, A.},
  journal        = {Syst. Control Lett.},
  title          = {${H}_\infty$ control with parametric {L}yapunov functions},
  year           = {1997},
  pages          = {57-69},
  volume         = {30},
  endnotereftype = {Journal Article},
  shorttitle     = {${H}_\infty$ control with parametric {L}yapunov functions},
  timestamp      = {2020-08-21},
}

@Article{Pag96a,
  author         = {Paganini, F.},
  journal        = {Automatica},
  title          = {{R}obust {S}tability under {M}ixed {T}ime-{V}arying, {T}ime-{I}nvariant and {P}arametric {U}ncertainty},
  year           = {1996},
  pages          = {1381-1392},
  volume         = {32},
  endnotereftype = {Journal Article},
  file           = {pag96.pdf},
  shorttitle     = {Robust Stability under Mixed Time-Varying, Time-Invariant and Parametric Uncertainty},
  timestamp      = {2020-08-21},
}

@Book{Rao96a,
  author         = {Rao, S.S.},
  publisher      = {John Wiley /\& Sons},
  title          = {{E}ngineering {O}ptimization, {T}heory and {P}ractice},
  year           = {1996},
  address        = {New York, Chichester},
  edition        = {3},
  endnotereftype = {Book},
  shorttitle     = {Engineering Optimization, Theory and Practice},
  timestamp      = {2020-08-21},
}

@Book{Sko96a,
  author         = {Skorokhod, A.V.},
  publisher      = {VSP},
  title          = {{L}ectures on the {T}heory of {S}tochastic {P}rocesses},
  year           = {1996},
  address        = {Utrecht, The Netherlands},
  endnotereftype = {Book},
  shorttitle     = {Lectures on the Theory of Stochastic Processes},
  timestamp      = {2020-08-21},
}

@Book{SkoPos96a,
  author         = {Skogestad, S. and Postlethwaite, I.},
  publisher      = {John Wiley /\& Sons},
  title          = {{M}ultivariable {F}eedback {C}ontrol, {A}nalysis and {D}esign},
  year           = {1996},
  endnotereftype = {Book},
  shorttitle     = {Multivariable Feedback Control, Analysis and Design},
  timestamp      = {2020-08-21},
}

@InProceedings{WanTan96a,
  author         = {Wang, H. O. and Tanaka, K.},
  booktitle      = {Fuzzy Systems, 1996., Proceedings of the Fifth IEEE International Conference on},
  title          = {{A}n {LMI}-based stable fuzzy control of nonlinear systems and its application to control of chaos},
  year           = {1996},
  month          = {8-11 Sep 1996},
  pages          = {1433-1438 vol.2},
  volume         = {2},
  endnotereftype = {Conference Proceedings},
  keywords       = {chaos compensation control system synthesis convex programming fuzzy control matrix algebra nonlinear control systems stability Chua's circuit LMI-based stable fuzzy control Takagi-Sugeno fuzzy model design procedure linear matrix inequality model-based fuzzy controller nonlinear systems parallel distributed compensation stability analysis},
  shorttitle     = {An LMI-based stable fuzzy control of nonlinear systems and its application to control of chaos},
  timestamp      = {2020-08-21},
}

@Article{YanMoo96a,
  author         = {Yan, Y.W. and Moore, J.B.},
  journal        = {Int. J. Robust Nonlin.},
  title          = {{S}table {L}inear {F}ractional {T}ransformations with {A}pplications to {S}tabilization and {M}ultistage ${H}^\infty$ {C}ontrol {D}esign},
  year           = {1996},
  pages          = {101-122},
  volume         = {6},
  endnotereftype = {Journal Article},
  shorttitle     = {Stable Linear Fractional Transformations with Applications to Stabilization and Multistage $H^\infty$ Control Design},
  timestamp      = {2020-08-21},
}

@Article{PooTik95a,
  author         = {Poolla, K. and Tikku, A.},
  journal        = {IEEE T. Automat. Contr.},
  title          = {{R}obust {P}erformance against time-varying structured perturbations},
  year           = {1995},
  pages          = {1589-1602},
  volume         = {40},
  endnotereftype = {Journal Article},
  shorttitle     = {Robust Performance against time-varying structured perturbations},
  timestamp      = {2020-08-21},
}

@Article{Sha95a,
  author         = {Shamma, J.S.},
  journal        = {Syst. Control Lett.},
  title          = {{R}obust stability analysis of time-varying systems using time-varying quadratic forms},
  year           = {1995},
  number         = {1},
  pages          = {13-17},
  endnotereftype = {Journal Article},
  shorttitle     = {Robust stability analysis of time-varying systems using time-varying quadratic forms},
  timestamp      = {2020-08-21},
}

@Book{Sim95a,
  author         = {Simons, S.},
  publisher      = {Kluwer},
  title          = {{M}inimax and {A}pplications, chap. {M}inimax {T}heormes and their {P}roofs},
  year           = {1995},
  address        = {Dordrecht},
  endnotereftype = {Book},
  shorttitle     = {Minimax and Applications, chap. Minimax Theormes and their Proofs},
  timestamp      = {2020-08-21},
}

@Article{SouMan95a,
  author         = {Sourlas, D.D. and Manousiouthakis, V.},
  journal        = {IEEE T. Automat. Contr.},
  title          = {{B}est {A}chievable {D}ecentralized {P}erformance},
  year           = {1995},
  pages          = {1858-1871},
  volume         = {40},
  endnotereftype = {Journal Article},
  shorttitle     = {Best Achievable Decentralized Performance},
  timestamp      = {2020-08-21},
}

@Article{SznBla95a,
  author         = {Sznaier, M. and Blanchini, F.},
  journal        = {IEEE T. Automat. Contr.},
  title          = {{M}ixed {${/cal L}^\infty/{/cal H}_\infty$} {S}uboptimal {C}ontrollers for {SISO} {C}ontinuous-{T}ime {S}ystems},
  year           = {1995},
  pages          = {1831-1840},
  volume         = {40},
  endnotereftype = {Journal Article},
  shorttitle     = {Mixed {${/cal L}^\infty/{/cal H}_\infty$} Suboptimal Controllers for {SISO} Continuous-Time Systems},
  timestamp      = {2020-08-21},
}

@InProceedings{TokOzb95a,
  author         = {O.~Toker and H.~Ozbay},
  booktitle      = {Proc. American Control Conf.},
  title          = {{O}n the {NP}-hardness of the {P}urely {C}omplex $/mu$ {C}omputation, {A}nalysis/{S}ynthesis, and {S}ome {R}elated {P}roblems in {M}ultidimensional {S}ystems},
  year           = {1995},
  pages          = {447-451},
  endnotereftype = {Conference Proceedings},
  shorttitle     = {On the {NP}-hardness of the Purely Complex $/mu$ Computation, Analysis/Synthesis, and Some Related Problems in Multidimensional Systems},
  timestamp      = {2020-08-21},
}

@Article{Pac94a,
  author         = {Packard, A.},
  journal        = {Syst. Control Lett.},
  title          = {{G}ain scheduling via linear fractional transformations},
  year           = {1994},
  pages          = {79-92},
  volume         = {22},
  endnotereftype = {Journal Article},
  file           = {Pac94.pdf},
  keywords       = {lpv},
  shorttitle     = {Gain scheduling via linear fractional transformations},
  timestamp      = {2020-08-21},
}

@Book{Psh94a,
  author         = {Pshenischnyj, B.N.},
  publisher      = {Springer-Verlag},
  title          = {{T}he {L}inearization {M}ethod for {C}onstrained {O}ptimization},
  year           = {1994},
  address        = {Berlin},
  endnotereftype = {Book},
  shorttitle     = {The Linearization Method for Constrained Optimization},
  timestamp      = {2020-08-21},
}

@InProceedings{RanMeg94a,
  author         = {Rantzer, A. and Megretski, A.},
  booktitle      = {Proc. 33rd IEEE Conf. Decision and Control},
  title          = {{S}ystem analysis via integral quadratic constraints},
  year           = {1994},
  address        = {Orlando, FL},
  pages          = {3062-3067},
  endnotereftype = {Conference Proceedings},
  shorttitle     = {System analysis via integral quadratic constraints},
  timestamp      = {2020-08-21},
}

@InProceedings{RotIwa94a,
  author         = {Rotea, M.A. and Iwasaki, T.},
  booktitle      = {Proc. Amer. Contr. Conf.},
  title          = {{A}n alternative to the {D-K} iteration?},
  year           = {1994},
  address        = {Baltimore, Maryland},
  pages          = {53-57},
  endnotereftype = {Conference Proceedings},
  shorttitle     = {An alternative to the {D-K} iteration?},
  timestamp      = {2020-08-21},
}

@InProceedings{RotPra94a,
  author         = {Rotea, M.A. and Prasanth, R.K.},
  booktitle      = {Proc. Amer. Contr. Conf.},
  title          = {{T}he {$/rho$}-performance measure: {A} new tool for controller design with multiple frequency domain specifications},
  year           = {1994},
  address        = {Baltimore, Maryland},
  pages          = {430-435},
  endnotereftype = {Conference Proceedings},
  shorttitle     = {The {$/rho$}-performance measure: A new tool for controller design with multiple frequency domain specifications},
  timestamp      = {2020-08-21},
}

@Article{RotSid94a,
  author         = {Rotstein, H. and Sideris, A.},
  journal        = {IEEE T. Automat. Contr.},
  title          = {{${/cal H}_\infty$} {O}ptimization with {T}ime-{D}omain {C}onstraints},
  year           = {1994},
  pages          = {762-779},
  volume         = {39},
  endnotereftype = {Journal Article},
  keywords       = {Multiobjective},
  shorttitle     = {{${/cal H}_\infty$} Optimization with Time-Domain Constraints},
  timestamp      = {2020-08-21},
}

@Article{Sha94a,
  author         = {Shamma, J.},
  journal        = {IEEE T. Automat. Contr.},
  title          = {{R}obust stability with time-varying structured uncertainty},
  year           = {1994},
  pages          = {714-724},
  volume         = {39},
  endnotereftype = {Journal Article},
  shorttitle     = {Robust stability with time-varying structured uncertainty},
  timestamp      = {2020-08-21},
}

@Article{Szn94a,
  author         = {Sznaier, M.},
  journal        = {IEEE T. Automat. Contr.},
  title          = {{A}n exact solution to general {SISO} mixed {${/cal H}_\infty/{/cal H}_2$} problems via convex optimization},
  year           = {1994},
  pages          = {2511-2517},
  volume         = {39},
  endnotereftype = {Journal Article},
  shorttitle     = {An exact solution to general {SISO} mixed {${/cal {H}}_\infty/{/cal {H}}_2$} problems via convex optimization},
  timestamp      = {2020-08-21},
}

@Article{TeePra94a,
  author         = {Teel, A. and Praly, L.},
  journal        = {Syst. Control Lett.},
  title          = {{G}lobal stabilizability and observability imply semi-global stabilizability by output feedback},
  year           = {1994},
  number         = {5},
  pages          = {313-325},
  endnotereftype = {Journal Article},
  shorttitle     = {Global stabilizability and observability imply semi-global stabilizability by output feedback},
  timestamp      = {2020-08-21},
}

@Article{Vin94a,
  author         = {Vinter, R.},
  journal        = {Syst. Control Lett.},
  title          = {{U}niqueness of solutions to the {Hamilton}-{Jacobi} equation},
  year           = {1994},
  number         = {4},
  pages          = {267-275},
  endnotereftype = {Journal Article},
  keywords       = {HJ},
  shorttitle     = {Uniqueness of solutions to the {Hamilton}-{Jacobi} equation},
  timestamp      = {2020-08-21},
}

@InCollection{Vou94a,
  author         = {Voulgaris, P.},
  booktitle      = {Proc. 34th IEEE Conf. Decision and Control},
  title          = {{O}ptimal {${/cal H_2}/l_1$} {C}ontrol: {T}he {SISO} {C}ase},
  year           = {1994},
  address        = {New Orleans, Louisiana},
  pages          = {3181-3186},
  endnotereftype = {Book Section},
  keywords       = {Multiobjective},
  shorttitle     = {Optimal {${/cal H_2}/l_1$} Control: The {SISO} Case},
  timestamp      = {2020-08-21},
}

@InProceedings{WalRid94a,
  author         = {Walker, D.E. and Ridgely, D.B.},
  booktitle      = {Proc. Amer. Contr. Conf.},
  title          = {{R}educed order mixed {$H_2/H_\infty$} optimization with a singular {$H_\infty$} constraint},
  year           = {1994},
  address        = {Baltimore, Maryland},
  pages          = {1008-1012},
  endnotereftype = {Conference Proceedings},
  shorttitle     = {Reduced order mixed {$H_2/H_\infty$} optimization with a singular {$H_\infty$} constraint},
  timestamp      = {2020-08-21},
}

@Article{You94a,
  author         = {Young, P.M.},
  journal        = {Automatica},
  title          = {{T}he {R}ank {O}ne {M}ixed $/mu$ {P}roblem and {K}haritonov-{T}ype {A}nalysis},
  year           = {1994},
  pages          = {1899-1911},
  volume         = {30},
  endnotereftype = {Journal Article},
  shorttitle     = {The Rank One Mixed $/mu$ Problem and Kharitonov-Type Analysis},
  timestamp      = {2020-08-21},
}

@InProceedings{YuHsu94a,
  author         = {Yu, X. and Hsu, C.S.},
  booktitle      = {Proc. Amer. Contr. Conf.},
  title          = {{R}educed-order {$H_\infty$} compensator design for nonstandard problems},
  year           = {1994},
  address        = {Baltimore, Maryland},
  pages          = {1138-1142},
  endnotereftype = {Conference Proceedings},
  shorttitle     = {Reduced-order {$H_\infty$} compensator design for nonstandard problems},
  timestamp      = {2020-08-21},
}

@InProceedings{ZhaJay94a,
  author         = {Zhao, Y. and Jayasuriya, S.},
  booktitle      = {Proc. Amer. Contr. Conf.},
  title          = {{O}n the robust stability of plant families with poles crossing the imaginary axis: {A} new small gain condition},
  year           = {1994},
  address        = {Baltimore, Maryland},
  pages          = {355-359},
  endnotereftype = {Conference Proceedings},
  shorttitle     = {On the robust stability of plant families with poles crossing the imaginary axis: A new small gain condition},
  timestamp      = {2020-08-21},
}

@InCollection{Ran93a,
  author         = {Rantzer, A.},
  booktitle      = {Proc. Amer. Contr. Conf.},
  title          = {{U}ncertainties {W}ith {B}ounded {R}ates of {V}ariation},
  year           = {1993},
  address        = {San Francisco},
  pages          = {29-30},
  endnotereftype = {Book Section},
  shorttitle     = {Uncertainties With Bounded Rates of Variation},
  timestamp      = {2020-08-21},
}

@Article{Rot93a,
  author         = {Rotea, M.A.},
  journal        = {Automatica},
  title          = {{The} generalized {${/cal H}_2$} control problem},
  year           = {1993},
  pages          = {373-385},
  volume         = {29},
  endnotereftype = {Journal Article},
  shorttitle     = {{The} generalized {${/cal H}_2$} control problem},
  timestamp      = {2020-08-21},
}

@Article{RotFra92a,
  author         = {Rotea, M.A. and Frazho, A.E.},
  journal        = {Syst. Control Lett.},
  title          = {{B}ounds on the solutions to {${/cal H}_\infty$} algebraic {Riccati} equations and {${/cal H}_2$} properties of {${/cal H}_\infty$} central solutions},
  year           = {1992},
  pages          = {341-352},
  endnotereftype = {Journal Article},
  shorttitle     = {Bounds on the solutions to {${/cal H}_\infty$} algebraic {Riccati} equations and {${/cal H}_2$} properties of {${/cal H}_\infty$} central solutions},
  timestamp      = {2020-08-21},
}

@Article{ShaAth92a,
  author         = {Shamma, J. and Athans, M.},
  journal        = {IEEE Contr. Syst. Mag.},
  title          = {{G}ain {S}cheduling: {P}otential {H}azards and {P}ossible {R}emedies},
  year           = {1992},
  pages          = {101-107},
  volume         = {12},
  endnotereftype = {Journal Article},
  shorttitle     = {Gain Scheduling: Potential Hazards and Possible Remedies},
  timestamp      = {2020-08-21},
}

@InProceedings{SivKha92a,
  author         = {Sivashankar, N. and Khargonekar, P.P.},
  booktitle      = {Proc. Amer. Contr. Conf.},
  title          = {{W}orst case performance analysis of linear systems with jumps with applications to sampled-data systems},
  year           = {1992},
  address        = {Chicago, Illinois},
  pages          = {692-696},
  endnotereftype = {Conference Proceedings},
  shorttitle     = {Worst case performance analysis of linear systems with jumps with applications to sampled-data systems},
  timestamp      = {2020-08-21},
}

@Book{Sto92a,
  author         = {Stoorvogel, A.A.},
  publisher      = {Prentice Hall},
  title          = {{The} {$H_\infty$} control problem: a state space approach},
  year           = {1992},
  address        = {Hemel Hempstead, UK},
  endnotereftype = {Book},
  shorttitle     = {{The} {$H_\infty$} control problem: a state space approach},
  timestamp      = {2020-08-21},
}

@Article{RioVet91a,
  author         = {Rioul, O. and Vetterli, M.},
  journal        = {IEEE Signal Processing Magazine},
  title          = {{W}avelets and signal processing},
  year           = {1991},
  pages          = {14-38},
  endnotereftype = {Journal Article},
  shorttitle     = {Wavelets and signal processing},
  timestamp      = {2020-08-21},
}

@Book{RocWet09,
  author         = {Rockafellar, R.T. and Wets, R. J-B.},
  publisher      = {Springer-Verlag},
  title          = {{V}ariational {A}nalysis},
  year           = {2009},
  address        = {Berlin},
  endnotereftype = {Book},
  file           = {:Books/Mathematics/ConvexAnalysis/RocWet09.pdf:PDF},
  groups         = {SetValued},
  shorttitle     = {Variational Analysis},
  timestamp      = {2020-08-21},
}

@InProceedings{SteBos91a,
  author         = {Steinbuch, M. and Bosgra, O.},
  booktitle      = {Proc. Amer. Contr. Conf.},
  title          = {{Necessary} conditions for static and fixed order dynamic mixed {$H_2/H_\infty$} optimal control},
  year           = {1991},
  pages          = {1137-1143},
  endnotereftype = {Conference Proceedings},
  shorttitle     = {{Necessary} conditions for static and fixed order dynamic mixed {$H_2/H_\infty$} optimal control},
  timestamp      = {2020-08-21},
}

@Article{Sto91a,
  author         = {Stoorvogel, A.A.},
  journal        = {SIAM J. Contr. Optim.},
  title          = {{T}he singular {$H_\infty$} control problem with dynamic measurement feedback},
  year           = {1991},
  pages          = {160-184},
  endnotereftype = {Journal Article},
  shorttitle     = {The singular {$H_\infty$} control problem with dynamic measurement feedback},
  timestamp      = {2020-08-21},
}

@Article{Saf90a,
  author         = {Safonov, M. G.},
  journal        = {International Journal of Control},
  title          = {{C}orrection},
  year           = {1990},
  issn           = {0020-7179},
  month          = {Sep},
  note           = {Dw315 Times Cited:0 Cited References Count:1},
  number         = {3},
  pages          = {767-767},
  volume         = {52},
  endnotereftype = {Journal Article},
  file           = {<Go to ISI>://A1990DW31500016},
  shorttitle     = {Correction},
  timestamp      = {2020-08-21},
}

@InProceedings{SefGlo90a,
  author         = {Sefton, J. and Glover, K.},
  booktitle      = {Syst. Control Lett.},
  title          = {{P}ole/zero cancellations in the general {${/cal H}_\infty$} problem with reference to a two block design},
  year           = {1990},
  pages          = {295-306},
  endnotereftype = {Conference Proceedings},
  shorttitle     = {Pole/zero cancellations in the general {${/cal H}_\infty$} problem with reference to a two block design},
  timestamp      = {2020-08-21},
}

@Book{Soo90a,
  author         = {Soo, S.L.},
  publisher      = {Science Press, Beijing},
  title          = {{M}ultiphase {F}luid {D}ynamics},
  year           = {1990},
  endnotereftype = {Book},
  shorttitle     = {Multiphase Fluid Dynamics},
  timestamp      = {2020-08-21},
}

@Article{StoTre90a,
  author         = {Stoorvogel, A.A. and Trentelman, H.L.},
  journal        = {SIAM J. Contr. Optim.},
  title          = {{T}he singular {$H_\infty$} control problem with state-feedback},
  year           = {1990},
  pages          = {1190-1208},
  endnotereftype = {Journal Article},
  shorttitle     = {The singular {$H_\infty$} control problem with state-feedback},
  timestamp      = {2020-08-21},
}

@InCollection{Tik90a,
  author         = {Tikhomirov, V.M.},
  booktitle      = {Analysis {II}},
  publisher      = {Springer-Verlag},
  title          = {{C}onvex {A}nalysis},
  year           = {1990},
  editor         = {Gamkrelidze, R.V.},
  pages          = {3-92},
  type           = {Overview of convexity techniques in infinite dimensions without proofs. Exhaustive, but not nicely readable.},
  endnotereftype = {Book Section},
  shorttitle     = {Convex Analysis},
  timestamp      = {2020-08-21},
}

@Article{WanSaf90a,
  author         = {Wang, W. and Safonov, M. G.},
  journal        = {Syst. Contr. Letters},
  title          = {{A} {T}ighter {R}elative-{E}rror {B}ound for {B}alanced {S}tochastic {T}runcation},
  year           = {1990},
  issn           = {0167-6911},
  month          = {Apr},
  note           = {De058 Times Cited:19 Cited References Count:14},
  number         = {4},
  pages          = {307-317},
  volume         = {14},
  endnotereftype = {Journal Article},
  file           = {<Go to ISI>://A1990DE05800004},
  shorttitle     = {A Tighter Relative-Error Bound for Balanced Stochastic Truncation},
  timestamp      = {2020-08-21},
}

@Article{SafChi89a,
  author         = {Safonov, M. G. and Chiang, R. Y.},
  journal        = {IEEE T. Automat. Contr.},
  title          = {{A} {S}chur {M}ethod for {B}alanced-{T}runcation {M}odel-{R}eduction},
  year           = {1989},
  issn           = {0018-9286},
  month          = {Jul},
  note           = {Ab812 Times Cited:158 Cited References Count:10},
  number         = {7},
  pages          = {729-733},
  volume         = {34},
  endnotereftype = {Journal Article},
  file           = {<Go to ISI>://A1989AB81200006},
  shorttitle     = {A Schur Method for Balanced-Truncation Model-Reduction},
  timestamp      = {2020-08-21},
}

@Article{SugHar89a,
  author         = {Sugie, T. and Hara, S.},
  journal        = {Syst. Control Lett.},
  title          = {{$H_\infty$}-suboptimal control problems with boundary constraints},
  year           = {1989},
  pages          = {93-99},
  endnotereftype = {Journal Article},
  shorttitle     = {{$H_\infty$}-suboptimal control problems with boundary constraints},
  timestamp      = {2020-08-21},
}

@Article{WeiWil89a,
  author         = {Weiland, S. and Willems, J.C.},
  journal        = {IEEE T. Automat. Contr.},
  title          = {{A}lmost disturbance decoupling with internal stability},
  year           = {1989},
  pages          = {277-286},
  volume         = {34},
  endnotereftype = {Journal Article},
  shorttitle     = {Almost disturbance decoupling with internal stability},
  timestamp      = {2020-08-21},
}

@Book{Par88a,
  author         = {Partington, J.H.},
  editor         = {Davies, E.B.},
  publisher      = {Cambridge University Press},
  title          = {{A}n introduction to {H}ankel {O}perators},
  year           = {1988},
  address        = {Cambridge},
  series         = {London Mathematical Society Student Texts},
  volume         = {13},
  endnotereftype = {Book},
  keywords       = {robust},
  shorttitle     = {An introduction to {H}ankel Operators},
  timestamp      = {2020-08-21},
}

@Article{RanRod88a,
  author         = {Ran, A.C.M. and Rodman, L.},
  journal        = {Math. Control Signals Systems},
  title          = {{O}n parameter dependence of solutions of algebraic {Riccati} equations},
  year           = {1988},
  pages          = {269-284},
  endnotereftype = {Journal Article},
  shorttitle     = {On parameter dependence of solutions of algebraic {Riccati} equations},
  timestamp      = {2020-08-21},
}

@Article{SafChi88a,
  author         = {Safonov, M. G. and Chiang, R. Y.},
  journal        = {IEEE T. Automat. Contr.},
  title          = {{C}acsd {U}sing the {S}tate-{S}pace {L}-{I}nfinity {T}heory - a {D}esign {E}xample},
  year           = {1988},
  issn           = {0018-9286},
  month          = {May},
  note           = {M9322 Times Cited:31 Cited References Count:19},
  number         = {5},
  pages          = {477-479},
  volume         = {33},
  endnotereftype = {Journal Article},
  file           = {<Go to ISI>://A1988M932200014},
  shorttitle     = {Cacsd Using the State-Space L-Infinity Theory - a Design Example},
  timestamp      = {2020-08-21},
}

@Article{SafLe88a,
  author         = {Safonov, M. G. and Le, V. X.},
  journal        = {Syst. Contr. Letters},
  title          = {{A}n {A}lternative {S}olution to the {H}-{I}nfinity-{O}ptimal {C}ontrol {P}roblem},
  year           = {1988},
  issn           = {0167-6911},
  month          = {Mar},
  note           = {M5975 Times Cited:5 Cited References Count:19},
  number         = {3},
  pages          = {155-158},
  volume         = {10},
  endnotereftype = {Journal Article},
  file           = {<Go to ISI>://A1988M597500002},
  shorttitle     = {An Alternative Solution to the H-Infinity-Optimal Control Problem},
  timestamp      = {2020-08-21},
}

@Article{ZhoKha88a,
  author         = {Zhou, K. and Khargonekar, P.P.},
  journal        = {Syst. Control Lett.},
  title          = {{A}n algebraic {Riccati} equation approach to {$H_\infty$} optimization},
  year           = {1988},
  pages          = {85-91},
  endnotereftype = {Journal Article},
  shorttitle     = {An algebraic {Riccati} equation approach to {$H_\infty$} optimization},
  timestamp      = {2020-08-21},
}

@InProceedings{Pet87a,
  author         = {Petersen, I.R.},
  booktitle      = {Syst. Control Lett.},
  title          = {{A} stabilization algorithm for a class of uncertain linear systems},
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}

@Book{SeiSyd87a,
  author         = {Seierstad, A. and Sydsaeter, K.},
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  year           = {1987},
  address        = {Amsterdam},
  endnotereftype = {Book},
  shorttitle     = {Optimal Control Theory with Economic Applications},
  timestamp      = {2020-08-21},
}

@InProceedings{SznDam87a,
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@Book{Rud86a,
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  title          = {{R}eal and complex analysis},
  year           = {1986},
  address        = {New York},
  edition        = {3rd},
  series         = {Mathematics Series},
  endnotereftype = {Book},
  keywords       = {analysis},
  shorttitle     = {Real and complex analysis},
  timestamp      = {2020-08-21},
}

@Article{Saf86a,
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  year           = {1986},
  issn           = {0167-6911},
  month          = {Jul},
  note           = {D5424 Times Cited:11 Cited References Count:13},
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  volume         = {7},
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  timestamp      = {2020-08-21},
}

@Book{Pin85a,
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  series         = {{E}rgebnisse der {M}athematik und ihrer {G}renzgebiete},
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  shorttitle     = {$n$-widths in approximation theory},
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@Article{SafVer85a,
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  journal        = {IEEE T. Automat. Contr.},
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  year           = {1985},
  issn           = {0018-9286},
  note           = {Acz78 Times Cited:25 Cited References Count:24},
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  pages          = {279-280},
  volume         = {30},
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  shorttitle     = {L-Infinity Optimization and Hankel Approximation},
  timestamp      = {2020-08-21},
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@Book{Vid85a,
  author         = {Vidyasagar, M.},
  publisher      = {MIT Press},
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  address        = {Cambridge},
  endnotereftype = {Book},
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}

@Book{Won85a,
  author         = {Wonham, W.M.},
  publisher      = {Springer-Verlag},
  title          = {{L}inear {M}ultivariable {C}ontrol},
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  address        = {Berlin},
  edition        = {3rd},
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}

@Book{Tie84a,
  author         = {Tiel, J. Van},
  publisher      = {John Wiley /\& Sons},
  title          = {{C}onvex {A}nalysis},
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  shorttitle     = {Convex Analysis},
  timestamp      = {2020-08-21},
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@Article{Saf83a,
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  note           = {Ra004 Times Cited:1 Cited References Count:24},
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  timestamp      = {2020-08-21},
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@Article{Saf82c,
  author         = {Safonov, M. G.},
  journal        = {IEEE T. Automat. Contr.},
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  year           = {1982},
  issn           = {0018-9286},
  note           = {Nh537 Times Cited:0 Cited References Count:1},
  number         = {2},
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  shorttitle     = {Correction},
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@Article{Saf82d,
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  title          = {{M}ultivariable {S}tability-{M}argin {O}ptimization with {D}ecoupling and {O}utput {R}egulation},
  year           = {1982},
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  note           = {Px630 Times Cited:38 Cited References Count:17},
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@Article{Saf82e,
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@Article{Son82a,
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@Article{VisVid81a,
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@Article{WeiBos80a,
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@Book{Sze75a,
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@Book{Roz67a,
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@InProceedings{AdlMir09,
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@PhdThesis{Alv12,
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@Manual{ApS,
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@PhdThesis{Bok12,
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  pages     = {1296--1301},
  volume    = {2},
  file      = {:Articles/Yed02.pdf : PDF},
  timestamp = {2020-08-21},
}

@Article{YuaWu16,
  author    = {Yuan, Chengzhi and Wu, Fen},
  journal   = {{IEEE} transactions on cybernetics},
  title     = {Dynamic {IQC}-based control of uncertain {LFT} systems with time-varying state delay},
  year      = {2016},
  number    = {12},
  pages     = {3320--3329},
  volume    = {46},
  file      = {:Articles/YuaWu16.pdf : PDF},
  publisher = {{IEEE}},
  timestamp = {2020-08-21},
}

@Article{ZacTee05,
  author    = {Zaccarian, Luca and Teel, Andrew R.},
  journal   = {Automatica},
  title     = {The {$\mathcal{L}_2$ ($l_2$)} bumpless transfer problem for linear plants: Its definition and solution},
  year      = {2005},
  number    = {7},
  pages     = {1273--1280},
  volume    = {41},
  file      = {:SaturationLiterature/ZacTee05.pdf :PDF},
  publisher = {Elsevier},
  timestamp = {2020-08-21},
}

@Misc{ZacTee09,
  author    = {Zaccarian, Luca and Teel, Andrew R.},
  month     = jun,
  title     = {Analysis and synthesis of feedback systems: quadratic functions and {LMIs}},
  year      = {2009},
  file      = {:SectorLiterature/ZacTee09.pdf : PDF},
  timestamp = {2020-08-21},
}

@Book{Zha17,
  author    = {Xiao-Qiang Zhao},
  publisher = {Springer},
  title     = {Dynamical systems in population biology},
  year      = {2017},
  edition   = {2},
  file      = {:Books/Francis/DynamicalSystems/Zha17.pdf : PDF},
  timestamp = {2020-08-21},
}

@Article{ZhaZho01,
  author    = {Zhao, Y. and Zhou, S.P.},
  journal   = {Acta Mathematica Hungarica},
  title     = {Approximation by reciprocals of polynomials with positive coefficients in {$L^p$} spaces},
  year      = {2001},
  number    = {3},
  pages     = {205--217},
  volume    = {92},
  file      = {:Articles/ZhaZho01.pdf: PDF},
  publisher = {Springer},
  timestamp = {2020-08-21},
}

@Book{ZhoDoy99,
  author    = {Zhou, Kemin and Doyle, John C.},
  publisher = {Prentice hall Upper Saddle River, {NJ}},
  title     = {Essentials of robust control},
  year      = {1999},
  file      = {:Books/Robust/ZhoDoy99.pdf : PDF},
  timestamp = {2020-08-21},
}

@InProceedings{THEALG05,
  author    = {CONTROL THEORY and ITS ALGEBRAIC-ANALYTIC and PROPERTIES},
  title     = {A SUBALGEBRA OF THE HARDY ALGEBRA RELEVANT IN},
  year      = {1305},
  abstract  = {We denote by A0 + AP+ the Banach algebra of all complex-valued functions
f defined in the closed right halfplane, such that f is the sum of a holomorphic function
vanishing at infinity and a �causal� almost periodic function. We give a complete description
of the maximum ideal space M(A0 + AP+) of A0 + AP+. Using this description, we also
establish the following results:
(1) The corona theorem for A0 + AP+.
(2) M(A0 + AP+) is contractible (which implies that A0 +AP+ is a projective free ring).
(3) A0 + AP+ is not a GCD domain.
(4) A0 + AP+ is not a pre-Bezout domain.
(5) A0 + AP+ is not a coherent ring.},
  file      = {:X\:/bibfiles/down/1305.1452.pdf:PDF},
  timestamp = {2020-08-21},
}

@InProceedings{Conobs12,
  author    = {Controllability and observability of grid graphs},
  year      = {2012},
  file      = {:X\:/bibfiles/down/2012sbm_np_grid.pdf:PDF},
  timestamp = {2020-08-21},
}

@Misc{,
  title     = {curto.dvi},
  file      = {:X\:/bibfiles/down/bcp3816.pdf:PDF},
  timestamp = {2020-08-21},
}

@Article{Dok13,
  author    = {Nikolai Dokuchaev},
  journal   = {Systems {\&} Control Letters},
  title     = {Optimal replication of random vectors by ordinary integrals},
  year      = {2013},
  month     = {jan},
  number    = {1},
  pages     = {43--47},
  volume    = {62},
  doi       = {10.1016/j.sysconle.2012.10.013},
  file      = {:X\:/bibfiles/down/Dokuchaev_2013_Systems-&-Control-Letters.pdf:PDF},
  publisher = {Elsevier {BV}},
  timestamp = {2020-08-21},
}

@InProceedings{HAU05,
  author    = {RAPHAEL HAUSER},
  title     = {THE S-PROCEDURE VIA DUAL CONE CALCULUS},
  year      = {1305},
  abstract  = {Given a quadratic function h that satisfies a Slater condition, Yakubovich�s S-
Procedure (or S-Lemma) gives a characterization of all other quadratic functions that are copositive
with h in a form that is amenable to numerical computations. In this paper we present a deep-rooted
connection between the S-Procedure and the dual cone calculus formula (K K )?1 ? 2 = K? + K?,1 2
which holds for closed convex cones in R2. To establish the link with the S-Procedure, we generalize
the dual cone calculus formula to a situation where K1 is nonclosed, nonconvex and nonconic but
exhibits sufficient mathematical resemblance to a closed convex cone. As a result, we obtain a new
proof of the S-Lemma and an extension to Hilbert space kernels.},
  file      = {:X\:/bibfiles/down/Hauser.pdf:PDF},
  timestamp = {2020-08-21},
}

@Article{HeiLiu13,
  author    = {Mohsen Heidarinejad and Jinfeng Liu and Panagiotis D. Christofides},
  journal   = {Systems {\&} Control Letters},
  title     = {Economic model predictive control of switched nonlinear systems},
  year      = {2013},
  month     = {jan},
  number    = {1},
  pages     = {77--84},
  volume    = {62},
  doi       = {10.1016/j.sysconle.2012.11.002},
  file      = {:X\:/bibfiles/down/Heidarinejad_2013_Systems-&-Control-Letters.pdf:PDF},
  publisher = {Elsevier {BV}},
  timestamp = {2020-08-21},
}

@InProceedings{MicEbe14,
  author    = {Simon Michalowsky and Christian Ebenbauer},
  booktitle = {53rd IEEE Conference on Decision and Control December 15-17, 2014. Los Angeles, California, USA},
  title     = {The multidimensional n-th order heavy ball method and its application to extremum seeking},
  year      = {2014},
  publisher = {IEEE},
  abstract  = {In this paper the extension of the heavy ball n-th order systems. We provide a rigorous stability proof
method to n-th order integrator dynamics is considered. We based on a robust stability analysis of the n-th order gen-
propose a gradient based controller that achieves to find the eralization of the heavy ball method which, to the best of
extremum of a function depending on multiple variables and
prove asymptotic stability for all functions from the set of our knowledge, cannot be found in the literature. There
strongly convex functions. Furthermore, we propose a gradient- exist results based on backstepping [1] which, in the context
free extremum seeking controller that approximates the pro- of extremum seeking, work for second order systems but
posed gradient-based controller and prove practical asymp- the present solution for systems of arbitrary order is new.
totic stability of the extremum using Lie bracket averaging Secondly, we propose an extremum seeking scheme which
techniques. The result does not rely on singular perturbation
methods and provides a new approach to extremum seeking mimics the heavy ball method. Besides the motivation from
for dynamic maps. multi-agent systems, our results can be seen as a first},
  file      = {:X\:/bibfiles/Papers/SchEbe20/MicEbe14.pdf:PDF},
  groups    = {SchEbe20},
  timestamp = {2020-08-21},
}

@Article{MicSch,
  author    = {Simon Michalowsky and Carsten Scherer and Christian Ebenbauer},
  title     = {Robust and structure exploiting optimization algorithms: An integral quadratic constraint approach},
  year      = {2020},
  abstract  = {We consider the problem of analyzing and been published [2, 14, 8, 34, 30, 19, 20], partly also pro-
designing gradient-based discrete-time optimization al- viding different approaches for convergence rate anal-
gorithms for a class of unconstrained optimization prob- ysis using techniques from robust control. However,
lems having strongly convex objective functions with convergence rates are only one side of the coin; in sev-
Lipschitz continuous gradient. By formulating the prob- eral applications, e.g., in a data-based setting, also ro-
lem as a robustness analysis problem and making use of bustness with respect to various kinds of disturbances
a suitable adaptation of the theory of integral quadratic is a key issue. In addition, the problem of designing
constraints, we establish a framework that allows to an- algorithms specifically tailored to classes of structured
alyze convergence rates and robustness properties of optimization problems has only been touched upon so
existing algorithms and design novel robust optimiza- far [7, 9]. However, in situations where a class of opti-
tion algorithms with prespecified guarantees capable mization problems needs to be solved repeatedly online,
of exploiting additional structure in the objective func- as it is for example the case in model predictive control
tion. or reinforcement learning, well-performing algorithms},
  file      = {:X\:/bibfiles/Papers/SchEbe20/MicSch20.pdf:PDF},
  groups    = {SchEbe20},
  timestamp = {2020-08-21},
}

@InProceedings{WanEli11,
  author    = {Jing Wang and Nicola Elia},
  booktitle = {IEEE Conference on Decision and Control and European Control Conference Orlando, FL, USA},
  title     = {A Control Perspective for Centralized and Distributed Convex Optimization},
  year      = {2011},
  publisher = {IEEE},
  abstract  = {In this paper, we want to study how natural applying it to a basic Network Utility Maximization problem,
and engineered systems could perform complex optimizations [5]�[8]. We then turn our attention to problems where the
with limited computational and communication capabilities. distributed structure needs to be imposed as these problems
We adopt a continuous-time dynamical system view rooted
in early work on optimization and more recently in network need to be solved over networks, [9]-[14]. We show that the},
  file      = {:X\:/bibfiles/Papers/SchEbe20/WanEli11.pdf:PDF},
  groups    = {SchEbe20},
  timestamp = {2020-08-21},
}

@InProceedings{NelMal18,
  author     = {Zachary E. Nelson and Enrique Mallada},
  booktitle  = {2018 Annual American Control Conference ({ACC})},
  title      = {An integral quadratic constraint framework for real-time steady-state optimization of linear time-invariant systems},
  year       = {2018},
  doi        = {10.23919/acc.2018.8431231},
  file       = {:Papers/SchEbe20/NelMal18.pdf:PDF},
  groups     = {SchEbe20},
  keywords   = {prio1, skimmed},
  priority   = {prio1},
  readstatus = {skimmed},
  timestamp  = {2020-08-21},
}

@InProceedings{MicEbe16a,
  author    = {Simon Michalowsky and Christian Ebenbauer},
  booktitle = {2016 {IEEE} 55th Conference on Decision and Control ({CDC})},
  title     = {Extremum control of linear systems based on output feedback},
  year      = {2016},
  publisher = {{IEEE}},
  doi       = {10.1109/cdc.2016.7798711},
  file      = {:Papers/SchEbe20/MicEbe16a.pdf:PDF},
  groups    = {SchEbe20},
  timestamp = {2020-08-21},
}

@Article{DhiKho19,
  author    = {Dhingra, Neil K. and Khong, Sei Zhen and Jovanovic, Mihailo R.},
  journal   = {IEEE Transactions on Automatic Control},
  title     = {The {Proximal} {Augmented} {Lagrangian} {Method} for {Nonsmooth} {Composite} {Optimization}},
  year      = {2019},
  issn      = {1558-2523},
  month     = jul,
  number    = {7},
  pages     = {2861--2868},
  volume    = {64},
  abstract  = {We study a class of optimization problems in which the objective function is given by the sum of a differentiable but possibly nonconvex component and a nondifferentiable convex regularization term. We introduce an auxiliary variable to separate the objective function components and utilize the Moreau envelope of the regularization term to derive the proximal augmented Lagrangian-a continuously differentiable function obtained by constraining the augmented Lagrangian to the manifold that corresponds to the explicit minimization over the variable in the nonsmooth term. The continuous differentiability of this function with respect to both primal and dual variables allows us to leverage the method of multipliers (MM) to compute optimal primal-dual pairs by solving a sequence of differentiable problems. The MM algorithm is applicable to a broader class of problems than proximal gradient methods and it has stronger convergence guarantees and a more refined step-size update rules than the alternating direction method of multipliers (ADMM). These features make it an attractive option for solving structured optimal control problems. We also develop an algorithm based on the primal-descent dual-ascent gradient method and prove global (exponential) asymptotic stability when the differentiable component of the objective function is (strongly) convex and the regularization term is convex. Finally, we identify classes of problems for which the primal-dual gradient flow dynamics are convenient for distributed implementation and compare/contrast our framework to the existing approaches.},
  doi       = {10.1109/TAC.2018.2867589},
  file      = {:Papers/SchEbe20/DhiKon18.pdf:PDF},
  groups    = {SchEbe20},
  keywords  = {asymptotic stability, concave programming, convex programming, gradient methods, minimisation, optimal control, optimal control problems, dual-ascent gradient method, primal-dual gradient flow dynamics, nonsmooth composite optimization, optimization problems, nondifferentiable convex regularization term, Moreau envelope, explicit minimization, continuous differentiability, differentiable problems, MM algorithm, proximal gradient methods, alternating direction method of multipliers, proximal augmented Lagrangian method, Minimization, Convergence, Standards, Linear programming, Gradient methods, Asymptotic stability, Augmented Lagrangian, control for optimization, global exponential stability, method of multipliers, non-smooth optimization, primal-dual dynamics, proximal algorithms, proximal augmented Lagrangian, regularization for design, structured optimal control},
  timestamp = {2020-08-21},
}

@Article{NagVou19,
  author      = {Mohammad Naghnaeian and Petros G. Voulgaris and Nicola Elia},
  title       = {A Youla Operator State-Space Framework for Stably Realizable Distributed Control},
  abstract    = {This paper deals with the problem of distributed control synthesis. We seek to find structured controllers that are stably realizable over the underlying network. We address the problem using an operator form of discrete-time linear systems. This allows for uniform treatment of various classes of linear systems, e.g., Linear Time Invariant (LTI), Linear Time Varying (LTV), or linear switched systems. We combine this operator representation for linear systems with the classical Youla parameterization to characterize the set of stably realizable controllers for a given network structure. Using this Youla Operator State-Space (YOSS) framework, we show that if the structure satisfies certain subspace like assumptions, then both stability and performance problems can be formulated as convex optimization and more precisely as tractable model-matching problems to any a priori accuracy. Furthermore, we show that the structured controllers found from our approach can be stably realized over the network and provide a generalized separation principle.},
  date        = {2019-10-02},
  eprint      = {1910.01045v1},
  eprintclass = {math.OC},
  eprinttype  = {arXiv},
  file        = {:http\://arxiv.org/pdf/1910.01045v1:PDF},
  keywords    = {math.OC, cs.SY, eess.SY, math.DS},
  timestamp   = {2020-08-21},
}

@Article{ZheFur19,
  author       = {Yang Zheng and Luca Furieri and Antonis Papachristodoulou and Na Li and Maryam Kamgarpour},
  title        = {On the Equivalence of Youla, System-level and Input-output Parameterizations},
  abstract     = {A convex parameterization of internally stabilizing controllers is fundamental for many controller synthesis procedures. The celebrated Youla parameterization relies on a doubly-coprime factorization of the system, while the recent system-level and input-output characterizations require no doubly-coprime factorization but a set of equality constraints for achievable closed-loop responses. In this paper, we present explicit affine mappings among Youla, system-level and input-output parameterizations. Two direct implications of the affine mappings are 1) any convex problem in Youla, system level, or input-output parameters can be equivalently and convexly formulated in any other one of these frameworks, including the convex system-level synthesis (SLS); 2) the condition of quadratic invariance (QI) is sufficient and necessary for the classical distributed control problem to admit an equivalent convex reformulation in terms of Youla, system-level, or input-output parameters.},
  date         = {2019-07-14},
  doi          = {10.1109/TAC.2020.2979785},
  eprint       = {1907.06256v1},
  eprintclass  = {math.OC},
  eprinttype   = {arXiv},
  file         = {:http\://arxiv.org/pdf/1907.06256v1:PDF},
  groups       = {Markings},
  journaltitle = {IEEE Transactions on Automatic Control, 2020},
  keywords     = {math.OC},
  timestamp    = {2020-08-21},
}

@Article{Djo12,
  author      = {Seddik M. Djouadi},
  title       = {Optimal Disturbance Rejection and Robustness for Infinite Dimensional LTV Systems},
  abstract    = {In this paper, we consider the optimal disturbance rejection problem for possibly infinite dimensional linear time-varying (LTV) systems using a framework based on operator algebras of classes of bounded linear operators. This approach does not assume any state space representation and views LTV systems as causal operators. After reducing the problem to a shortest distance minimization in a space of bounded linear operators, duality theory is applied to show existence of optimal solutions, which satisfy a "time-varying" allpass or flatness condition. Under mild assumptions the optimal TV controller is shown to be essentially unique. Next, the concept of M-ideals of operators is used to show that the computation of time-varying (TV) controllers reduces to a search over compact TV Youla parameters. This involves the norm of a TV compact Hankel operator defined on the space of causal trace-class 2 operators and its maximal vectors. Moreover, an operator identity to compute the optimal TV Youla parameter is provided. These results are generalized to the mixed sensitivity problem for TV systems as well, where it is shown that the optimum is equal to the operator induced of a TV mixed Hankel-Toeplitz. The final outcome of the approach developed here is that it leads to two tractable finite dimensional convex optimizations producing estimates to the optimum within desired tolerances, and a method to compute optimal time-varying controllers.},
  date        = {2012-07-12},
  eprint      = {1207.3120v1},
  eprintclass = {math.OC},
  eprinttype  = {arXiv},
  file        = {:http\://arxiv.org/pdf/1207.3120v1:PDF},
  keywords    = {math.OC, 93},
  timestamp   = {2020-08-21},
}

@Article{LesLal13a,
  author      = {Laurent Lessard and Sanjay Lall},
  title       = {Convexity of Decentralized Controller Synthesis},
  abstract    = {In decentralized control problems, a standard approach is to specify the set of allowable decentralized controllers as a closed subspace of linear operators. This then induces a corresponding set of Youla parameters. Previous work has shown that quadratic invariance of the controller set implies that the set of Youla parameters is convex. In this paper, we prove the converse. We thereby show that the only decentralized control problems for which the set of Youla parameters is convex are those which are quadratically invariant. We further show that under additional assumptions, quadratic invariance is necessary and sufficient for the set of achievable closed-loop maps to be convex. We give two versions of our results. The first applies to bounded linear operators on a Banach space and the second applies to (possibly unstable) causal LTI systems in discrete or continuous time.},
  date        = {2013-05-24},
  eprint      = {1305.5859v2},
  eprintclass = {cs.SY},
  eprinttype  = {arXiv},
  file        = {:http\://arxiv.org/pdf/1305.5859v2:PDF},
  keywords    = {cs.SY, math.OC},
  timestamp   = {2020-08-21},
}

@Article{SasIsh19,
  author      = {Hampei Sasahara and Takayuki Ishizaki and Jun-ichi Imura},
  title       = {Parameterization of Retrofit Controllers},
  abstract    = {This study investigates a parameterization of all retrofit controllers. Retrofit control can accomplish modular design of control systems, i.e., independent design of subcontrollers only with its corresponding subsystem model in a dynamical network system. In the retrofit control framework, the network system to be controlled is regarded as an interconnected system composed of the subsystem of interest and an environment. Existing studies have revealed that all retrofit controllers can be characterized as a constrained Youla parameterization under the technical assumption that the subsystem of interest is stable. It has also been discovered that all of the retrofit controllers that belong to a particular tractable class have a distinctive internal structure composed of a rectifier and an internal controller under the additional technical assumption that the interconnection signal from the environment to the subsystem of interest is measurable or that the internal state of the subsystem of interest is measurable. Due to the internal structure, the retrofit controller design problem under the assumptions can be reduced to a standard controller design problem to which existing controller synthesis techniques can be applied. The aim of this paper is to extend the above results without the technical assumptions. It is found that the existing developments can naturally be generalized through the Youla parameterization for unstable systems and an explicit description of the inverse system with the geometric control theory. The result leads to the conclusion that retrofit controllers can readily be designed even in the general case.},
  date        = {2019-11-12},
  eprint      = {1911.04915v2},
  eprintclass = {eess.SY},
  eprinttype  = {arXiv},
  file        = {:http\://arxiv.org/pdf/1911.04915v2:PDF},
  keywords    = {eess.SY, cs.SY},
  timestamp   = {2020-08-21},
}

@Article{Mor99,
  author      = {Kazuyoshi Mori},
  title       = {A Parameterization of Stabilizing Controllers over Commutative Rings},
  abstract    = {We present a parameterization of the stabilizing controllers over commutative rings. In the classical case, that is, in the case where there exist the right-/left-coprime factorizations of the given plant, the stabilizing controllers can be parameterized by the method called ``Youla-Kucera-parameterization''. However, it is known that there exist models in which some stabilizable transfer matrices do not have their right-/left-coprime factorizations. In such models, we cannot employ the Youla-Kucera-parameterization directly. Our method of this paper can be applied to even such models.},
  date        = {1999-08-17},
  eprint      = {math/9908087v2},
  eprintclass = {math.OC},
  eprinttype  = {arXiv},
  file        = {:http\://arxiv.org/pdf/math/9908087v2:PDF},
  keywords    = {math.OC, 93A05;93C05;93C35;93B50;93D15},
  timestamp   = {2020-08-21},
}

@Article{SicPet15,
  author      = {Arash Kh. Sichani and Ian R. Petersen and Igor G. Vladimirov},
  title       = {Parameterization of Stabilizing Linear Coherent Quantum Controllers},
  abstract    = {This paper is concerned with application of the classical Youla-Ku\v{c}era parameterization to finding a set of linear coherent quantum controllers that stabilize a linear quantum plant. The plant and controller are assumed to represent open quantum harmonic oscillators modelled by linear quantum stochastic differential equations. The interconnections between the plant and the controller are assumed to be established through quantum bosonic fields. In this framework, conditions for the stabilization of a given linear quantum plant via linear coherent quantum feedback are addressed using a stable factorization approach. The class of stabilizing quantum controllers is parameterized in the frequency domain. Also, this approach is used in order to formulate coherent quantum weighted $H_2$ and $H_\infty$ control problems for linear quantum systems in the frequency domain. Finally, a projected gradient descent scheme is proposed to solve the coherent quantum weighted $H_2$ control problem.},
  date        = {2015-03-07},
  eprint      = {1503.02118v1},
  eprintclass = {quant-ph},
  eprinttype  = {arXiv},
  file        = {:http\://arxiv.org/pdf/1503.02118v1:PDF},
  keywords    = {quant-ph, cs.SY, math.OC, 81Q93, 93D15, 47N70, 93E20},
  timestamp   = {2020-08-21},
}

@Article{LiEli18,
  author      = {Chong Li and Nicola Elia},
  title       = {Youla Coding and Computation of Gaussian Feedback Capacity},
  abstract    = {In this paper, we propose an approach to numerically compute the feedback capacity of stationary finite dimensional Gaussian channels and construct (arbitrarily close to) capacity-achieving feedback codes. In particular, we first extend the interpretation of feedback communication over stationary finite dimensional Gaussian channels as feedback control systems by showing that, the problem of finding stabilizing feedback controllers with maximal reliable transmission rate over Youla parameters coincides with the problem of finding strictly causal filters to achieve feedback capacity derived in [2]. This extended interpretation provides an approach to construct deterministic feedback coding schemes with double exponential decaying error probability. We next propose asymptotic capacity-achieving upper bounds, which can be numerically evaluated by solving finite dimensional convex optimizations. From the filters that achieve the upper bounds, we apply the Youla-based interpretation to construct feasible filters, i.e., feedback codes, leading to a sequence of lower bounds. We prove the sequence of lower bounds is asymptotically capacity-achieving.},
  date        = {2018-01-12},
  eprint      = {1801.04190v1},
  eprintclass = {cs.IT},
  eprinttype  = {arXiv},
  file        = {:http\://arxiv.org/pdf/1801.04190v1:PDF},
  keywords    = {cs.IT, math.IT},
  timestamp   = {2020-08-21},
}

@Article{SabOar15,
  author      = {Serban Sabau and Cristian Oara and Sean Warnick and Ali Jadbabaie},
  title       = {Optimal distributed control for platooning via sparse coprime factorizations},
  abstract    = {We introduce a novel distributed control architecture for heterogeneous platoons of linear time--invariant autonomous vehicles. Our approach is based on a generalization of the concept of {\em leader--follower} controllers for which we provide a Youla--like parameterization while the sparsity constraints are imposed on the controller's left coprime factors, outlying a new concept of structural constraints in distributed control. The proposed scheme is amenable to optimal controller design via norm based costs, it guarantees string stability and eliminates the accordion effect from the behavior of the platoon. We also introduce a synchronization mechanism for the exact compensation of the time delays induced by the wireless broadcasting of information.},
  date        = {2015-10-29},
  eprint      = {1510.08915v1},
  eprintclass = {cs.SY},
  eprinttype  = {arXiv},
  file        = {:http\://arxiv.org/pdf/1510.08915v1:PDF},
  keywords    = {cs.SY},
  timestamp   = {2020-08-21},
}

@Article{FurKam19,
  author      = {Luca Furieri and Maryam Kamgarpour},
  title       = {First Order Methods For Globally Optimal Distributed Controllers Beyond Quadratic Invariance},
  abstract    = {We study the distributed Linear Quadratic Gaussian (LQG) control problem in discrete-time and finite-horizon, where the controller depends linearly on the history of the outputs and it is required to lie in a given subspace, e.g. to possess a certain sparsity pattern. It is well-known that this problem can be solved with convex programming within the Youla domain if and only if a condition known as Quadratic Invariance (QI) holds. In this paper, we first show that given QI sparsity constraints, one can directly descend the gradient of the cost function within the domain of output-feedback controllers and converge to a global optimum. Note that convergence is guaranteed despite non-convexity of the cost function. Second, we characterize a class of Uniquely Stationary (US) problems, for which first-order methods are guaranteed to converge to a global optimum. We show that the class of US problems is strictly larger than that of strongly QI problems and that it is not included in that of QI problems. We refer to Figure 1 for details. Finally, we propose a tractable test for the US property.},
  date        = {2019-09-24},
  eprint      = {1909.10999v1},
  eprintclass = {eess.SY},
  eprinttype  = {arXiv},
  file        = {:http\://arxiv.org/pdf/1909.10999v1:PDF},
  groups      = {SchEbe20},
  keywords    = {eess.SY, cs.SY, math.OC},
  timestamp   = {2020-08-21},
}

@Book{TucWei09,
  author    = {Marius Tucsnak and George Weiss},
  publisher = {Birkh�user Basel},
  title     = {Observation and Control for Operator Semigroups},
  year      = {2009},
  doi       = {10.1007/978-3-7643-8994-9},
  file      = {:X\:/bibfiles/Books/Control/InfiniteDimensional/TuscnacWeiss.pdf:PDF},
  groups    = {InfiniteDimensional},
  timestamp = {2020-08-21},
}

@Article{Sun17,
  author      = {Jingrui Sun},
  title       = {Linear Quadratic Optimal Control Problems with Fixed Terminal States and Integral Quadratic Constraints},
  abstract    = {This paper is concerned with a linear quadratic (LQ, for short) optimal control problem with fixed terminal states and integral quadratic constraints. A Riccati equation with infinite terminal value is introduced, which is uniquely solvable and whose solution can be approximated by the solution for a suitable unconstrained LQ problem with penalized terminal state. Using results from duality theory, the optimal control is explicitly derived by solving the Riccati equation together with an optimal parameter selection problem. It turns out that the optimal control is not only a feedback of the current state, but also a feedback of the target (terminal state). Some examples are presented to illustrate the theory developed.},
  date        = {2017-05-10},
  eprint      = {1705.03656v1},
  eprintclass = {math.OC},
  eprinttype  = {arXiv},
  file        = {:http\://arxiv.org/pdf/1705.03656v1:PDF},
  groups      = {Markings},
  keywords    = {math.OC, 49J15, 49N10, 49N35, 93B05},
  timestamp   = {2020-08-21},
}

@Article{SchVee18,
  author      = {Carsten W. Scherer and Joost Veenman},
  title       = {Stability analysis by dynamic dissipation inequalities: On merging frequency-domain techniques with time-domain conditions},
  abstract    = {In this paper we provide a complete link between dissipation theory and a celebrated result on stability analysis with integral quadratic constraints. This is achieved with a new stability characterization for feedback interconnections based on the notion of finite-horizon integral quadratic constraints with a terminal cost. As the main benefit, this opens up opportunities for guaranteeing constraints on the transient responses of trajectories in feedback loops within absolute stability theory. For parametric robustness, we show how to generate tight robustly invariant ellipsoids on the basis of a classical frequency-domain stability test, with illustrations by a numerical example.},
  date        = {2018-03-15},
  eprint      = {1803.05804v1},
  eprintclass = {math.OC},
  eprinttype  = {arXiv},
  file        = {:http\://arxiv.org/pdf/1803.05804v1:PDF},
  groups      = {Markings, CSM20},
  keywords    = {math.OC},
  timestamp   = {2020-08-21},
}

@Article{BocLes15a,
  author      = {Ross Boczar and Laurent Lessard and Benjamin Recht},
  title       = {Exponential Convergence Bounds using Integral Quadratic Constraints},
  abstract    = {The theory of integral quadratic constraints (IQCs) allows verification of stability and gain-bound properties of systems containing nonlinear or uncertain elements. Gain bounds often imply exponential stability, but it can be challenging to compute useful numerical bounds on the exponential decay rate. In this work, we present a modification of the classical IQC results of Megretski and Rantzer that leads to a tractable computational procedure for finding exponential rate certificates.},
  date        = {2015-03-24},
  eprint      = {1503.07222v4},
  eprintclass = {cs.SY},
  eprinttype  = {arXiv},
  file        = {:http\://arxiv.org/pdf/1503.07222v4:PDF},
  groups      = {Markings},
  keywords    = {cs.SY, math.OC},
  timestamp   = {2020-08-21},
}

@Article{BocLes17,
  author      = {Ross Boczar and Laurent Lessard and Andrew Packard and Benjamin Recht},
  title       = {Exponential Stability Analysis via Integral Quadratic Constraints},
  abstract    = {The theory of integral quadratic constraints (IQCs) allows verification of stability and gain-bound properties of systems containing nonlinear or uncertain elements. Gain bounds often imply exponential stability, but it can be challenging to compute useful numerical bounds on the exponential decay rate. This work presents a generalization of the classical IQC results of Megretski and Rantzer that leads to a tractable computational procedure for finding exponential rate certificates that are far less conservative than ones computed from $L_2$ gain bounds alone. An expanded library of IQCs for certifying exponential stability is also provided and the effectiveness of the technique is demonstrated via numerical examples.},
  date        = {2017-06-02},
  eprint      = {1706.01337v1},
  eprintclass = {cs.SY},
  eprinttype  = {arXiv},
  file        = {:http\://arxiv.org/pdf/1706.01337v1:PDF},
  groups      = {Markings},
  keywords    = {cs.SY, math.OC},
  timestamp   = {2020-08-21},
}

@Article{WanMan19,
  author      = {Ruigang Wang and Ian R. Manchester},
  title       = {Robust Contraction Analysis of Nonlinear Systems via Differential IQC},
  abstract    = {We present a new approach to verifying contraction and $L_2$-gain of uncertain nonlinear systems, extending the well-known method of integral quadratic constraints. The uncertain system consists of a feedback interconnection of a nonlinear nominal system and uncertainties satisfying differential integral quadratic constraints. A pointwise linear matrix inequality condition is formulated to verify the closed-loop differential $ L_2 $ gain, which can lead to global reference-independent $ L_2 $ gain performance of the nonlinear uncertain system. For a polynomial nominal system, the convex verification conditions can be solved via sum-of-squares programming. A simple computational example based on jet-engine surge with input delays illustrates the approach.},
  date        = {2019-03-21},
  eprint      = {1903.08806v1},
  eprintclass = {cs.SY},
  eprinttype  = {arXiv},
  file        = {:http\://arxiv.org/pdf/1903.08806v1:PDF},
  groups      = {Markings},
  keywords    = {cs.SY},
  timestamp   = {2020-08-21},
}

@Article{YinSei20,
  author      = {He Yin and Peter Seiler and Murat Arcak},
  title       = {Backward Reachability using Integral Quadratic Constraints for Uncertain Nonlinear Systems},
  abstract    = {A method is proposed to compute robust inner-approximations to the backward reachable set for uncertain nonlinear systems. It also produces a robust control law that drives trajectories starting in these sets to the target set. The method merges dissipation inequalities and integral quadratic constraints (IQCs) with both hard and soft IQC factorizations. Computational algorithms are presented using the generalized S-procedure and sum-of-squares techniques. The use of IQCs in backward reachability analysis allows for a variety of perturbations including parametric uncertainty, unmodeled dynamics, nonlinearities, and uncertain time delays. The method is demonstrated on two examples, including a 6-state quadrotor with actuator uncertainties.},
  date        = {2020-03-12},
  eprint      = {2003.05617v1},
  eprintclass = {eess.SY},
  eprinttype  = {arXiv},
  file        = {:http\://arxiv.org/pdf/2003.05617v1:PDF},
  groups      = {Markings},
  keywords    = {eess.SY, cs.SY},
  timestamp   = {2020-08-21},
}

@Article{MicSch19,
  author      = {Simon Michalowsky and Carsten Scherer and Christian Ebenbauer},
  title       = {Robust and structure exploiting optimization algorithms: An integral quadratic constraint approach},
  abstract    = {We consider the problem of analyzing and designing gradient-based discrete-time optimization algorithms for a class of unconstrained optimization problems having strongly convex objective functions with Lipschitz continuous gradient. By formulating the problem as a robustness analysis problem and making use of a suitable adaptation of the theory of integral quadratic constraints, we establish a framework that allows to analyze convergence rates and robustness properties of existing algorithms and enables the design of novel robust optimization algorithms with prespecified guarantees capable of exploiting additional structure in the objective function.},
  date        = {2019-05-01},
  eprint      = {1905.00279v2},
  eprintclass = {math.OC},
  eprinttype  = {arXiv},
  file        = {:http\://arxiv.org/pdf/1905.00279v2:PDF},
  groups      = {Markings, SchEbe20},
  keywords    = {math.OC, cs.SY},
  timestamp   = {2020-08-21},
}

@Article{KhoKao19,
  author      = {Sei Zhen Khong and Chung-Yao Kao},
  title       = {Converse Theorems for Integral Quadratic Constraints},
  abstract    = {A collection of converse theorems for integral quadratic constraints (IQCs) is established for linear time-invariant systems. It is demonstrated that when a system interconnected in feedback with an arbitrary system satisfying an IQC is stable, then the given system must necessarily satisfy the complementary IQC. These theorems are specialized to derive multiple versions of converse passivity results. They cover standard notions of strict passivity as well as passivity indices that characterize the trade-offs between passivity surplus and deficit. Converse frequency-weighted small-gain and passivity theorems are also established.},
  date        = {2019-05-25},
  eprint      = {1905.10600v1},
  eprintclass = {math.OC},
  eprinttype  = {arXiv},
  file        = {:http\://arxiv.org/pdf/1905.10600v1:PDF},
  groups      = {Markings},
  keywords    = {math.OC},
  timestamp   = {2020-08-21},
}

@Article{FilIsa98,
  author      = {A. T. Filippov and A. P. Isaev},
  title       = {Path-Integral for Quadratic Hamiltonian Systems and Boundary Conditions},
  abstract    = {A path-integral representation for the kernel of the evolution operator of general Hamiltonian systems is reviewed. We study the models with bosonic and fermionic degrees of freedom. A general scheme for introducing boundary conditions in the path-integral is given. We calculate the path-integral for the systems with quadratic first class constraints and present an explicit formula for the heat kernel in this case. These results may be applied to many quantum systems which can be reduced to the Hamiltonian systems with quadratic constraints (confined quarks, Calogero type models, string and $p$-brain theories, etc.).},
  date        = {1998-10-15},
  eprint      = {hep-th/9810112v1},
  eprintclass = {hep-th},
  eprinttype  = {arXiv},
  file        = {:http\://arxiv.org/pdf/hep-th/9810112v1:PDF},
  groups      = {Markings},
  keywords    = {hep-th},
  timestamp   = {2020-08-21},
}

@InProceedings{Ste80,
  author    = {Sternby, Jan},
  booktitle = {Methods and {Applications} in {Adaptive} {Control}},
  title     = {Adaptive control of extremum systems},
  year      = {1980},
  address   = {Berlin, Heidelberg},
  editor    = {Unbehauen, H.},
  pages     = {151--160},
  publisher = {Springer},
  series    = {Lecture {Notes} in {Control} and {Information} {Sciences}},
  abstract  = {Two model-based methods for extremum control are treated. The models consist of a dynamic linear part and a static nonlinearity which can be placed either at the input or at the output. It is shown that models with an input nonlinearity are easier to handle, but may give poor adaptive control laws. With a nonlinearity at the output, the optimal control law is dual, even if the system parameters are known. A way of rewriting this latter model is suggested to facilitate the use of parameter identification.},
  doi       = {10.1007/BFb0003263},
  file      = {:Topics/Adaptive/Ste80.pdf:PDF},
  isbn      = {9783540382850},
  language  = {en},
  timestamp = {2020-08-21},
}

@Article{DocPer11,
  author    = {Dochain, Denis and Perrier, Michel and Guay, Martin},
  journal   = {Mathematics and Computers in Simulation},
  title     = {Extremum seeking control and its application to process and reaction systems: A survey},
  year      = {2011},
  number    = {3},
  pages     = {369--380},
  volume    = {82},
  file      = {:Topics/ExtremumSeeking/DocPer11.pdf:PDF},
  groups    = {SchEbe20},
  publisher = {Elsevier},
  timestamp = {2020-08-21},
}

@Article{KiaAnn14,
  author     = {Kiani Bejestani, Arman and Annaswamy, Anuradha and Samad, Tariq},
  journal    = {IEEE Transactions on Smart Grid},
  title      = {A {Hierarchical} {Transactive} {Control} {Architecture} for {Renewables} {Integration} in {Smart} {Grids}: {Analytical} {Modeling} and {Stability}},
  year       = {2014},
  issn       = {1949-3061},
  month      = jul,
  number     = {4},
  pages      = {2054--2065},
  volume     = {5},
  abstract   = {In this paper, we propose a hierarchical transactive control architecture that combines market transactions at the higher levels with inter-area and unit-level control at the lower levels. A model of this architecture is introduced, with dynamics at primary, secondary, and tertiary levels. With a goal of ensuring frequency regulation using optimal allocation of resources in the presence of uncertainties in renewables and load, a hierarchical control methodology is presented. Global asymptotic stability of the overall system is established in the presence of uncertainties at all three time-scales. An IEEE 30-bus as well as simulations of practical examples of realistic sizes are used to validate the approach where it is shown that the proposed control architecture has the potential to reduce cost of reserves and to increase social welfare.},
  doi        = {10.1109/TSG.2014.2325575},
  file       = {IEEE Xplore Full Text PDF:https\://ieeexplore.ieee.org/stampPDF/getPDF.jsp?tp=&arnumber=6839125&ref=aHR0cHM6Ly9pZWVleHBsb3JlLmllZWUub3JnL2RvY3VtZW50LzY4MzkxMjU=:application/pdf},
  keywords   = {asymptotic stability, optimal control, power generation control, smart power grids, hierarchical transactive control architecture, smart grid, renewable integration, frequency regulation, optimal allocation, global asymptotic stability, IEEE 30-bus, automatic generation control, Uncertainty, Generators, Load modeling, Frequency control, Power system dynamics, Mathematical model, Companies, Automatic generation control, power system control, power system dynamics, power system economics},
  shorttitle = {A {Hierarchical} {Transactive} {Control} {Architecture} for {Renewables} {Integration} in {Smart} {Grids}},
  timestamp  = {2020-08-21},
}

@InProceedings{HuLes17,
  author    = {Hu, Bin and Lessard, Laurent},
  booktitle = {2017 {American} {Control} {Conference} ({ACC})},
  title     = {Control interpretations for first-order optimization methods},
  year      = {2017},
  month     = may,
  note      = {ISSN: 2378-5861},
  pages     = {3114--3119},
  abstract  = {First-order iterative optimization methods play a fundamental role in large scale optimization and machine learning. This paper presents control interpretations for such optimization methods. First, we give loop-shaping interpretations for several existing optimization methods and show that they are composed of basic control elements such as PID and lag compensators. Next, we apply the small gain theorem to draw a connection between the convergence rate analysis of optimization methods and the input-output gain computations of certain complementary sensitivity functions. These connections suggest that standard classical control synthesis tools may be brought to bear on the design of optimization algorithms.},
  doi       = {10.23919/ACC.2017.7963426},
  file      = {IEEE Xplore Full Text PDF:https\://ieeexplore.ieee.org/stampPDF/getPDF.jsp?tp=&arnumber=7963426&ref=aHR0cHM6Ly9pZWVleHBsb3JlLmllZWUub3JnL2RvY3VtZW50Lzc5NjM0MjY=:application/pdf},
  groups    = {SchEbe20},
  issn      = {2378-5861},
  keywords  = {control system synthesis, iterative methods, optimisation, three-term control, control interpretations, first-order iterative optimization methods, machine learning, loop-shaping interpretations, PID control elements, lag compensators, small gain theorem, convergence rate analysis, input-output gain computations, complementary sensitivity functions, standard classical control synthesis tools, Optimization methods, Acceleration, Convergence, Radio frequency, Linear programming, Sensitivity},
  timestamp = {2020-08-21},
}

@Article{JokLaz09b,
  author     = {Jokic, Andrej and Lazar, Mircea and van den Bosch, Paul P. J.},
  journal    = {IEEE Transactions on Automatic Control},
  title      = {On {Constrained} {Steady}-{State} {Regulation}: {Dynamic} {KKT} {Controllers}},
  year       = {2009},
  issn       = {1558-2523},
  month      = sep,
  number     = {9},
  pages      = {2250--2254},
  volume     = {54},
  abstract   = {This technical note presents a solution to the problem of regulating a general nonlinear dynamical system to an economically optimal operating point. The system is characterized by a set of exogenous inputs as an abstraction of time-varying loads and disturbances. The economically optimal operating point is implicitly defined as a solution to a given constrained convex optimization problem, which is related to steady-state operation. The system outputs and the exogenous inputs represent respectively the decision variables and the parameters in the optimization problem. The proposed solution is based on a specific dynamic extension of the Karush-Kuhn-Tucker optimality conditions for the steady-state related optimization problem, which is conceptually related to the continuous-time Arrow-Hurwicz-Uzawa algorithm. Furthermore, it can be interpreted as a generalization of the standard output regulation problem with respect to a constant reference signal.},
  doi        = {10.1109/TAC.2009.2026856},
  file       = {:JokLaz09b.pdf:PDF},
  groups     = {SchEbe20},
  keywords   = {continuous time systems, nonlinear dynamical systems, optimisation, constrained steady-state regulation, dynamic KKT controllers, nonlinear dynamical system, convex optimization, Karush-Kuhn-Tucker optimality conditions, continuous-time Arrow-Hurwicz-Uzawa algorithm, Steady-state, Environmental economics, Nonlinear dynamical systems, Constraint optimization, Optimal control, Time varying systems, Nonlinear control systems, Control systems, Production facilities, Production systems, Complementarity systems, constraints, convex optimization, optimal control, steady-state},
  shorttitle = {On {Constrained} {Steady}-{State} {Regulation}},
  timestamp  = {2020-08-21},
}

@Article{MolDor17,
  author    = {Daniel K. Molzahn and Florian Dorfler and Henrik Sandberg and Steven H. Low and Sambuddha Chakrabarti and Ross Baldick and Javad Lavaei},
  journal   = {{IEEE} Transactions on Smart Grid},
  title     = {A Survey of Distributed Optimization and Control Algorithms for Electric Power Systems},
  year      = {2017},
  month     = {nov},
  number    = {6},
  pages     = {2941--2962},
  volume    = {8},
  doi       = {10.1109/tsg.2017.2720471},
  file      = {:Topics/Optimization/MolDor17.pdf:PDF},
  groups    = {SchEbe20},
  publisher = {Institute of Electrical and Electronics Engineers ({IEEE})},
  timestamp = {2020-08-21},
}

@Article{KimRio12,
  author    = {Kim, Kwang-Ki Kevin and R�os-Patr�n, Ernesto and Braatz, Richard D.},
  journal   = {Journal of Process Control},
  title     = {Robust nonlinear internal model control of stable {Wiener} systems},
  year      = {2012},
  issn      = {0959-1524},
  month     = sep,
  number    = {8},
  pages     = {1468--1477},
  volume    = {22},
  abstract  = {Many process systems can be modeled as a stable Wiener system, which is a stable linear system followed by a static nonlinearity. A nonlinear control design procedure is presented that provides robustness to uncertainties while being applicable to systems with unstable zero dynamics, unmeasured states, disturbances, and measurement noise. The design procedure combines nonlinear internal model control with linear matrix inequality feasibility or optimization problems, such that all robust stability and performance criteria are computable in polynomial-time using readily available software. Application to a pH neutralization case study demonstrates the importance of taking uncertainty into account during the design of controllers for Wiener systems. The approach is generalizable to Hammerstein and sandwich systems, whether well- or poorly conditioned, and to systems with actuator constraints.},
  doi       = {10.1016/j.jprocont.2012.01.019},
  file      = {:Papers/SchEbe20/KimRio12.pdf:PDF},
  groups    = {SchEbe20},
  keywords  = {Nonlinear control, Robust control, Wiener systems, Internal model control, Linear matrix inequalities},
  language  = {en},
  series    = {Ken {Muske} {Special} {Issue}},
  timestamp = {2020-08-21},
  url       = {http://www.sciencedirect.com/science/article/pii/S0959152412000315},
  urldate   = {2020-08-21},
}

@InProceedings{HuaLin93,
  author    = {Jie Huang and Ching-Fang Lin},
  booktitle = {Proceedings of 32nd {IEEE} {Conference} on {Decision} and {Control}},
  title     = {Internal model principle and robust control of nonlinear systems},
  year      = {1993},
  month     = dec,
  pages     = {1501--1506 vol.2},
  abstract  = {A dynamic compensator is constructed to achieve asymptotic tracking and disturbance rejection for a class of nonlinear systems in the presence of certain plant uncertainties. The key component of this compensator is the k/sup th/-order robust control law introduced by the authors (1994), which features what is called the internal model principle in the linear literature. The result extends the robust linear servomechanism or structurally stable output regulation theory to nonlinear setting.{\textless}{\textgreater}},
  doi       = {10.1109/CDC.1993.325439},
  file      = {:Papers/SchEbe20/HuaLin93.pdf:PDF},
  keywords  = {stability, compensation, servomechanisms, tracking, nonlinear systems, internal model principle, robust control, nonlinear systems, dynamic compensator, asymptotic tracking, disturbance rejection, plant uncertainties, linear servomechanism, structurally stable output regulation, necessary condition, sufficient condition, Robust control, Nonlinear systems, Robustness, Steady-state, Uncertainty, Differential equations, Human computer interaction, Error correction, Control systems, Buildings},
  timestamp = {2020-08-21},
}

@Misc{Sch,
  author    = {IEEE, Scherer},
  title     = {Multiobjective Output-feedback Control Via LMI Optimization - Automatic Control, IEEE Transactions on},
  file      = {:X\:/bibfiles/SchGah97.pdf:PDF},
  timestamp = {2020-08-21},
}

@Article{SchGah97,
  author    = {C. Scherer and P. Gahinet and M. Chilali},
  journal   = {{IEEE} Transactions on Automatic Control},
  title     = {Multiobjective output-feedback control via {LMI} optimization},
  year      = {1997},
  number    = {7},
  pages     = {896--911},
  volume    = {42},
  doi       = {10.1109/9.599969},
  file      = {:SchGah97.pdf:PDF},
  groups    = {SchEbe20},
  publisher = {Institute of Electrical and Electronics Engineers ({IEEE})},
  timestamp = {2020-08-21},
}

@Article{LimAnd88,
  author    = {Limebeer, D. J. N. and Anderson, B. D. O.},
  journal   = {Linear Algebra and its Applications},
  title     = {An interpolation theory approach to {H}8 controller degree bounds},
  year      = {1988},
  issn      = {0024-3795},
  month     = jan,
  pages     = {347--386},
  volume    = {98},
  abstract  = {We derive upper bounds for the McMillan degree of all H8-optimal controllers associated with design problems which may be embedded in a certain generalized regular configuration. Our analysis is confined to problems of the first kind, which are characterized by the assumption that both P12(s) and P21(s) are square but not necessarily of the same size. This paper, which uses interpolation theory, complements a previous paper which addresses the same problem through an approach based on approximation theory. We demonstrate that the interpolation theory approach is more direct and circumvents a number of the technical difficulties in the previous method: the final outcome is a much shorter proof. As a by-product, we achieve a new result on the degree of an optimal solution of the matrix Nevanlinna-Pick problem.},
  doi       = {10.1016/0024-3795(88)90172-3},
  file      = {:Papers/SchEbe20/LimAnd88.pdf:PDF},
  groups    = {Generic},
  language  = {en},
  timestamp = {2020-08-22},
  url       = {http://www.sciencedirect.com/science/article/pii/0024379588901723},
  urldate   = {2020-08-22},
}

@InProceedings{LesSei20,
  author    = {Laurent Lessard and Peter Seiler},
  booktitle = {2020 American Control Conference ({ACC})},
  title     = {Direct Synthesis of Iterative Algorithms With Bounds on Achievable Worst-Case Convergence Rate},
  year      = {2020},
  month     = {jul},
  publisher = {{IEEE}},
  doi       = {10.23919/acc45564.2020.9147401},
  file      = {:Papers/SchEbe20/LesSei20.pdf:PDF},
  groups    = {SchEbe20},
  timestamp = {2020-08-22},
}

@Article{Ran96,
  author    = {Anders Rantzer},
  journal   = {Systems {\&} Control Letters},
  title     = {On the {K}alman-{Y}akubovich-{P}pov lemma},
  year      = {1996},
  number    = {1},
  pages     = {7--10},
  volume    = {28},
  doi       = {10.1016/0167-6911(95)00063-1},
  groups    = {SchEbe20},
  publisher = {Elsevier {BV}},
}

@Article{RosSch20,
  author    = {Christian A. Rosinger and Carsten W. Scherer},
  journal   = {{IEEE} Transactions on Control of Network Systems},
  title     = {A Flexible Synthesis Framework of Structured Controllers for Networked Systems},
  year      = {2020},
  number    = {1},
  pages     = {6--18},
  volume    = {7},
  doi       = {10.1109/tcns.2019.2914411},
  file      = {:Scherer/RosSch20.pdf:PDF},
  groups    = {SchEbe20},
  publisher = {Institute of Electrical and Electronics Engineers ({IEEE})},
  timestamp = {2020-08-31},
}

@InProceedings{SafJos18,
  author    = {Sam Safavi and Bikash Joshi and Guilherme Franca and Jose Bento},
  booktitle = {2018 {IEEE} International Symposium on Information Theory ({ISIT})},
  title     = {An Explicit Convergence Rate for Nesterov's Method from {SDP}},
  year      = {2018},
  month     = {jun},
  publisher = {{IEEE}},
  doi       = {10.1109/isit.2018.8437794},
  file      = {:Papers/SchEbe20/SafJos18.pdf:PDF},
  groups    = {SchEbe20},
  timestamp = {2020-09-03},
}

@InProceedings{FazMor18,
  author    = {Mahyar Fazlyab and Manfred Morari and Victor M. Preciado},
  booktitle = {2018 {IEEE} Conference on Decision and Control ({CDC})},
  title     = {Design of First-Order Optimization Algorithms via Sum-of-Squares Programming},
  year      = {2018},
  doi       = {10.1109/cdc.2018.8618984},
  file      = {:Papers/SchEbe20/FazMor18.pdf:PDF},
  groups    = {SchEbe20},
  timestamp = {2020-09-03},
}

@InProceedings{FraBen16,
  author    = {Guilherme Franca and Jose Bento},
  booktitle = {2016 {IEEE} International Symposium on Information Theory ({ISIT})},
  title     = {An explicit rate bound for over-relaxed {ADMM}},
  year      = {2016},
  doi       = {10.1109/isit.2016.7541670},
  groups    = {SchEbe20},
  timestamp = {2020-09-03},
}

@InProceedings{HotSke85,
  author    = {Anthony Hotz and Robert Skelton},
  booktitle = {1985 24th {IEEE} Conference on Decision and Control},
  title     = {A covariance control theory},
  year      = {1985},
  month     = {dec},
  publisher = {{IEEE}},
  doi       = {10.1109/cdc.1985.268547},
  file      = {:HotSke85.pdf:PDF},
  groups    = {SchEbe20},
  timestamp = {2020-09-07},
}

@Article{ColDal20,
  author    = {Marcello Colombino and Emiliano Dall{\textquotesingle}Anese and Andrey Bernstein},
  journal   = {{IEEE} Transactions on Control of Network Systems},
  title     = {Online Optimization as a Feedback Controller: Stability and Tracking},
  year      = {2020},
  month     = {mar},
  number    = {1},
  pages     = {422--432},
  volume    = {7},
  doi       = {10.1109/tcns.2019.2906916},
  file      = {:Papers/SchEbe20/ColDal20.pdf:PDF},
  groups    = {SchEbe20},
  publisher = {Institute of Electrical and Electronics Engineers ({IEEE})},
  timestamp = {2020-09-09},
}

@Article{GraEbe20,
  author      = {Dennis Gramlich and Christian Ebenbauer and Carsten W. Scherer},
  journal     = {arXiv:2006.09946 [math.OC]},
  title       = {Convex Synthesis of Accelerated Gradient Algorithms for Optimization and Saddle Point Problems using {L}yapunov functions},
  abstract    = {This paper considers the problem of designing accelerated gradient-based algorithms for optimization and saddle-point problems. The class of objective functions is defined by a generalized sector condition. This class of functions contains strongly convex functions with Lipschitz gradients but also non-convex functions, which allows not only to address optimization problems but also saddle-point problems. The proposed design procedure relies on a suitable class of Lyapunov functions and on convex semi-definite programming. The proposed synthesis allows the design of algorithms that reach the performance of state-of-the-art accelerated gradient methods and beyond.},
  date        = {2020-06-17},
  eprint      = {arXiv:2006.09946 [math.OC]},
  eprintclass = {math.OC},
  eprinttype  = {arXiv},
  file        = {:Scherer/2020/GraEbe20.pdf:PDF},
  groups      = {SchEbe20},
  keywords    = {math.OC, cs.SY, eess.SY},
  timestamp   = {2020-09-09},
}

@Article{LawSim18,
  author      = {Liam S. P. Lawrence and John W. Simpson-Porco and Enrique Mallada},
  title       = {Linear-Convex Optimal Steady-State Control},
  abstract    = {We consider the problem of designing a feedback controller for a multivariable linear time-invariant system which regulates an arbitrary system output to the solution of an equality-constrained convex optimization problem despite unknown constant exogenous disturbances; we term this the linear-convex optimal steady-state (OSS) control problem. We introduce the notion of an optimality model, and show that the existence of an optimality model is sufficient to reduce the OSS control problem to a stabilization problem. This yields a constructive design framework for optimal steady-state control that unifies and extends existing design methods in the literature. We illustrate the approach via an application to optimal frequency control of power networks, where our methodology recovers centralized and distributed controllers reported in the recent literature.},
  date        = {2018-10-30},
  eprint      = {1810.12892v3},
  eprintclass = {math.OC},
  eprinttype  = {arXiv},
  file        = {:Papers/SchEbe20/LawSim18.pdf:PDF},
  groups      = {SchEbe20},
  keywords    = {math.OC, 93C99},
}

@Article{LawNel18,
  author      = {Liam S. P. Lawrence and Zachary E. Nelson and Enrique Mallada and John W. Simpson-Porco},
  journal     = {Peprint.},
  title       = {Optimal Steady-State Control for Linear Time-Invariant Systems},
  abstract    = {We consider the problem of designing a feedback controller that guides the input and output of a linear time-invariant system to a minimizer of a convex optimization problem. The system is subject to an unknown disturbance that determines the feasible set defined by the system equilibrium constraints. Our proposed design enforces the Karush-Kuhn-Tucker optimality conditions in steady-state without incorporating dual variables into the controller. We prove that the input and output variables achieve optimality in equilibrium and outline two procedures for designing controllers that stabilize the closed-loop system. We explore key ideas through simple examples and simulations.},
  date        = {2018-10-08},
  eprint      = {1810.03724v1},
  eprintclass = {math.OC},
  eprinttype  = {arXiv},
  file        = {:Papers/SchEbe20/LawNel18.pdf:PDF},
  groups      = {SchEbe20},
  keywords    = {math.OC, 93C99},
}

@Article{ZhaPap18,
  author    = {Xuan Zhang and Antonis Papachristodoulou and Na Li},
  journal   = {{IEEE} Transactions on Automatic Control},
  title     = {Distributed Control for Reaching Optimal Steady State in Network Systems: An Optimization Approach},
  year      = {2018},
  month     = {mar},
  number    = {3},
  pages     = {864--871},
  volume    = {63},
  doi       = {10.1109/tac.2017.2737959},
  file      = {:Papers/SchEbe20/ZhaPap18.pdf:PDF},
  groups    = {SchEbe20},
  publisher = {Institute of Electrical and Electronics Engineers ({IEEE})},
}

@Article{DoerGra17,
  author    = {Florian D�rfler and Sergio Grammatico},
  journal   = {Automatica},
  title     = {Gather-and-broadcast frequency control in power systems},
  year      = {2017},
  month     = {may},
  pages     = {296--305},
  volume    = {79},
  doi       = {10.1016/j.automatica.2017.02.003},
  file      = {:Papers/SchEbe20/DoerGra17.pdf:PDF},
  groups    = {SchEbe20},
  publisher = {Elsevier {BV}},
}

@Article{MohRaz20,
  author    = {Hesameddin Mohammadi and Meisam Razaviyayn and Mihailo R. Jovanovic},
  journal   = {{IEEE} Transactions on Automatic Control},
  title     = {Robustness of accelerated first-order algorithms for strongly convex optimization problems},
  year      = {2020},
  pages     = {1--1},
  doi       = {10.1109/tac.2020.3008297},
  file      = {:Papers/SchEbe20/MohRaz20.pdf:PDF},
  groups    = {SchEbe20},
  publisher = {Institute of Electrical and Electronics Engineers ({IEEE})},
  timestamp = {2020-09-10},
}

@Article{FelEbe17,
  author    = {Christian Feller and Christian Ebenbauer},
  journal   = {{IEEE} Transactions on Automatic Control},
  title     = {Relaxed Logarithmic Barrier Function Based Model Predictive Control of Linear Systems},
  year      = {2017},
  month     = {mar},
  number    = {3},
  pages     = {1223--1238},
  volume    = {62},
  doi       = {10.1109/tac.2016.2582040},
  file      = {:Papers/SchEbe20/FelEbe17.pdf:PDF},
  groups    = {SchEbe20},
  publisher = {Institute of Electrical and Electronics Engineers ({IEEE})},
  timestamp = {2020-09-10},
}

@Article{SchHol18,
  author    = {Carsten W. Scherer and Tobias Holicki},
  journal   = {{IFAC}-{PapersOnLine}},
  title     = {An {IQC} theorem for relations: Towards stability analysis of data-integrated systems},
  year      = {2018},
  number    = {25},
  pages     = {390--395},
  volume    = {51},
  doi       = {10.1016/j.ifacol.2018.11.138},
  file      = {:Scherer/2018/SchHol18.pdf:PDF;:Scherer/Collect/SchHol18.pdf:PDF},
  publisher = {Elsevier {BV}},
  timestamp = {2020-09-15},
}

@Book{BauCom17,
  author    = {Heinz H. Bauschke and Patrick L. Combettes},
  publisher = {Springer International Publishing},
  title     = {Convex Analysis and Monotone Operator Theory in Hilbert Spaces},
  year      = {2017},
  doi       = {10.1007/978-3-319-48311-5},
  file      = {:Books/Mathematics/ConvexAnalysis/BauCom17.pdf:PDF},
  groups    = {SetValued},
  timestamp = {2020-09-15},
}

@Article{BauBor96,
  author    = {Heinz H. Bauschke and Jonathan M. Borwein},
  journal   = {{SIAM} Review},
  title     = {On Projection Algorithms for Solving Convex Feasibility Problems},
  year      = {1996},
  month     = {sep},
  number    = {3},
  pages     = {367--426},
  volume    = {38},
  doi       = {10.1137/s0036144593251710},
  file      = {:BauBor96.pdf:PDF},
  publisher = {Society for Industrial {\&} Applied Mathematics ({SIAM})},
  timestamp = {2020-09-18},
}

@Article{Roc76,
  author    = {R. Tyrrell Rockafellar},
  journal   = {{SIAM} Journal on Control and Optimization},
  title     = {Monotone Operators and the Proximal Point Algorithm},
  year      = {1976},
  month     = {aug},
  number    = {5},
  pages     = {877--898},
  volume    = {14},
  doi       = {10.1137/0314056},
  groups    = {SetValued},
  publisher = {Society for Industrial {\&} Applied Mathematics ({SIAM})},
  timestamp = {2020-09-18},
}

@Article{Sch03c,
  author    = {Carsten Scherer},
  journal   = {{PAMM}},
  title     = {Testing the Exactness of Convex Relaxations for Robust {LMI} Problems},
  year      = {2003},
  month     = {dec},
  number    = {1},
  pages     = {52--55},
  volume    = {3},
  doi       = {10.1002/pamm.200310314},
  file      = {:Scherer/2000-2009/Sch03c.pdf:PDF},
  groups    = {SchVee18},
  publisher = {Wiley},
  timestamp = {2020-09-20},
}

@Article{,
  timestamp = {2020-09-29},
}

@Article{Zam66b,
  author    = {G. Zames},
  journal   = {{IEEE} Transactions on Automatic Control},
  title     = {On the input-output stability of time-varying nonlinear feedback systems--Part {II}: Conditions involving circles in the frequency plane and sector nonlinearities},
  year      = {1966},
  number    = {3},
  pages     = {465--476},
  volume    = {11},
  doi       = {10.1109/tac.1966.1098356},
  file      = {:Zam66b.pdf:PDF},
  groups    = {CSM20},
  publisher = {Institute of Electrical and Electronics Engineers ({IEEE})},
  timestamp = {2020-09-29},
}

@Article{Nes09,
  author    = {Yurii Nesterov},
  journal   = {Mathematics of Operations Research},
  title     = {Unconstrained Convex Minimization in Relative Scale},
  year      = {2009},
  month     = {feb},
  number    = {1},
  pages     = {180--193},
  volume    = {34},
  doi       = {10.1287/moor.1080.0348},
  file      = {:Nes09.pdf:PDF},
  publisher = {Institute for Operations Research and the Management Sciences ({INFORMS})},
  timestamp = {2020-10-06},
}

@Article{DueEbe12,
  author    = {Hans-Bernd D\"urr and Christian Ebenbauer},
  journal   = {{IFAC} Proceedings Volumes},
  title     = {On a Class of Smooth Optimization Algorithms with Applications in Control},
  year      = {2012},
  number    = {17},
  pages     = {291--298},
  volume    = {45},
  doi       = {10.3182/20120823-5-nl-3013.00027},
  groups    = {SchEbe20},
  publisher = {Elsevier {BV}},
  timestamp = {2020-10-14},
}

@Article{MicSch20,
  author    = {Simon Michalowsky and Carsten Scherer and Christian Ebenbauer},
  journal   = {International Journal of Control},
  title     = {Robust and structure exploiting optimisation algorithms: an integral quadratic constraint approach},
  year      = {2020},
  pages     = {1--24},
  doi       = {10.1080/00207179.2020.1745286},
  file      = {:Papers/SchEbe20/MicSch20.pdf:PDF},
  groups    = {SchEbe20},
  publisher = {Informa {UK} Limited},
}

@Article{BarSri98,
  author    = {V. Barbu and S. S. Sritharan},
  journal   = {Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences},
  title     = {H $\infty$ {\textendash}control theory of fluid dynamics},
  year      = {1998},
  month     = {nov},
  number    = {1979},
  pages     = {3009--3033},
  volume    = {454},
  doi       = {10.1098/rspa.1998.0289},
  publisher = {The Royal Society},
  timestamp = {2020-12-07},
}

@Article{Zam81,
  author    = {G. Zames},
  journal   = {{IEEE} Transactions on Automatic Control},
  title     = {Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inverses},
  year      = {1981},
  number    = {2},
  pages     = {301--320},
  volume    = {26},
  doi       = {10.1109/tac.1981.1102603},
  publisher = {Institute of Electrical and Electronics Engineers ({IEEE})},
  timestamp = {2020-12-07},
}

@Article{VeeSch16,
  author    = {Joost Veenman and Carsten W. Scherer and Hakan K\"{o}ro{\u{g}}lu},
  journal   = {European Journal of Control},
  title     = {Robust stability and performance analysis based on integral quadratic constraints},
  year      = {2016},
  month     = {sep},
  pages     = {1--32},
  volume    = {31},
  doi       = {10.1016/j.ejcon.2016.04.004},
  file      = {:Scherer/VeeSch16.pdf:PDF;:VeeSch16.pdf:PDF},
  publisher = {Elsevier {BV}},
  timestamp = {2020-12-10},
}

@Article{Wil72b,
  author         = {Willems, J. C.},
  journal        = {Arch. Ratinal Mech. Anal.},
  title          = {{D}issipative {D}ynamical {S}ystems, {P}arts {II}: {L}inear {S}ystems with {Q}uadratic {S}upply {R}ates},
  year           = {1972},
  pages          = {352-393},
  volume         = {45},
  endnotereftype = {Journal Article},
  file           = {:Wil72b.pdf:PDF},
  groups         = {used, Fetzer, CSM20},
  keywords       = {dissipativity},
  owner          = {mst},
  shorttitle     = {Dissipative Dynamical Systems, Part {I}: General Theory},
  timestamp      = {2020-12-25},
}

@Article{Wil72,
  author         = {Willems, J. C.},
  journal        = {Arch. Ratinal Mech. Anal.},
  title          = {{D}issipative {D}ynamical {S}ystems, {P}arts {I+II}},
  year           = {1972},
  pages          = {321-393},
  volume         = {45},
  endnotereftype = {Journal Article},
  file           = {:Wil72.pdf:PDF;:Wil72I.pdf:PDF;:Wil72II.pdf:PDF},
  groups         = {used, Fetzer, CSM20},
  keywords       = {dissipativity},
  owner          = {mst},
  shorttitle     = {Dissipative Dynamical Systems, Part {I}: General Theory},
  timestamp      = {2020-12-25},
}

@Article{Wil72a,
  author         = {Willems, J. C.},
  journal        = {Arch. Ratinal Mech. Anal.},
  title          = {{D}issipative {D}ynamical {S}ystems, {P}arts {I}: {G}eneral {T}heory},
  year           = {1972},
  pages          = {321-351},
  volume         = {45},
  endnotereftype = {Journal Article},
  file           = {:Wil72.pdf:PDF;:Wil72I.pdf:PDF;:Wil72II.pdf:PDF},
  groups         = {used, Fetzer, CSM20},
  keywords       = {dissipativity},
  owner          = {mst},
  shorttitle     = {Dissipative Dynamical Systems, Part {I}: General Theory},
  timestamp      = {2020-12-25},
}

@Article{Pop62,
  author    = {V.M. Popov},
  journal   = {Automation and Remote Control},
  title     = {Absolute Stability of Nonlinear Systems of Automatic Control},
  year      = {1962},
  pages     = {857-875},
  volume    = {22},
  doi       = {10.1109/9780470544334.ch11},
  file      = {:Papers/CSM20/Pop62.pdf:PDF},
  groups    = {CSM20},
  publisher = {{IEEE}},
  timestamp = {2020-12-29},
}

@Book{LogRya14,
  author    = {Hartmut Logemann and Eugene P. Ryan},
  publisher = {Springer London},
  title     = {Ordinary Differential Equations},
  year      = {2014},
  doi       = {10.1007/978-1-4471-6398-5},
  groups    = {CSM20},
  timestamp = {2020-12-31},
}

@Article{Wil71,
  author    = {J. Willems},
  journal   = {{IEEE} Transactions on Automatic Control},
  title     = {Least squares stationary optimal control and the algebraic Riccati equation},
  year      = {1971},
  month     = {dec},
  number    = {6},
  pages     = {621--634},
  volume    = {16},
  doi       = {10.1109/tac.1971.1099831},
  file      = {:Wil71.pdf:PDF},
  groups    = {CSM20},
  publisher = {Institute of Electrical and Electronics Engineers ({IEEE})},
  timestamp = {2021-01-01},
}

@Article{HolSch19,
  author    = {Tobias Holicki and Carsten W. Scherer},
  journal   = {Nonlinear Analysis: Hybrid Systems},
  title     = {Stability analysis and output-feedback synthesis of hybrid systems affected by piecewise constant parameters via dynamic resetting scalings},
  year      = {2019},
  month     = {nov},
  pages     = {179--208},
  volume    = {34},
  doi       = {10.1016/j.nahs.2019.06.003},
  groups    = {CSM20},
  publisher = {Elsevier {BV}},
  timestamp = {2021-01-03},
}

@Book{Wil71book,
  author    = {Jan C. Willems},
  publisher = {The {MIT} Press},
  title     = {The Analysis of Feedback Systems},
  year      = {1971},
  doi       = {10.7551/mitpress/1258.001.0001},
  file      = {:Wil71book.pdf:PDF},
  groups    = {CSM20},
  timestamp = {2021-01-04},
}

@Article{JayLog11,
  author    = {Bayu Jayawardhana and Hartmut Logemann and Eugene P. Ryan},
  journal   = {{IEEE} Control Systems Magazine},
  title     = {The Circle Criterion and Input-to-State Stability},
  year      = {2011},
  month     = {aug},
  number    = {4},
  pages     = {32--67},
  volume    = {31},
  doi       = {10.1109/mcs.2011.941143},
  file      = {:JayLog11.pdf:PDF},
  groups    = {CSM20},
  publisher = {Institute of Electrical and Electronics Engineers ({IEEE})},
  timestamp = {2021-01-04},
}

@Article{FryJao20,
  author    = {J. Micah Fry and Dany Abou Jaoude and Mazen Farhood},
  journal   = {International Journal of Robust and Nonlinear Control},
  title     = {Robustness analysis of uncertain time-varying systems using integral quadratic constraints with time-varying multipliers},
  year      = {2020},
  month     = {dec},
  doi       = {10.1002/rnc.5299},
  file      = {:FryJao20.pdf:PDF},
  groups    = {CSM20},
  publisher = {Wiley},
  timestamp = {2021-01-05},
}

@Article{Wil07csm,
  author    = {J.C. Willems},
  journal   = {{IEEE} Control Systems},
  title     = {The Behavioral Approach to Open and Interconnected Systems},
  year      = {2007},
  month     = {dec},
  number    = {6},
  pages     = {46--99},
  volume    = {27},
  doi       = {10.1109/mcs.2007.906923},
  file      = {:Wil07csm.pdf:PDF},
  groups    = {CSM20},
  publisher = {Institute of Electrical and Electronics Engineers ({IEEE})},
  timestamp = {2021-01-05},
}

@Article{SunKha94,
  author    = {Weiqian Sun and P.P. Khargonekar and Duksun Shim},
  journal   = {{IEEE} Transactions on Automatic Control},
  title     = {Solution to the positive real control problem for linear time-invariant systems},
  year      = {1994},
  number    = {10},
  pages     = {2034--2046},
  volume    = {39},
  doi       = {10.1109/9.328822},
  file      = {:SunKha94.pdf:PDF},
  groups    = {CSM20},
  publisher = {Institute of Electrical and Electronics Engineers ({IEEE})},
  timestamp = {2021-01-06},
}

@Article{And68,
  author    = {B. Anderson},
  journal   = {{IEEE} Transactions on Automatic Control},
  title     = {A simplified viewpoint of hyperstability},
  year      = {1968},
  month     = {jun},
  number    = {3},
  pages     = {292--294},
  volume    = {13},
  doi       = {10.1109/tac.1968.1098910},
  file      = {:And68.pdf:PDF},
  groups    = {CSM20},
  publisher = {Institute of Electrical and Electronics Engineers ({IEEE})},
  timestamp = {2021-01-06},
}

@Article{Wil74,
  author    = {J. Willems},
  journal   = {{IEEE} Transactions on Automatic Control},
  title     = {On the existence of a nonpositive solution to the Riccati equation},
  year      = {1974},
  month     = {oct},
  number    = {5},
  pages     = {592--593},
  volume    = {19},
  doi       = {10.1109/tac.1974.1100667},
  groups    = {CSM20},
  publisher = {Institute of Electrical and Electronics Engineers ({IEEE})},
  timestamp = {2021-01-07},
}

@Article{PooKha94,
  author    = {K. Poolla and P. Khargonekar and A. Tikku and J. Krause and K. Nagpal},
  journal   = {{IEEE} Transactions on Automatic Control},
  title     = {A time-domain approach to model validation},
  year      = {1994},
  month     = {may},
  number    = {5},
  pages     = {951--959},
  volume    = {39},
  doi       = {10.1109/9.284871},
  file      = {:PooKha94.pdf:PDF},
  groups    = {CSM20},
  publisher = {Institute of Electrical and Electronics Engineers ({IEEE})},
  timestamp = {2021-01-10},
}

@Article{SafAth81,
  author    = {M. Safonov and M. Athans},
  journal   = {{IEEE} Transactions on Automatic Control},
  title     = {A multiloop generalization of the circle criterion for stability margin analysis},
  year      = {1981},
  month     = {apr},
  number    = {2},
  pages     = {415--422},
  volume    = {26},
  doi       = {10.1109/tac.1981.1102595},
  file      = {:SafAth81.pdf:PDF},
  groups    = {CSM20},
  publisher = {Institute of Electrical and Electronics Engineers ({IEEE})},
  timestamp = {2021-01-11},
}

@Article{MoyHil78,
  author    = {P. Moylan and D. Hill},
  journal   = {{IEEE} Transactions on Automatic Control},
  title     = {Stability criteria for large-scale systems},
  year      = {1978},
  month     = {apr},
  number    = {2},
  pages     = {143--149},
  volume    = {23},
  comment   = {Large scale interconnections explicitly mentioned. 
General ideas presented in introduction.
Linear system interconnection and hard IQCs for uncertainties plus diagonal combination.
Families of supply rates introduced, and the search problem mentioned!
Michel results: Minors, see later papers in 75.},
  doi       = {10.1109/tac.1978.1101721},
  file      = {:MoyHil78.pdf:PDF},
  groups    = {CSM20},
  publisher = {Institute of Electrical and Electronics Engineers ({IEEE})},
  timestamp = {2021-01-11},
}

@Article{LasMic76,
  author    = {E. Lasley and A. Michel},
  journal   = {{IEEE} Transactions on Automatic Control},
  title     = {Input-output stability of interconnected systems},
  year      = {1976},
  month     = {feb},
  number    = {1},
  pages     = {84--89},
  volume    = {21},
  doi       = {10.1109/tac.1976.1101140},
  file      = {:LasMic76.pdf:PDF},
  groups    = {CSM20},
  publisher = {Institute of Electrical and Electronics Engineers ({IEEE})},
  timestamp = {2021-01-13},
}

@Article{ZamShn76,
  author    = {G. Zames and N. Shneydor},
  journal   = {{IEEE} Transactions on Automatic Control},
  title     = {Dither in nonlinear systems},
  year      = {1976},
  month     = {oct},
  number    = {5},
  pages     = {660--667},
  volume    = {21},
  doi       = {10.1109/tac.1976.1101357},
  file      = {:ZamShn76.pdf:PDF},
  groups    = {CSM20},
  publisher = {Institute of Electrical and Electronics Engineers ({IEEE})},
  timestamp = {2021-01-14},
}

@Article{SadPea16,
  author    = {Mahdieh S. Sadabadi and Dimitri Peaucelle},
  journal   = {Annual Reviews in Control},
  title     = {From static output feedback to structured robust static output feedback: A survey},
  year      = {2016},
  pages     = {11--26},
  volume    = {42},
  doi       = {10.1016/j.arcontrol.2016.09.014},
  file      = {:SadPea16.pdf:PDF},
  publisher = {Elsevier {BV}},
  timestamp = {2021-01-19},
}

@Article{ZheMen16,
  author       = {Shuxin Zheng and Qi Meng and Taifeng Wang and Wei Chen and Nenghai Yu and Zhi-Ming Ma and Tie-Yan Liu},
  title        = {Asynchronous Stochastic Gradient Descent with Delay Compensation},
  abstract     = {With the fast development of deep learning, it has become common to learn big neural networks using massive training data. Asynchronous Stochastic Gradient Descent (ASGD) is widely adopted to fulfill this task for its efficiency, which is, however, known to suffer from the problem of delayed gradients. That is, when a local worker adds its gradient to the global model, the global model may have been updated by other workers and this gradient becomes "delayed". We propose a novel technology to compensate this delay, so as to make the optimization behavior of ASGD closer to that of sequential SGD. This is achieved by leveraging Taylor expansion of the gradient function and efficient approximation to the Hessian matrix of the loss function. We call the new algorithm Delay Compensated ASGD (DC-ASGD). We evaluated the proposed algorithm on CIFAR-10 and ImageNet datasets, and the experimental results demonstrate that DC-ASGD outperforms both synchronous SGD and asynchronous SGD, and nearly approaches the performance of sequential SGD.},
  date         = {2016-09-27},
  eprint       = {1609.08326},
  eprintclass  = {cs.LG},
  eprinttype   = {arXiv},
  file         = {:ZheMen16 - Asynchronous Stochastic Gradient Descent with Delay Compensation.pdf:PDF},
  groups       = {SchEbe20},
  journaltitle = {International Conference on Machine Learning. 2017: 4120-4129},
  keywords     = {cs.LG, cs.DC},
  timestamp    = {2021-01-26},
}

@Article{TayDro21,
  author      = {Adrien Taylor and Yoel Drori},
  journal     = {arXiv:2101.09741 [math.OC]},
  title       = {An optimal gradient method for smooth (possibly strongly) convex minimization},
  abstract    = {We present an optimal gradient method for smooth (possibly strongly) convex optimization. The method is optimal in the sense that its worst-case bound exactly matches the lower bound on the oracle complexity for the class of problems, meaning that no black-box first-order method can have a better worst-case guarantee without further assumptions on the class of problems at hand. The method is in some sense a generalization of the Optimized Gradient Method of Kim and Fessler (2016), and asymptotically corresponds to the Triple Momentum Method (Van Scoy et al., 2017), in the presence of strong convexity. Furthermore, the method is numerically stable to arbitrarily large condition numbers and admits a conceptually very simple proof, which involves a Lyapunov argument and a sum of two inequalities. Finally, we provide a numerical recipe for obtaining the algorithmic parameters of the method, using semidefinite programming, and illustrate that it can be used for developing other methods as well.},
  date        = {2021-01-24},
  eprint      = {2101.09741},
  eprintclass = {math.OC},
  eprinttype  = {arXiv},
  file        = {:TayDro21 - An Optimal Gradient Method for Smooth (possibly Strongly) Convex Minimization.pdf:PDF},
  keywords    = {math.OC, cs.NA, math.NA},
  timestamp   = {2021-01-31},
}

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