  In this paper, we develop centralized and decentralized techniques for
analyzing and synthesizing networked systems comprised of interconnected sets
of non-linear subsystems - only using the subsystem dissipativity properties.
In particular, this paper extends a recent work that proposed dissipativity
based centralized analysis techniques for non-linear networked systems as
linear matrix inequality (LMI) problems. First, we consider four networked
system configurations (NSCs) of interest and provide centralized
stability/dissipativity \emph{analysis} techniques for them as LMI problems.
Second, we show that the centralized interconnection topology \emph{synthesis}
techniques for these NSCs can also be developed as LMI problems. This enables
synthesizing the interconnection topology among the subsystems so that specific
stability/dissipativity measures of the networked system are optimized. Next,
we show that the proposed analysis and synthesis techniques can be implemented
in a decentralized and compositional manner (i.e., subsystems can be
added/removed conveniently). Finally, we include several numerical results to
demonstrate our contributions.
