  The motivation of this work is to illustrate the efficiency of some often
overlooked alternatives to deal with optimization problems in systems and
control. In particular, we will consider a problem for which an iterative
linear matrix inequality algorithm (ILMI) has been proposed recently. As it
often happens, this algorithm does not have guaranteed global convergence and
therefore many methods may perform better. We will put forward how some general
purpose optimization solvers are more suited than the ILMI. This is illustrated
with the considered problem and example, but the general observations remain
valid for many similar situations in the literature.
