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The motivation of this work is to illustrate the efficiency of some oftenoverlooked alternatives to deal with optimization problems in systems andcontrol. In particular, we will consider a problem for which an iterativelinear matrix inequality algorithm (ILMI) has been proposed recently. As itoften happens, this algorithm does not have guaranteed global convergence andtherefore many methods may perform better. We will put forward how some generalpurpose optimization solvers are more suited than the ILMI. This is illustratedwith the considered problem and example, but the general observations remainvalid for many similar situations in the literature.

Direct search methods for an open problem of optimization in systems and control