In this paper, we present sufficient conditions to preserve stability by rational function
substitutions, It is proved that by making substitutions with strictly positive real (SPR) zero …

In the chain scattering framework, it has been shown in Lee and Soh that the problem of
simultaneous stabilization of a finite collection of l linear time-invariant plants such that each …

This paper concerns the characterization of positive real matrices generated by substitutions
(of the Laplace variable s) in scalar rational transfer function by matrix positive real functions …

The preservation of both robust stability and weighted robust performance properties of
controlled linear time-invariant single input single output (SISO) systems is studied, when …

In this work necessary conditions on one side are sufficient conditions on another side given
such that the product of strictly positive real (SPR) functions to be an SPR 0 function. Also …

We are concerned by algebraic Riccati equations associated to robust control problems. We
tackle the preservation of solvability conditions of algebraic Riccati equations when applying …

We are concerned in this article with controlled linear time-invariant multi input multi output
systems in continuous-time. We study here the preservation under strict positive real …

This book provides clear presentations of more than sixty important unsolved problems in
mathematical systems and control theory. Each of the problems included here is proposed …

In this paper, a new numerical method based on Genetic Algorithm (GA) for robust Strictly
Positive Real (SPR) synthesis is presented. The algorithm works well in coefficient space of …

An algorithm is presented to obtain a system which could observe n plants simultaneously,
based on evolutionary strategies. We present a technique preserve an observer and its …