This paper deals with the problem of designing a robust static output feedback controller for
polytopic systems. The current research that tackled this problem is mainly based on LMI …

Stability is a crucial property in the study of dynamical systems. We focus on the problem of
enforcing the stability of a system a posteriori. The system can be a matrix or a polynomial …

In this paper, we elaborate on the relationship between the Hurwitz stability of matrix
polynomials and matrix-valued Stieltjes functions. Our strategy is that, for a monic matrix …

The boundary crossing theorem and the zero exclusion principle are very useful tools in the
study of the stability of family of polynomials. Although both of these theorem seem intuitively …

A valuable number of works has been published about Hurwitz and Schur polynomials in
order to known better their properties. For example it is known that the sets of Hurwitz and …

In this paper, we study the Hurwitz stability of polynomials. By considering that a 2 m− 2m-
degree Hurwitz polynomial has its corresponding Markov parameters, we define the set …

A property of Hurwitz polynomials is related with the Hadamard product. Garloff and Wagner
proved that Hadamard products of Hurwitz polynomials are Hurwitz polynomials, and Garloff …

The aim of this work is to give a Hurwitz path (which is a family of polynomials) joining any
two arbitrary stable polynomials in the set of monic Hurwitz polynomials with positive …

We consider the stability region of monic polynomials in the coefficient space. Starting from
specially chosen stable points we define polytopes, whose edges are either stable or belong …

We consider Hurwitz stability region in the parameter space of monic polynomials. Firstly, a
multilinear map from the positive first octant of the cartesian coordinate system to the stability …