Robust stability of multivariate polynomials. II: Polytopic coefficient variations (Q1283334)

This paper deals with robustness of the stability property of a class of multivariate polynomials, recently introduced in Part I by \textit{V. L. Kharitonov} and \textit{J. A. Torres-Muñoz} [ibid. 10, 7-20 (1999; Zbl 0918.93034)]. The aim is to show the use of this class when analyzing stability of mutivariate polynomial families with polytopic coefficient variations. This study is developed on the basis of some known stability results for polytopic families of scattering Hurwitz stable (SHS) as well as strict sense stable (SSS) multivariate polynomials.