Robust \(D\)-stability via positivity
type: Item
instance of: scholarly article
title: Robust \(D\)-stability via positivity
zbMATH Open document ID: 0940.93059
DOI: 10.1016/S0005-1098(99)00042-4
published in: Automatica
publication date: 2000-07-19T00:00:00Z
review text: The authors approach the problem of robust \(D\)-stability of a complex polynomial by converting it to positivity in the real domain of the magnitude function. In this way the stability test can be performed by means of the Bernstein subdivision algorithm which requires only real arithmetic. The criterion for Hurwitz stability is applied to the stability study of polynomials with interval parameters and polynomial uncertainty structures. A significant result refers to the stopping criterion in connection with the situation of a large number of iterations, a case which corresponds to at least one zero closer than a prescribed limit to the imaginary axis.
reviewed by: Liviu Goraş
Mathematics Subject Classification ID: 93D09
Mathematics Subject Classification ID: 93C55
zbMATH DE Number: 1348267
zbMATH Keywords: robust stability
zbMATH Keywords: \(D\)-stability
zbMATH Keywords: Bernstein subdivision algorithm
zbMATH Keywords: real arithmetic
zbMATH Keywords: Hurwitz stability
zbMATH Keywords: polynomial uncertainty structures
author: Dragoslav D. Siljak
author: Dušan M. Stipanović
MaRDI profile type: Publication
full work available at URL: s0005-1098(99)00042-4
OpenAlex ID: W2177779262
Wikidata QID: Q126351203
description: scientific article; zbMATH DE number 1348267