Necessary conditions for the stability of polynomials and their use
type: Item
instance of: scholarly article
title: Necessary conditions for the stability of polynomials and their use
zbMATH Open document ID: 0854.93110
published in: Automation and Remote Control
publication date: 1997-01-08T00:00:00Z
review text: The aim of the paper is to propose a unified technique for deriving stability criteria. More precisely, classical results of Gauss and Newton are used to derive criteria for testing whether a polynomial with real or complex coefficients is Hurwitz, aperiodic, and sector stable. The obtained results can be used to estimate the probability that a random polynomial is a Hurwitz polynomial and to study the stability of a discrete system. Simple necessary conditions allow to solve certain robust stability problems without any computations. The standard fractional-linear transformation can be applied and the Schur stability can be replaced by the study of Hurwitz stability.
Mathematics Subject Classification ID: 93D09
Mathematics Subject Classification ID: 26C10
zbMATH DE Number: 922194
zbMATH Keywords: Hurwitz polynomial
zbMATH Keywords: robust stability
zbMATH Keywords: fractional-linear transformation
author: Arkadi Nemirovski
author: Boris T. Polyak
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 922194