Testing stability of bivariate continuous-time system polynomials

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Abstract

This paper presents an efficient and integer preserving procedure to decide whether a bivariate polynomial does not vanish in the cross product of two closed right half planes. The problem arises in testing the stability of two-dimensional continuous-time linear systems. The procedure is obtained by combining a recent fraction-free Routh stability test for complex univariate polynomials with the long known Ansell's conditions for stability of bivariate continuous-time system polynomials.

Original languageEnglish
Title of host publication2020 IEEE International Symposium on Circuits and Systems, ISCAS 2020 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781728133201
StatePublished - 2020
Event52nd IEEE International Symposium on Circuits and Systems, ISCAS 2020 - Virtual, Online
Duration: 10 Oct 202021 Oct 2020

Publication series

NameProceedings - IEEE International Symposium on Circuits and Systems
Volume2020-October
ISSN (Print)0271-4310

Conference

Conference52nd IEEE International Symposium on Circuits and Systems, ISCAS 2020
CityVirtual, Online
Period10/10/2021/10/20

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