Stability tests for 2-D systems using the Schwarz form and the inners determinants

Kanellakis, A; Tzafestas, S; Theodorou, N

dc.contributor.author	Kanellakis, A	en
dc.contributor.author	Tzafestas, S	en
dc.contributor.author	Theodorou, N	en
dc.date.accessioned	2014-03-01T01:08:33Z
dc.date.available	2014-03-01T01:08:33Z
dc.date.issued	1991	en
dc.identifier.issn	0098-4094	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10566
dc.subject	Continuous System	en
dc.subject	State Space	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.other	Mathematical Techniques - Polynomials	en
dc.subject.other	Mathematical Techniques - State Space Methods	en
dc.subject.other	Mathematical Transformations - Z Transforms	en
dc.subject.other	Discrete/Continuous Systems	en
dc.subject.other	Hermitian Schur-Cohn/Hermite Matrix	en
dc.subject.other	Hurwitz Polynomial	en
dc.subject.other	Inner Determinants	en
dc.subject.other	System Stability	en
dc.title	Stability tests for 2-D systems using the Schwarz form and the inners determinants	en
heal.type	journalArticle	en
heal.identifier.primary	10.1109/31.83877	en
heal.identifier.secondary	http://dx.doi.org/10.1109/31.83877	en
heal.language	English	en
heal.publicationDate	1991	en
heal.abstract	New stability tests for two-dimensional (2-D) (discrete/continuous) systems using the Schwarz form and the concept of inner determinants are presented. The properties of the Schwarz matrix are used for checking the stability of 2-D systems in state-space. Two innerwise matrices that have inner determinants equivalent to the principal minors of the Hermitian Schur-Cohn/Hermite matrix are introduced. The implementation of these new stability tests for discrete/continuous 2-D systems is discussed. The proposed methods offer a simplification by not requiring the positivity of many polynomials. The theoretical results are illustrated by nontrivial examples.	en
heal.publisher	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC	en
heal.journalName	IEEE transactions on circuits and systems	en
dc.identifier.doi	10.1109/31.83877	en
dc.identifier.isi	ISI:A1991GC41900009	en
dc.identifier.volume	38	en
dc.identifier.issue	9	en
dc.identifier.spage	1071	en
dc.identifier.epage	1077	en