On the robust stability of linear systems with parametric uncertainty

Tzafestas, SG; Tzamtzi, MP

dc.contributor.author	Tzafestas, SG	en
dc.contributor.author	Tzamtzi, MP	en
dc.date.accessioned	2014-03-01T01:47:25Z
dc.date.available	2014-03-01T01:47:25Z
dc.date.issued	1998	en
dc.identifier.issn	01371223	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/25205
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0032284207&partnerID=40&md5=e3cf5cc2cd3c16c8b8fdf451689d0020	en
dc.subject.other	Control system analysis	en
dc.subject.other	Matrix algebra	en
dc.subject.other	Robustness (control systems)	en
dc.subject.other	Set theory	en
dc.subject.other	State space methods	en
dc.subject.other	System stability	en
dc.subject.other	Uncertain systems	en
dc.subject.other	Vectors	en
dc.subject.other	Parametric uncertainty	en
dc.subject.other	Linear control systems	en
dc.title	On the robust stability of linear systems with parametric uncertainty	en
heal.type	journalArticle	en
heal.publicationDate	1998	en
heal.abstract	This paper is concerned with the robust stability of linear systems in state space form for the case where the system matrix A(p) depends on a vector p∈P⊂IRv of uncertainty, with P being a hyperrectangle. A new parameterization of the uncertainty is proposed which leads to sufficient conditions for the robust stability of the system x(t) = A(p)x(t), x(t0) = x0 needing a finite number of tests. The number of tests required decreases considerably with respect to a previously proposed sufficient condition, and so the chances of satisfying the sufficient condition generally increase. This is illustrated by two nontrivial examples.	en
heal.publisher	Tech Univ Wroclaw, Warsaw, Poland	en
heal.journalName	Systems Science	en
dc.identifier.volume	24	en
dc.identifier.issue	3	en
dc.identifier.spage	59	en
dc.identifier.epage	65	en