A converse Lyapunov theorem for nonuniform in time global asymptotic stability and its application to feedback stabilization

Karafyllis, I; Tsinias, J

dc.contributor.author	Karafyllis, I	en
dc.contributor.author	Tsinias, J	en
dc.date.accessioned	2014-03-01T01:18:31Z
dc.date.available	2014-03-01T01:18:31Z
dc.date.issued	2003	en
dc.identifier.issn	0363-0129	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15053
dc.subject	Feedback stabilization	en
dc.subject	Input-to-state stability	en
dc.subject	Lyapunov functions	en
dc.subject	Nonuniform in time asymptotic stability	en
dc.subject.classification	Automation & Control Systems	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Feedback stabilization	en
dc.subject.other	Input-to-state stability	en
dc.subject.other	Lyapunov functions	en
dc.subject.other	Nonuniform in time asymptotic stability	en
dc.subject.other	Algorithms	en
dc.subject.other	Asymptotic stability	en
dc.subject.other	Feedback	en
dc.subject.other	Functions	en
dc.subject.other	Lyapunov methods	en
dc.subject.other	Mathematical models	en
dc.subject.other	Robustness (control systems)	en
dc.subject.other	Theorem proving	en
dc.title	A converse Lyapunov theorem for nonuniform in time global asymptotic stability and its application to feedback stabilization	en
heal.type	journalArticle	en
heal.identifier.primary	10.1137/S0363012901392967	en
heal.identifier.secondary	http://dx.doi.org/10.1137/S0363012901392967	en
heal.language	English	en
heal.publicationDate	2003	en
heal.abstract	Lyapunov-like characterizations for the concepts of nonuniform in time robust global asymptotic stability and input-to-state stability for time-varying systems are established. The main result of our work enables us to derive (1) necessary and sufficient conditions for feedback stabilization for affine in the control systems and (2) sufficient conditions for the propagation of the input-to-state stability property through integrators.	en
heal.publisher	SIAM PUBLICATIONS	en
heal.journalName	SIAM Journal on Control and Optimization	en
dc.identifier.doi	10.1137/S0363012901392967	en
dc.identifier.isi	ISI:000184586300007	en
dc.identifier.volume	42	en
dc.identifier.issue	3	en
dc.identifier.spage	936	en
dc.identifier.epage	965	en