Necessary and sufficient conditions for the existence of stabilizing feedback for control systems

Karafyllis, I

dc.contributor.author	Karafyllis, I	en
dc.date.accessioned	2014-03-01T01:53:00Z
dc.date.available	2014-03-01T01:53:00Z
dc.date.issued	2003	en
dc.identifier.issn	02650754	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/26819
dc.subject	Affine control systems	en
dc.subject	Global stabilization	en
dc.subject	Lyapunov functions	en
dc.subject	Time-varying feedback	en
dc.subject.other	Asymptotic stability	en
dc.subject.other	Closed loop control systems	en
dc.subject.other	Conformal mapping	en
dc.subject.other	Feedback control	en
dc.subject.other	Global optimization	en
dc.subject.other	Lyapunov methods	en
dc.subject.other	Mathematical models	en
dc.subject.other	Set theory	en
dc.subject.other	Theorem proving	en
dc.subject.other	Time varying control systems	en
dc.subject.other	Affine control systems	en
dc.subject.other	Lyapunov function	en
dc.subject.other	Stabilizing feedback	en
dc.subject.other	Control system analysis	en
dc.title	Necessary and sufficient conditions for the existence of stabilizing feedback for control systems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1093/imamci/20.1.37	en
heal.identifier.secondary	http://dx.doi.org/10.1093/imamci/20.1.37	en
heal.publicationDate	2003	en
heal.abstract	We prove that the existence of a non-smooth control Lyapunov function is a necessary and sufficient condition for the existence of an ordinary smooth time-varying feedback that stabilizes an affine time-varying control system. Results concerning the non-affine case are also provided.	en
heal.journalName	IMA Journal of Mathematical Control and Information	en
dc.identifier.doi	10.1093/imamci/20.1.37	en
dc.identifier.volume	20	en
dc.identifier.issue	1	en
dc.identifier.spage	37	en
dc.identifier.epage	64	en