Control lyapunov functions and stabilization by means of continuous time-varying feedback

Karafyllis, I; Tsinias, J

dc.contributor.author	Karafyllis, I	en
dc.contributor.author	Tsinias, J	en
dc.date.accessioned	2014-03-01T01:30:02Z
dc.date.available	2014-03-01T01:30:02Z
dc.date.issued	2009	en
dc.identifier.issn	1262-3377	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19461
dc.subject	Control Lyapunov Function	en
dc.subject	Feedback stabilization	en
dc.subject	Time-varying systems	en
dc.subject.classification	Automation & Control Systems	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Autonomous systems	en
dc.subject.other	Closed-loop system	en
dc.subject.other	Continuous time	en
dc.subject.other	Control Lyapunov Function	en
dc.subject.other	Feedback stabilization	en
dc.subject.other	Time varying	en
dc.subject.other	Asymptotic stability	en
dc.subject.other	Continuous time systems	en
dc.subject.other	Control system stability	en
dc.subject.other	Differential equations	en
dc.subject.other	Feedback	en
dc.subject.other	Lyapunov functions	en
dc.subject.other	Lyapunov methods	en
dc.subject.other	Nonlinear control systems	en
dc.subject.other	Robust control	en
dc.subject.other	Stabilization	en
dc.subject.other	Time varying systems	en
dc.title	Control lyapunov functions and stabilization by means of continuous time-varying feedback	en
heal.type	journalArticle	en
heal.identifier.primary	10.1051/cocv:2008046	en
heal.identifier.secondary	http://dx.doi.org/10.1051/cocv:2008046	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	For a general time-varying system, we prove that existence of an ""Output Robust Control Lyapunov Function"" implies existence of continuous time-varying feedback stabilizer, which guarantees output asymptotic stability with respect to the resulting closed-loop system. The main results of the present work constitute generalizations of a well known result due to Coron and Rosier [J. Math. Syst. Estim. Control 4 (1994) 67-84] concerning stabilization of autonomous systems by means of time-varying periodic feedback. © EDP Sciences, SMAI 2008.	en
heal.publisher	EDP SCIENCES S A	en
heal.journalName	ESAIM - Control, Optimisation and Calculus of Variations	en
dc.identifier.doi	10.1051/cocv:2008046	en
dc.identifier.isi	ISI:000268125200007	en
dc.identifier.volume	15	en
dc.identifier.issue	3	en
dc.identifier.spage	599	en
dc.identifier.epage	625	en