On the existence of control Lyapunov functions: generalizations of Vidyasagar's theorem on nonlinear stabilization

Tsinias, John

dc.contributor.author	Tsinias, John	en
dc.date.accessioned	2014-03-01T01:08:58Z
dc.date.available	2014-03-01T01:08:58Z
dc.date.issued	1992	en
dc.identifier.issn	0363-0129	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10764
dc.subject	CONTROL LYAPUNOV FUNCTIONS	en
dc.subject	STATE FEEDBACK STABILIZABILITY	en
dc.subject.classification	Automation & Control Systems	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Control Systems, Nonlinear - Mathematical Models	en
dc.subject.other	Mathematical Techniques	en
dc.subject.other	Lyapunov Functions	en
dc.subject.other	Nonlinear Stabilization	en
dc.subject.other	State Feedback Stabilizability	en
dc.subject.other	Vidyasagar Theorem	en
dc.subject.other	Control Systems, Nonlinear	en
dc.title	On the existence of control Lyapunov functions: generalizations of Vidyasagar's theorem on nonlinear stabilization	en
heal.type	journalArticle	en
heal.identifier.primary	10.1137/0330049	en
heal.identifier.secondary	http://dx.doi.org/10.1137/0330049	en
heal.language	English	en
heal.publicationDate	1992	en
heal.abstract	In this paper the well-known Vidyasagar's theorem concerning the feedback stabilizability problem for interconnected control systems is generalized. In particular, sufficient conditions are provided for the existence of control Lyapunov functions that, according to the results of Artstein, Sontag, and Tsinias, guarantees asymptotic stabilization by means of a feedback law that is smooth, except possibly at the equilibrium at which it is wished to stabilize the system.	en
heal.publisher	SIAM PUBLICATIONS	en
heal.journalName	SIAM Journal on Control and Optimization	en
dc.identifier.doi	10.1137/0330049	en
dc.identifier.isi	ISI:A1992JA64800009	en
dc.identifier.volume	30	en
dc.identifier.issue	4	en
dc.identifier.spage	879	en
dc.identifier.epage	893	en