Smoothly global stabilizability by dynamic feedback and generalizations of Artstein's theorem

Tsinias, John

dc.contributor.author	Tsinias, John	en
dc.date.accessioned	2014-03-01T01:11:28Z
dc.date.available	2014-03-01T01:11:28Z
dc.date.issued	1995	en
dc.identifier.issn	0363-0129	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11660
dc.subject	GLOBAL	en
dc.subject	DYNAMIC STABILIZABILITY	en
dc.subject	SMOOTH	en
dc.subject	ALMOST SMOOTH FEEDBACK	en
dc.subject.classification	Automation & Control Systems	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Asymptotic stability	en
dc.subject.other	Closed loop control systems	en
dc.subject.other	Control theory	en
dc.subject.other	Controllability	en
dc.subject.other	Dynamics	en
dc.subject.other	Feedback control	en
dc.subject.other	Linearization	en
dc.subject.other	Lyapunov methods	en
dc.subject.other	Nonlinear control systems	en
dc.subject.other	Theorem proving	en
dc.subject.other	Artsteins theorem	en
dc.subject.other	Dynamic stabilizability	en
dc.subject.other	Global stabilizability	en
dc.subject.other	System stability	en
dc.title	Smoothly global stabilizability by dynamic feedback and generalizations of Artstein's theorem	en
heal.type	journalArticle	en
heal.identifier.primary	10.1137/S0363012992241909	en
heal.identifier.secondary	http://dx.doi.org/10.1137/S0363012992241909	en
heal.language	English	en
heal.publicationDate	1995	en
heal.abstract	The purpose of this paper is to explore the dynamic feedback stabilization problem for general nonlinear systems extending previous works of Artstein, Sontag, and the author. First, sufficient conditions for global stabilization by smooth dynamic feedback are provided concerning a wide class of triangular systems, where the linearization at the equilibrium is controllable. For the general nonlinear case, we derive a necessary and sufficient condition for global stabilization by means of an almost smooth dynamic feedback.	en
heal.publisher	Soc for Industrial & Applied Mathematics Publ, Philadelphia, PA, United States	en
heal.journalName	SIAM Journal on Control and Optimization	en
dc.identifier.doi	10.1137/S0363012992241909	en
dc.identifier.isi	ISI:A1995RJ02500007	en
dc.identifier.volume	33	en
dc.identifier.issue	4	en
dc.identifier.spage	1071	en
dc.identifier.epage	1085	en