A generalization of Vidyasagar's theorem on stabilizability using state detection

Tsinias, J

dc.contributor.author	Tsinias, J	en
dc.date.accessioned	2014-03-01T01:08:12Z
dc.date.available	2014-03-01T01:08:12Z
dc.date.issued	1991	en
dc.identifier.issn	0167-6911	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10338
dc.subject	Nonlinear system	en
dc.subject	stabilizability	en
dc.subject	state detection	en
dc.subject.classification	Automation & Control Systems	en
dc.subject.classification	Operations Research & Management Science	en
dc.subject.other	Mathematical Techniques - State Space Methods	en
dc.subject.other	System Stability	en
dc.subject.other	Global Stabilizability	en
dc.subject.other	Local Stabilizability	en
dc.subject.other	State Detection	en
dc.subject.other	State Feedback	en
dc.subject.other	Vidyasagar's Theorem	en
dc.subject.other	Control Systems, Nonlinear	en
dc.title	A generalization of Vidyasagar's theorem on stabilizability using state detection	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/0167-6911(91)90096-W	en
heal.identifier.secondary	http://dx.doi.org/10.1016/0167-6911(91)90096-W	en
heal.language	English	en
heal.publicationDate	1991	en
heal.abstract	In this paper we generalize the Vidyasagar's well known theorem on the local stabilizability problem of nonlinear systems using state detection [11]. Our purpose is to prove that if a system is weakly detectable and stabilizable by means of a continuous state feedback u = gamma-(x), for which no differentiability assumption is imposed, then the system is also stabilized by the law u = gamma-(z), where z is the output of a weak detector for the state x. The result above is applicable to several cases not covered by other works.	en
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	Systems and Control Letters	en
dc.identifier.doi	10.1016/0167-6911(91)90096-W	en
dc.identifier.isi	ISI:A1991FX16900005	en
dc.identifier.volume	17	en
dc.identifier.issue	1	en
dc.identifier.spage	37	en
dc.identifier.epage	42	en