Prolongations and stability analysis via lyapunov functions of dynamical polysystems

Tsinias, J; Kalouptsidis, N

dc.contributor.author	Tsinias, J	en
dc.contributor.author	Kalouptsidis, N	en
dc.date.accessioned	2014-03-01T01:06:58Z
dc.date.available	2014-03-01T01:06:58Z
dc.date.issued	1987	en
dc.identifier.issn	0025-5661	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9704
dc.subject	Asymptotic Stability	en
dc.subject	lyapunov function	en
dc.subject	Necessary and Sufficient Condition	en
dc.subject	Prior Knowledge	en
dc.subject	Stability Analysis	en
dc.subject	Higher Order	en
dc.subject.classification	Computer Science, Theory & Methods	en
dc.subject.classification	Mathematics	en
dc.title	Prolongations and stability analysis via lyapunov functions of dynamical polysystems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF01692066	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF01692066	en
heal.language	English	en
heal.publicationDate	1987	en
heal.abstract	The purpose of this paper is to explore asymptotic stability properties of dynamical polysystems in the vicinity of an arbitrary set by means of suitably defined Lyapunov functions. Both necessary and sufficient conditions are established using higher-order prolongations and transitizing extensions of the reachable map. For smooth systems in particular, the main sufficient conditions derived can be tested without prior knowledge of the system trajectories. © 1987 Springer-Verlag New York Inc.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Mathematical Systems Theory	en
dc.identifier.doi	10.1007/BF01692066	en
dc.identifier.isi	ISI:A1987L636500007	en
dc.identifier.volume	20	en
dc.identifier.issue	1	en
dc.identifier.spage	215	en
dc.identifier.epage	233	en