Nonuniform in Time Input-to-State Stability and the Small-Gain Theorem

Karafyllis, I; Tsinias, J

dc.contributor.author	Karafyllis, I	en
dc.contributor.author	Tsinias, J	en
dc.date.accessioned	2014-03-01T01:21:08Z
dc.date.available	2014-03-01T01:21:08Z
dc.date.issued	2004	en
dc.identifier.issn	0018-9286	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16088
dc.subject	Lyapunov functions	en
dc.subject	Nonuniform in time input-to-state stability (ISS)	en
dc.subject	Small-gain theorem	en
dc.subject	Time-varying systems	en
dc.subject.classification	Automation & Control Systems	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.other	Asymptotic stability	en
dc.subject.other	Autonomous agents	en
dc.subject.other	Characterization	en
dc.subject.other	Large scale systems	en
dc.subject.other	Lyapunov methods	en
dc.subject.other	Mathematical models	en
dc.subject.other	Robustness (control systems)	en
dc.subject.other	System stability	en
dc.subject.other	Theorem proving	en
dc.subject.other	Time varying control systems	en
dc.subject.other	Robust global asymptotic stability (RGAS)	en
dc.subject.other	Small-gain theorem	en
dc.subject.other	Nonlinear control systems	en
dc.title	Nonuniform in Time Input-to-State Stability and the Small-Gain Theorem	en
heal.type	journalArticle	en
heal.identifier.primary	10.1109/TAC.2003.822861	en
heal.identifier.secondary	http://dx.doi.org/10.1109/TAC.2003.822861	en
heal.language	English	en
heal.publicationDate	2004	en
heal.abstract	For time-varying control systems various equivalent characterizations of the nonuniform in time input-to-state stability (ISS) property are established. These characterizations enable us to derive sufficient conditions for nonuniform in time ISS concerning composite time-varying systems. Our main result generalizes the well-known small-gain theorem due to Jiang-Teel-Praly for autonomous systems under the presence of uniform in time ISS.	en
heal.publisher	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC	en
heal.journalName	IEEE Transactions on Automatic Control	en
dc.identifier.doi	10.1109/TAC.2003.822861	en
dc.identifier.isi	ISI:000189037200004	en
dc.identifier.volume	49	en
dc.identifier.issue	2	en
dc.identifier.spage	196	en
dc.identifier.epage	216	en