On the local input to state practical stability of feedback interconnected systems

Tzamtzi, MP; Tzafestas, SG

dc.contributor.author	Tzamtzi, MP	en
dc.contributor.author	Tzafestas, SG	en
dc.date.accessioned	2014-03-01T02:48:41Z
dc.date.available	2014-03-01T02:48:41Z
dc.date.issued	1998	en
dc.identifier.issn	05379989	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/34016
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0031623538&partnerID=40&md5=c5e485c360f66939fac0ea873abd6a05	en
dc.subject.other	Asymptotic stability	en
dc.subject.other	Control system analysis	en
dc.subject.other	Control system synthesis	en
dc.subject.other	Feedback	en
dc.subject.other	Functions	en
dc.subject.other	Gain control	en
dc.subject.other	Robustness (control systems)	en
dc.subject.other	State space methods	en
dc.subject.other	System stability	en
dc.subject.other	Vectors	en
dc.subject.other	Feedback interconnected system	en
dc.subject.other	Input to state stability	en
dc.subject.other	Nonlinear systems	en
dc.title	On the local input to state practical stability of feedback interconnected systems	en
heal.type	conferenceItem	en
heal.publicationDate	1998	en
heal.abstract	Sufficient conditions for 'local input-to-state practical stability' of feedback interconnected systems are derived. This concept of stability denotes that the state of the interconnection remains bounded for sufficiently small input and initial conditions, but it does not tend to zero for zero input. The derivation of the sufficient conditions is based on the establishment of a small-gain theorem for interconnections of locally input-to-state stable systems. The criterion, which must be satisfied by the gain functions of the subsystems that constitute the interconnection, can give results for a wide class of systems, since it can also be applied to gain functions that cannot be overbounded by any linear function in a neighborhood of zero. Finally, two illustrative examples are presented that show the application of the introduced small-gain theorem, for the study of the stability of systems' interconnections.	en
heal.publisher	IEE, Stevenage, United Kingdom	en
heal.journalName	IEE Conference Publication	en
dc.identifier.issue	455	en
dc.identifier.spage	877	en
dc.identifier.epage	881	en