On quadratic stability of state-dependent planar switching systems

dc.contributor.authorShorten, R.
dc.contributor.authorKing, C.
dc.contributor.authorWulff, Kai
dc.contributor.authorMason, O.
dc.date.accessioned2020-06-17T06:58:12Z
dc.date.available2020-06-17T06:58:12Z
dc.date.issued2007
dc.description.abstractIn this paper we consider the stability of a class of switched systems. Specifically, we ask the following question. Given a partition of the state space, and a set of linear dynamics, each of which are active in parts of the state space in a manner governed by the partition, does there exist a quadratic Lyapunov function for the resulting system? For planar systems with conic partitions and two dynamics, necessary and sufficient conditions are given for such a Lyapunov function. Examples are given to illustrate our results.en
dc.identifier.issn1436-9915
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/11419
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-10303
dc.language.isoen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subject.ddc004 Datenverarbeitung; Informatik
dc.subject.otherplanar systemsen
dc.subject.otherquadratic Lyapunov functionen
dc.subject.otherstate spaceen
dc.subject.otherstabilityen
dc.titleOn quadratic stability of state-dependent planar switching systemsen
dc.typeResearch Paper
dc.type.versionsubmittedVersionen
tub.accessrights.dnbfree
tub.affiliationFak. 4 Elektrotechnik und Informatikde
tub.affiliation.facultyFak. 4 Elektrotechnik und Informatikde
tub.publisher.universityorinstitutionTechnische Universität Berlin
tub.series.issuenumber2007-16
tub.series.nameForschungsberichte der Fakultät IV - Elektrotechnik und Informatik / Technische Universität Berlin
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