On quadratic stability of state-dependent planar switching systems
dc.contributor.author | Shorten, R. | |
dc.contributor.author | King, C. | |
dc.contributor.author | Wulff, Kai | |
dc.contributor.author | Mason, O. | |
dc.date.accessioned | 2020-06-17T06:58:12Z | |
dc.date.available | 2020-06-17T06:58:12Z | |
dc.date.issued | 2007 | |
dc.description.abstract | In 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.issn | 1436-9915 | |
dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/11419 | |
dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-10303 | |
dc.language.iso | en | |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
dc.subject.ddc | 004 Datenverarbeitung; Informatik | |
dc.subject.other | planar systems | en |
dc.subject.other | quadratic Lyapunov function | en |
dc.subject.other | state space | en |
dc.subject.other | stability | en |
dc.title | On quadratic stability of state-dependent planar switching systems | en |
dc.type | Research Paper | |
dc.type.version | submittedVersion | en |
tub.accessrights.dnb | free | |
tub.affiliation | Fak. 4 Elektrotechnik und Informatik | de |
tub.affiliation.faculty | Fak. 4 Elektrotechnik und Informatik | de |
tub.publisher.universityorinstitution | Technische Universität Berlin | |
tub.series.issuenumber | 2007-16 | |
tub.series.name | Forschungsberichte der Fakultät IV - Elektrotechnik und Informatik / Technische Universität Berlin |
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