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Article: Stability and L1-gain analysis of linear periodic piecewise positive systems

TitleStability and L1-gain analysis of linear periodic piecewise positive systems
Authors
Zhu, BLam, JSong, X
KeywordsL1-gain
Periodic systems
Positive systems
Stability analysis
Stabilization
Issue Date2019
PublisherElsevier. The Journal's web site is located at http://www.elsevier.com/locate/automatica
Citation
Automatica, 2019, v. 101, p. 232-240 How to Cite?
DOI: http://dx.doi.org/10.1016/j.automatica.2018.12.007
AbstractThis paper investigates the stability, stabilization and L1-gain of linear periodic piecewise positive systems. The monotonicity of linear periodic piecewise positive systems is first studied. Then a time-varying co-positive Lyapunov function for periodic piecewise positive systems is employed and a sufficient condition for the asymptotic stability of the system is established. Based on the provided co-positive Lyapunov function and the sufficient stability condition, a state-feedback periodic piecewise controller to stabilize the system is formed and an upper bound of L1-gain of the system is given. Finally, numerical examples are given to illustrate the theoretical results.
Persistent Identifierhttp://hdl.handle.net/10722/271949
ISSN
0005-1098
2023 Impact Factor: 4.8
2023 SCImago Journal Rankings: 3.502
ISI Accession Number ID
WOS:000458941700027

 

DC FieldValueLanguage
dc.contributor.authorZhu, B-
dc.contributor.authorLam, J-
dc.contributor.authorSong, X-
dc.date.accessioned2019-07-20T10:32:40Z-
dc.date.available2019-07-20T10:32:40Z-
dc.date.issued2019-
dc.identifier.citationAutomatica, 2019, v. 101, p. 232-240-
dc.identifier.issn0005-1098-
dc.identifier.urihttp://hdl.handle.net/10722/271949-
dc.description.abstractThis paper investigates the stability, stabilization and L1-gain of linear periodic piecewise positive systems. The monotonicity of linear periodic piecewise positive systems is first studied. Then a time-varying co-positive Lyapunov function for periodic piecewise positive systems is employed and a sufficient condition for the asymptotic stability of the system is established. Based on the provided co-positive Lyapunov function and the sufficient stability condition, a state-feedback periodic piecewise controller to stabilize the system is formed and an upper bound of L1-gain of the system is given. Finally, numerical examples are given to illustrate the theoretical results.-
dc.languageeng-
dc.publisherElsevier. The Journal's web site is located at http://www.elsevier.com/locate/automatica-
dc.relation.ispartofAutomatica-
dc.subjectL1-gain-
dc.subjectPeriodic systems-
dc.subjectPositive systems-
dc.subjectStability analysis-
dc.subjectStabilization-
dc.titleStability and L1-gain analysis of linear periodic piecewise positive systems-
dc.typeArticle-
dc.identifier.emailZhu, B: zhubohao@connect.hku.hk-
dc.identifier.emailLam, J: jlam@hku.hk-
dc.identifier.emailSong, X: xqsong@connect.hku.hk-
dc.identifier.authorityLam, J=rp00133-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.automatica.2018.12.007-
dc.identifier.scopuseid_2-s2.0-85059148236-
dc.identifier.hkuros299340-
dc.identifier.volume101-
dc.identifier.spage232-
dc.identifier.epage240-
dc.identifier.isiWOS:000458941700027-
dc.publisher.placeUnited Kingdom-
dc.identifier.issnl0005-1098-

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