Stability of switched positive linear systems with average dwell time switching

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dc.contributor.authorZhao, X.
dc.contributor.authorZhang, L.
dc.contributor.authorShi, P.
dc.contributor.authorLiu, M.
dc.date.issued2012
dc.description.abstractIn this paper, the stability analysis problem for a class of switched positive linear systems (SPLSs) with average dwell time switching is investigated. A multiple linear copositive Lyapunov function (MLCLF) is first introduced, by which the sufficient stability criteria in terms of a set of linear matrix inequalities, are given for the underlying systems in both continuous-time and discrete-time contexts. The stability results for the SPLSs under arbitrary switching, which have been previously studied in the literature, can be easily obtained by reducing MLCLF to the common linear copositive Lyapunov function used for the system under arbitrary switching those systems. Finally, a numerical example is given to show the effectiveness and advantages of the proposed techniques. © 2012 Elsevier Ltd. All rights reserved.
dc.description.statementofresponsibilityXudong Zhao, Lixian Zhang, Peng Shi, Ming Liu
dc.identifier.citationAutomatica, 2012; 48(6):1132-1137
dc.identifier.doi10.1016/j.automatica.2012.03.008
dc.identifier.issn0005-1098
dc.identifier.issn1873-2836
dc.identifier.orcidShi, P. [0000-0001-6295-0405] [0000-0001-8218-586X] [0000-0002-0864-552X] [0000-0002-1358-2367] [0000-0002-5312-5435]
dc.identifier.urihttp://hdl.handle.net/2440/77906
dc.language.isoen
dc.publisherPergamon-Elsevier Science Ltd
dc.rights© 2012 Elsevier Ltd. All rights reserved.
dc.source.urihttps://doi.org/10.1016/j.automatica.2012.03.008
dc.subjectAverage dwell time
dc.subjectMultiple linear copositive Lyapunov function
dc.subjectStability
dc.subjectSwitched positive linear systems
dc.titleStability of switched positive linear systems with average dwell time switching
dc.typeJournal article
pubs.publication-statusPublished

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