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Stability and L2-gain analysis for switched delay systems: A delay-dependent method

Sun, Xi-Ming; Zhao, Jun; Hill, David

Description

In this paper, we study stability and L2-gain for a class of switched systems with time-varying delays. Sufficient conditions for exponential stability and weighted L2-gain are developed for a class of switching signals with average dwell time. These conditions are delay-dependent and are given in the form of linear matrix inequalities (LMIs). As a special case of such switching signals, we can obtain exponential stability and normal L2-gain under arbitrary switching signals. The state decay...[Show more]

dc.contributor.authorSun, Xi-Ming
dc.contributor.authorZhao, Jun
dc.contributor.authorHill, David
dc.date.accessioned2015-12-07T22:25:19Z
dc.identifier.issn0005-1098
dc.identifier.urihttp://hdl.handle.net/1885/21217
dc.description.abstractIn this paper, we study stability and L2-gain for a class of switched systems with time-varying delays. Sufficient conditions for exponential stability and weighted L2-gain are developed for a class of switching signals with average dwell time. These conditions are delay-dependent and are given in the form of linear matrix inequalities (LMIs). As a special case of such switching signals, we can obtain exponential stability and normal L2-gain under arbitrary switching signals. The state decay estimate is explicitly given. Two examples illustrate the effectiveness and applicability of the proposed method.
dc.publisherPergamon-Elsevier Ltd
dc.sourceAutomatica
dc.subjectKeywords: Delay circuits; Matrix algebra; Switching systems; Delay-dependent; Exponential stability; Linear matrix inequalities (LMI); Switched delay systems; Time varying networks Delay-dependent; Exponential stability; L2-gain; Switched delay systems
dc.titleStability and L2-gain analysis for switched delay systems: A delay-dependent method
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume42
dc.date.issued2006
local.identifier.absfor010203 - Calculus of Variations, Systems Theory and Control Theory
local.identifier.ariespublicationu3357961xPUB16
local.type.statusPublished Version
local.contributor.affiliationSun, Xi-Ming, Northeastern University, China
local.contributor.affiliationZhao, Jun, Northeastern University, China
local.contributor.affiliationHill, David, College of Engineering and Computer Science, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.issue10
local.bibliographicCitation.startpage1769
local.bibliographicCitation.lastpage1774
local.identifier.doi10.1016/j.automatica.2006.05.007
dc.date.updated2015-12-07T09:34:39Z
local.identifier.scopusID2-s2.0-33747794306
CollectionsANU Research Publications

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