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Article: A survey of linear matrix inequality techniques in stability analysis of delay systems

TitleA survey of linear matrix inequality techniques in stability analysis of delay systems
Authors
KeywordsDelay-dependent stability
Delay-independent stability
Linear matrix inequality
Time-delay systems
Issue Date2008
PublisherTaylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/00207721.asp
Citation
International Journal Of Systems Science, 2008, v. 39 n. 12, p. 1095-1113 How to Cite?
AbstractRecent years have witnessed a resurgence of research interests in analysing the stability of time-delay systems. Many results have been reported using a variety of approaches and techniques. However, much of the focus has been laid on the use of the Lyapunov-Krasovskii theory to derive sufficient stability conditions in the form of linear matrix inequalities. The purpose of this article is to survey the recent results developed to analyse the asymptotic stability of time-delay systems. Both delay-independent and delay-dependent results are reported in the article. Special emphases are given to the issues of conservatism of the results and computational complexity. Connections of certain delay-dependent stability results are also discussed.
Persistent Identifierhttp://hdl.handle.net/10722/59102
ISSN
2015 Impact Factor: 1.947
2015 SCImago Journal Rankings: 1.083
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorXu, Sen_HK
dc.contributor.authorLam, Jen_HK
dc.date.accessioned2010-05-31T03:42:54Z-
dc.date.available2010-05-31T03:42:54Z-
dc.date.issued2008en_HK
dc.identifier.citationInternational Journal Of Systems Science, 2008, v. 39 n. 12, p. 1095-1113en_HK
dc.identifier.issn0020-7721en_HK
dc.identifier.urihttp://hdl.handle.net/10722/59102-
dc.description.abstractRecent years have witnessed a resurgence of research interests in analysing the stability of time-delay systems. Many results have been reported using a variety of approaches and techniques. However, much of the focus has been laid on the use of the Lyapunov-Krasovskii theory to derive sufficient stability conditions in the form of linear matrix inequalities. The purpose of this article is to survey the recent results developed to analyse the asymptotic stability of time-delay systems. Both delay-independent and delay-dependent results are reported in the article. Special emphases are given to the issues of conservatism of the results and computational complexity. Connections of certain delay-dependent stability results are also discussed.en_HK
dc.languageengen_HK
dc.publisherTaylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/00207721.aspen_HK
dc.relation.ispartofInternational Journal of Systems Scienceen_HK
dc.subjectDelay-dependent stabilityen_HK
dc.subjectDelay-independent stabilityen_HK
dc.subjectLinear matrix inequalityen_HK
dc.subjectTime-delay systemsen_HK
dc.titleA survey of linear matrix inequality techniques in stability analysis of delay systemsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0020-7721&volume=39&issue=12&spage=1095&epage=1113&date=2008&atitle=A+survey+of+linear+matrix+inequality+techniques+in+stability+analysis+of+delay+systemsen_HK
dc.identifier.emailLam, J:james.lam@hku.hken_HK
dc.identifier.authorityLam, J=rp00133en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1080/00207720802300370en_HK
dc.identifier.scopuseid_2-s2.0-55749104718en_HK
dc.identifier.hkuros164191en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-55749104718&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume39en_HK
dc.identifier.issue12en_HK
dc.identifier.spage1095en_HK
dc.identifier.epage1113en_HK
dc.identifier.isiWOS:000262632000001-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridXu, S=7404438591en_HK
dc.identifier.scopusauthoridLam, J=7201973414en_HK
dc.identifier.citeulike3496126-

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