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Article: A new result on the delay-dependent stability of discrete systems with time-varying delays

TitleA new result on the delay-dependent stability of discrete systems with time-varying delays
Authors
KeywordsDelay‐dependent stability
Discrete systems
Linear matrix inequality
Lyapunov-Krasovskii functional
Time-varying delays
Issue Date2014
PublisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/5510
Citation
International Journal of Robust and Nonlinear Control, 2014, v. 24 n. 16, p. 2512-2521 How to Cite?
AbstractThis paper proposes an improvement to the delay‐dependent stability of discrete systems with time‐varying delays. The approach is based on the observation that the positive definiteness of a chosen Lyapunov–Krasovskii functional does not necessarily require all the involved symmetric matrices to be positive definite, which has been overlooked in the literature. The derived delay‐dependent stability conditions are in terms of linear matrix inequalities. It is theoretically proved that our results are less conservative than the corresponding ones obtained by requiring the positive definiteness of all the symmetric matrices in a chosen Lyapunov–Krasovskii functional. The importance of the present approach is that a great number of delay‐dependent analysis and synthesis results obtained by the aforementioned requirement in the literature can be improved by the present approach without introducing any new decision variables. Copyright © 2013 John Wiley & Sons, Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/217125
ISSN
2019 Impact Factor: 3.503
2015 SCImago Journal Rankings: 2.134
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorXu, S-
dc.contributor.authorLam, J-
dc.contributor.authorZhang, B-
dc.contributor.authorZou, Y-
dc.date.accessioned2015-09-18T05:48:48Z-
dc.date.available2015-09-18T05:48:48Z-
dc.date.issued2014-
dc.identifier.citationInternational Journal of Robust and Nonlinear Control, 2014, v. 24 n. 16, p. 2512-2521-
dc.identifier.issn1049-8923-
dc.identifier.urihttp://hdl.handle.net/10722/217125-
dc.description.abstractThis paper proposes an improvement to the delay‐dependent stability of discrete systems with time‐varying delays. The approach is based on the observation that the positive definiteness of a chosen Lyapunov–Krasovskii functional does not necessarily require all the involved symmetric matrices to be positive definite, which has been overlooked in the literature. The derived delay‐dependent stability conditions are in terms of linear matrix inequalities. It is theoretically proved that our results are less conservative than the corresponding ones obtained by requiring the positive definiteness of all the symmetric matrices in a chosen Lyapunov–Krasovskii functional. The importance of the present approach is that a great number of delay‐dependent analysis and synthesis results obtained by the aforementioned requirement in the literature can be improved by the present approach without introducing any new decision variables. Copyright © 2013 John Wiley & Sons, Ltd.-
dc.languageeng-
dc.publisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/5510-
dc.relation.ispartofInternational Journal of Robust and Nonlinear Control-
dc.subjectDelay‐dependent stability-
dc.subjectDiscrete systems-
dc.subjectLinear matrix inequality-
dc.subjectLyapunov-Krasovskii functional-
dc.subjectTime-varying delays-
dc.titleA new result on the delay-dependent stability of discrete systems with time-varying delays-
dc.typeArticle-
dc.identifier.emailLam, J: jlam@hku.hk-
dc.identifier.authorityLam, J=rp00133-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1002/rnc.3006-
dc.identifier.scopuseid_2-s2.0-84912032215-
dc.identifier.hkuros254378-
dc.identifier.volume24-
dc.identifier.issue16-
dc.identifier.spage2512-
dc.identifier.epage2521-
dc.identifier.isiWOS:000343996200020-
dc.publisher.placeUnited Kingdom-

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