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Conference Paper: Global Synchronization of Complex Dynamical Networks with Time Delay

TitleGlobal Synchronization of Complex Dynamical Networks with Time Delay
Authors
KeywordsComplex Network
Anti-control and Synchronization
Chaos Control
Issue Date2010
PublisherInternational Federation of Automatic Control (IFAC).
Citation
The 8th IFAC Symposium on Nonlinear Control Systems (NOLCOS 2010), Bologna, Italy, 1-3 September 2010. In the Proceedings of the 8th IFAC Symposium on Nonlinear Control Systems, 2010, p. 161-166 How to Cite?
AbstractIn this paper, we consider the global asymptotic synchronization of a class of dynamical networks whose nodes are identical nonlinear systems interconnected by both delay free and time delay couplings. Two different outer coupling matrices are used to represent these coupling terms, and are not required to be simultaneously diagonalizable which is too restrictive in practice. Based on the Lyapunov-Krasovskii functional method, two sufficient delay-dependent conditions are obtained in terms of N − 1 linear matrix inequalities (LMIs) under which the global asymptotic synchronization of such a network is achieved. A dynamical network consisting of modified Chua s circuit is simulated to demonstrate the effectiveness of the theoretical results.
Persistent Identifierhttp://hdl.handle.net/10722/213558
ISBN

 

DC FieldValueLanguage
dc.contributor.authorLiu, T-
dc.contributor.authorHill, DJ-
dc.contributor.authorZhao, J-
dc.date.accessioned2015-08-05T06:35:50Z-
dc.date.available2015-08-05T06:35:50Z-
dc.date.issued2010-
dc.identifier.citationThe 8th IFAC Symposium on Nonlinear Control Systems (NOLCOS 2010), Bologna, Italy, 1-3 September 2010. In the Proceedings of the 8th IFAC Symposium on Nonlinear Control Systems, 2010, p. 161-166-
dc.identifier.isbn9783902661807-
dc.identifier.urihttp://hdl.handle.net/10722/213558-
dc.description.abstractIn this paper, we consider the global asymptotic synchronization of a class of dynamical networks whose nodes are identical nonlinear systems interconnected by both delay free and time delay couplings. Two different outer coupling matrices are used to represent these coupling terms, and are not required to be simultaneously diagonalizable which is too restrictive in practice. Based on the Lyapunov-Krasovskii functional method, two sufficient delay-dependent conditions are obtained in terms of N − 1 linear matrix inequalities (LMIs) under which the global asymptotic synchronization of such a network is achieved. A dynamical network consisting of modified Chua s circuit is simulated to demonstrate the effectiveness of the theoretical results.-
dc.languageeng-
dc.publisherInternational Federation of Automatic Control (IFAC).-
dc.relation.ispartofIFAC Symposium on Nonlinear Control Systems (NOLCOS 2010)-
dc.subjectComplex Network-
dc.subjectAnti-control and Synchronization-
dc.subjectChaos Control-
dc.titleGlobal Synchronization of Complex Dynamical Networks with Time Delay-
dc.typeConference_Paper-
dc.identifier.emailLiu, T: taoliu@hku.hk-
dc.identifier.emailHill, DJ: dhill@eee.hku.hk-
dc.identifier.authorityLiu, T=rp02045-
dc.identifier.authorityHill, DJ=rp01669-
dc.identifier.doi10.3182/20100901-3-IT-2016.00046-
dc.identifier.spage161-
dc.identifier.epage166-
dc.publisher.placeU.K.-

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