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Article: Exponential Synchronization of Complex Delayed Dynamical Networks With Switching Topology

TitleExponential Synchronization of Complex Delayed Dynamical Networks With Switching Topology
Authors
KeywordsAverage dwell time
Complex dynamical network
Exponential synchronization
Switched systems
Switching topology
Issue Date2010
PublisherIEEE. The Journal's web site is located at http://tcas1.polito.it/
Citation
IEEE Transactions on Circuits and Systems Part 1: Regular Papers, 2010, v. 57 n. 11, p. 2967-2980 (Article no. 5518337) How to Cite?
AbstractThis paper studies the local and global exponential synchronization of a complex dynamical network with switching topology and time-varying coupling delays. By using stability theory of switched systems and the network topology, the synchronization of such a network under some special switching signals is investigated. Firstly, under the assumption that all subnetworks are self-synchronizing, a delay-dependent sufficient condition is given in terms of linear matrix inequalities, which guarantees the solvability of the local synchronization problem under an average dwell time scheme. Then this result is extended to the situation that not all subnetworks are self-synchronizing. For the latter case, in addition to average dwell time, an extra condition on the ratio of the total activation time of self-synchronizing and nonsynchronizing subnetworks is needed to achieve synchronization of the entire switched network. The global synchronization of a network whose isolate dynamics is of a particular form is also studied. Three different examples of delayed dynamical networks with switching topology are given, which demonstrate the effectiveness of obtained results. © 2006 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/213535
ISSN
2015 Impact Factor: 2.393
2015 SCImago Journal Rankings: 1.394
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorLiu, T-
dc.contributor.authorZhao, J-
dc.contributor.authorHill, DJ-
dc.date.accessioned2015-08-05T02:53:52Z-
dc.date.available2015-08-05T02:53:52Z-
dc.date.issued2010-
dc.identifier.citationIEEE Transactions on Circuits and Systems Part 1: Regular Papers, 2010, v. 57 n. 11, p. 2967-2980 (Article no. 5518337)-
dc.identifier.issn1549-8328-
dc.identifier.urihttp://hdl.handle.net/10722/213535-
dc.description.abstractThis paper studies the local and global exponential synchronization of a complex dynamical network with switching topology and time-varying coupling delays. By using stability theory of switched systems and the network topology, the synchronization of such a network under some special switching signals is investigated. Firstly, under the assumption that all subnetworks are self-synchronizing, a delay-dependent sufficient condition is given in terms of linear matrix inequalities, which guarantees the solvability of the local synchronization problem under an average dwell time scheme. Then this result is extended to the situation that not all subnetworks are self-synchronizing. For the latter case, in addition to average dwell time, an extra condition on the ratio of the total activation time of self-synchronizing and nonsynchronizing subnetworks is needed to achieve synchronization of the entire switched network. The global synchronization of a network whose isolate dynamics is of a particular form is also studied. Three different examples of delayed dynamical networks with switching topology are given, which demonstrate the effectiveness of obtained results. © 2006 IEEE.-
dc.languageeng-
dc.publisherIEEE. The Journal's web site is located at http://tcas1.polito.it/-
dc.relation.ispartofIEEE Transactions on Circuits and Systems Part 1: Regular Papers-
dc.rightsIEEE Transactions on Circuits and Systems Part 1: Regular Papers. Copyright © IEEE.-
dc.rights©2010 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectAverage dwell time-
dc.subjectComplex dynamical network-
dc.subjectExponential synchronization-
dc.subjectSwitched systems-
dc.subjectSwitching topology-
dc.titleExponential Synchronization of Complex Delayed Dynamical Networks With Switching Topology-
dc.typeArticle-
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.description.naturepublished_or_final_version-
dc.identifier.doi10.1109/TCSI.2010.2052508-
dc.identifier.scopuseid_2-s2.0-78149469553-
dc.identifier.volume57-
dc.identifier.issue11-
dc.identifier.spage2967-
dc.identifier.epage2980 (Article no. 5518337)-
dc.identifier.isiWOS:000284088600014-
dc.publisher.placeUnited States-

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