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Synchronization of dynamical networks with nonidentical nodes

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dc.contributor.authorZhao, Junen
dc.contributor.authorHill, David J.en
dc.contributor.authorZhao, Junen
dc.date.accessioned2025-03-31T09:26:12Z
dc.date.available2025-03-31T09:26:12Z
dc.date.issued2011en
dc.description.abstractThis paper presents a framework for global synchronization of dynamical networks with nonidentical nodes. Several criteria for synchronization are given using free matrices for both cases of synchronizing to a common equilibrium solution of all isolated nodes and synchronizing to the average state trajectory. These criteria can be viewed as generalizations of the master stability function method for local synchronization of networks with identical nodes to the case of nonidentical nodes. The controlled synchronization problem is also studied. The control action, which is subject to certain constraints, is viewed as reorganization of the connection topology of the network. Synchronizability conditions via control are put forward. The synchronizing controllers can be obtained by solving an optimization problem.en
dc.description.sponsorshipManuscript received March 21, 2010; revised June 01, 2010; accepted July 17, 2010. Date of publication November 11, 2010; date of current version February 24, 2011. This work was supported in part by the Australian Research Council’s Discovery Projects and Centres of Excellence Schemes under Projects FF 0455875 and CEO 348217, by the National Natural Science Foundation of China under Grants 60874024 and 90816028, and by the Specialized Research Fund for the Doctoral Program of Higher Education of China under Grant 200801450019. This paper was recommended by Associate Editor A. Tasic.en
dc.description.statustrueen
dc.format.extent11en
dc.identifier.otherresearchoutputwizard:u4334215xPUB525en
dc.identifier.otherScopus:79952007855en
dc.identifier.otherWOS:287660000014en
dc.identifier.urihttps://dspace-test.anu.edu.au/handle/1885/733748416
dc.identifier.urlhttp://www.scopus.com/inward/record.url?scp=79952007855&partnerID=8YFLogxKen
dc.language.isoEnglishen
dc.sourceIEEE Transactions on Circuits and Systems I: Regular Papersen
dc.subjectDynamical networksen
dc.subjectmaster stability functionen
dc.subjectnonidentical nodesen
dc.subjectsynchronizationen
dc.titleSynchronization of dynamical networks with nonidentical nodesen
dc.typeArticleen
local.bibliographicCitation.lastpage594en
local.bibliographicCitation.startpage584en
local.contributor.affiliationZhao, Jun; Northeastern University Chinaen
local.contributor.affiliationHill, David J.; University of Sydneyen
local.contributor.affiliationZhao, Jun; School of Engineering, ANU College of Systems and Society, The Australian National Universityen
local.identifier.citationvolume58en
local.identifier.doi10.1109/TCSI.2010.2072330en
local.identifier.pure504cc5e2-6aa3-4df0-b5bb-be7985b83859en
local.type.statusPublisheden

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