Article: Global bounded synchronization of general dynamical networks with nonidentical nodes

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TitleGlobal bounded synchronization of general dynamical networks with nonidentical nodes
AuthorsZhao, J2
Hill, DJ1
Liu, T3
KeywordsDynamical Networks
Nonidentical Nodes
Synchronization
Time-Varying Systems
Issue Date2012
CitationIeee Transactions On Automatic Control, 2012, v. 57 n. 10, p. 2656-2662 [How to Cite?]
DOI: http://dx.doi.org/10.1109/TAC.2012.2190206
AbstractThis note addresses the problem of synchronization for general dynamical networks with nonidentical nodes. The coupling strength, outer coupling configuration and inner connection in such networks are all time varying. Neither an equilibrium for each node nor a synchronization manifold is assumed to exist. An estimate of the convergence domain for a general class of time-varying nonlinear systems is given. By introducing the average dynamics of all nodes and based on this estimate, a criterion of global synchronization in the sense of boundedness of the maximum state deviation between nodes is developed. An explicit bound of the maximum state deviation between nodes is obtained by the maximum difference between each node dynamics and the average dynamics. The proposed criterion is an extension of several related synchronization criteria for the case of identical nodes to the case of nonidentical nodes. © 2012 IEEE.
ISSN0018-9286
2011 Impact Factor: 2.11
2011 SCImago Journal Rankings: 0.097
DOIhttp://dx.doi.org/10.1109/TAC.2012.2190206
ReferencesReferences in Scopus
DC Field
Value
dc.contributor.authorZhao, J
dc.contributor.authorHill, DJ
dc.contributor.authorLiu, T
dc.date.accessioned2012-10-25T04:54:31Z
dc.date.available2012-10-25T04:54:31Z
dc.date.issued2012
dc.description.abstractThis note addresses the problem of synchronization for general dynamical networks with nonidentical nodes. The coupling strength, outer coupling configuration and inner connection in such networks are all time varying. Neither an equilibrium for each node nor a synchronization manifold is assumed to exist. An estimate of the convergence domain for a general class of time-varying nonlinear systems is given. By introducing the average dynamics of all nodes and based on this estimate, a criterion of global synchronization in the sense of boundedness of the maximum state deviation between nodes is developed. An explicit bound of the maximum state deviation between nodes is obtained by the maximum difference between each node dynamics and the average dynamics. The proposed criterion is an extension of several related synchronization criteria for the case of identical nodes to the case of nonidentical nodes. © 2012 IEEE.
dc.description.natureLink_to_subscribed_fulltext
dc.identifier.citationIeee Transactions On Automatic Control, 2012, v. 57 n. 10, p. 2656-2662 [How to Cite?]
DOI: http://dx.doi.org/10.1109/TAC.2012.2190206
dc.identifier.doihttp://dx.doi.org/10.1109/TAC.2012.2190206
dc.identifier.epage2662
dc.identifier.issn0018-9286
2011 Impact Factor: 2.11
2011 SCImago Journal Rankings: 0.097
dc.identifier.issue10
dc.identifier.scopuseid_2-s2.0-84866887350
dc.identifier.spage2656
dc.identifier.urihttp://hdl.handle.net/10722/169740
dc.identifier.volume57
dc.languageeng
dc.publisher.placeUnited States
dc.relation.ispartofIEEE Transactions on Automatic Control
dc.relation.referencesReferences in Scopus
dc.subjectDynamical Networks
dc.subjectNonidentical Nodes
dc.subjectSynchronization
dc.subjectTime-Varying Systems
dc.titleGlobal bounded synchronization of general dynamical networks with nonidentical nodes
dc.typeArticle
Author Affiliations
  1. University of Sydney
  2. Northeastern University China
  3. Australian National University