Article: Synchronization of dynamical networks by network control

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TitleSynchronization of dynamical networks by network control
AuthorsLiu, T3
Hill, DJ1
Zhao, J2
KeywordsDistributed Control
Dynamical Networks
Optimization
Switching Control
Synchronization
Issue Date2012
CitationIeee Transactions On Automatic Control, 2012, v. 57 n. 6, p. 1574-1580 [How to Cite?]
DOI: http://dx.doi.org/10.1109/TAC.2011.2174691
AbstractIn this note, we study locally controlled synchronization of a dynamical network by introducing a distributed controller which has a different network structure from the original network. We refer to this configuration as a feedback network. To reflect practical reality, a cost function is considered to constrain the controller, and then the constrained controller design problem is transformed into a mixed-integer nonlinear optimization problem. In addition, when a single controller cannot be found under the constraint, a switching controller is designed by a Lyapunov function method. The convex combination technique is used to design the synchronizing switching signal between the candidate controllers, and its coefficients are given by the solution of a convex optimization problem. We also provide a feasible way to construct the candidate controllers, and give a numerical example which demonstrates the effectiveness of the proposed results. © 2011 IEEE.
ISSN0018-9286
2011 Impact Factor: 2.11
2011 SCImago Journal Rankings: 0.097
DOIhttp://dx.doi.org/10.1109/TAC.2011.2174691
ReferencesReferences in Scopus
DC Field
Value
dc.contributor.authorLiu, T
dc.contributor.authorHill, DJ
dc.contributor.authorZhao, J
dc.date.accessioned2012-10-25T04:54:31Z
dc.date.available2012-10-25T04:54:31Z
dc.date.issued2012
dc.description.abstractIn this note, we study locally controlled synchronization of a dynamical network by introducing a distributed controller which has a different network structure from the original network. We refer to this configuration as a feedback network. To reflect practical reality, a cost function is considered to constrain the controller, and then the constrained controller design problem is transformed into a mixed-integer nonlinear optimization problem. In addition, when a single controller cannot be found under the constraint, a switching controller is designed by a Lyapunov function method. The convex combination technique is used to design the synchronizing switching signal between the candidate controllers, and its coefficients are given by the solution of a convex optimization problem. We also provide a feasible way to construct the candidate controllers, and give a numerical example which demonstrates the effectiveness of the proposed results. © 2011 IEEE.
dc.description.natureLink_to_subscribed_fulltext
dc.identifier.citationIeee Transactions On Automatic Control, 2012, v. 57 n. 6, p. 1574-1580 [How to Cite?]
DOI: http://dx.doi.org/10.1109/TAC.2011.2174691
dc.identifier.doihttp://dx.doi.org/10.1109/TAC.2011.2174691
dc.identifier.epage1580
dc.identifier.issn0018-9286
2011 Impact Factor: 2.11
2011 SCImago Journal Rankings: 0.097
dc.identifier.issue6
dc.identifier.scopuseid_2-s2.0-84861727341
dc.identifier.spage1574
dc.identifier.urihttp://hdl.handle.net/10722/169737
dc.identifier.volume57
dc.languageeng
dc.publisher.placeUnited States
dc.relation.ispartofIEEE Transactions on Automatic Control
dc.relation.referencesReferences in Scopus
dc.subjectDistributed Control
dc.subjectDynamical Networks
dc.subjectOptimization
dc.subjectSwitching Control
dc.subjectSynchronization
dc.titleSynchronization of dynamical networks by network control
dc.typeArticle
Author Affiliations
  1. University of Sydney
  2. Northeastern University China
  3. Australian National University