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On control and synchronization in chaotic and hyperchaotic systems via linear feedback control

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dc.contributor.authorRafikov, Marat
dc.contributor.authorBalthazar, José Manoel [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade Regional do Noroeste do Estado do Rio Grande do Sul (Unijuí)
dc.date.accessioned2013-09-30T18:50:33Z
dc.date.accessioned2014-05-20T14:16:23Z
dc.date.available2013-09-30T18:50:33Z
dc.date.available2014-05-20T14:16:23Z
dc.date.issued2008-09-01
dc.description.abstractThis paper presents the control and synchronization of chaos by designing linear feedback controllers. The linear feedback control problem for nonlinear systems has been formulated under optimal control theory viewpoint. Asymptotic stability of the closed-loop nonlinear system is guaranteed by means of a Lyapunov function which can clearly be seen to be the solution of the Hamilton-Jacobi-Bellman equation thus guaranteeing both stability and optimality. The formulated theorem expresses explicitly the form of minimized functional and gives the sufficient conditions that allow using the linear feedback control for nonlinear system. The numerical simulations were provided in order to show the effectiveness of this method for the control of the chaotic Rossler system and synchronization of the hyperchaotic Rossler system. (C) 2007 Elsevier B.V. All rights reserved.en
dc.description.affiliationUniv Estadual Paulista, BR-13500230 Rio Claro, SP, Brazil
dc.description.affiliationUniv Reg Noroeste Estado Rio Grande do Sul, BR-98700000 Ijui, RS, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, BR-13500230 Rio Claro, SP, Brazil
dc.format.extent1246-1255
dc.identifierhttp://dx.doi.org/10.1016/j.cnsns.2006.12.011
dc.identifier.citationCommunications In Nonlinear Science and Numerical Simulation. Amsterdam: Elsevier B.V., v. 13, n. 7, p. 1246-1255, 2008.
dc.identifier.dimensionspub.1042383486
dc.identifier.doi10.1016/j.cnsns.2006.12.011
dc.identifier.issn1007-5704
dc.identifier.issn1878-7274
dc.identifier.orcid0000-0002-9796-3609
dc.identifier.orcid0000-0002-6082-4832
dc.identifier.orcid0000-0002-3259-7871
dc.identifier.urihttp://hdl.handle.net/11449/24934
dc.identifier.wosWOS:000254602400003
dc.language.isoeng
dc.publisherElsevier B.V.
dc.publisherElsevier
dc.relation.ispartofCommunications in Nonlinear Science and Numerical Simulation
dc.relation.ispartofjcr3.181
dc.relation.ispartofsjr1,372
dc.rights.accessRightsAcesso restritopt
dc.sourceWeb of Science
dc.sourceDimensions
dc.subjectchaos controlen
dc.subjectsynchronizationen
dc.subjectlinear feedback controlen
dc.subjectchaotic and hyperchaotic rossler systemsen
dc.titleOn control and synchronization in chaotic and hyperchaotic systems via linear feedback controlen
dc.typeArtigopt
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.
dspace.entity.typePublication
relation.isOrgUnitOfPublication4763ec56-704e-41e0-9685-b5bef5946feb
relation.isOrgUnitOfPublication.latestForDiscovery4763ec56-704e-41e0-9685-b5bef5946feb
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Geociências e Ciências Exatas, Rio Claropt
unesp.departmentEstatística, Matemática Aplicada e Computação - IGCEpt

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Rio Claro - IGCE - Instituto de Geociências e Ciências Exatas