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

dc.contributorUniversidade Estadual Paulista (Unesp)
dc.contributorUniversidade 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.accessioned2022-10-05T15:11:40Z
dc.date.available2013-09-30T18:50:33Z
dc.date.available2014-05-20T14:16:23Z
dc.date.available2022-10-05T15:11:40Z
dc.date.created2013-09-30T18:50:33Z
dc.date.created2014-05-20T14:16:23Z
dc.date.issued2008-09-01
dc.identifierCommunications In Nonlinear Science and Numerical Simulation. Amsterdam: Elsevier B.V., v. 13, n. 7, p. 1246-1255, 2008.
dc.identifier1007-5704
dc.identifierhttp://hdl.handle.net/11449/24934
dc.identifier10.1016/j.cnsns.2006.12.011
dc.identifierWOS:000254602400003
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/3898106
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.
dc.languageeng
dc.publisherElsevier B.V.
dc.relationCommunications in Nonlinear Science and Numerical Simulation
dc.relation3.181
dc.relation1,372
dc.rightsAcesso restrito
dc.sourceWeb of Science
dc.subjectchaos control
dc.subjectsynchronization
dc.subjectlinear feedback control
dc.subjectchaotic and hyperchaotic rossler systems
dc.titleOn control and synchronization in chaotic and hyperchaotic systems via linear feedback control
dc.typeArtigo


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