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Chaos control of a nonlinear oscillator with shape memory alloy using an optimal linear control: Part I: Ideal energy source

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dc.contributor.authorPiccirillo, V. [UNESP]
dc.contributor.authorBalthazar, José Manoel [UNESP]
dc.contributor.authorPontes, B. R.
dc.contributor.authorFelix, J. L. P. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2013-09-30T18:10:35Z
dc.date.accessioned2014-05-20T14:16:07Z
dc.date.available2013-09-30T18:10:35Z
dc.date.available2014-05-20T14:16:07Z
dc.date.issued2009-01-01
dc.description.abstractIn this paper, an optimal linear control is applied to control a chaotic oscillator with shape memory alloy (SMA). 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. This work is presented in two parts. Part I considers the so-called ideal problem. In the ideal problem, the excitation source is assumed to be an ideal harmonic excitation.en
dc.description.affiliationUNESP, Dept Engn Mech, BR-17033360 Bauru, SP, Brazil
dc.description.affiliationUNESP, Dept Stat Appl Math & Computat, BR-13500230 Bauru, SP, Brazil
dc.description.affiliationUnespUNESP, Dept Engn Mech, BR-17033360 Bauru, SP, Brazil
dc.description.affiliationUnespUNESP, Dept Stat Appl Math & Computat, BR-13500230 Bauru, SP, Brazil
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.format.extent139-149
dc.identifierhttp://dx.doi.org/10.1007/s11071-008-9350-6
dc.identifier.citationNonlinear Dynamics. Dordrecht: Springer, v. 55, n. 1-2, p. 139-149, 2009.
dc.identifier.doi10.1007/s11071-008-9350-6
dc.identifier.issn0924-090X
dc.identifier.urihttp://hdl.handle.net/11449/24849
dc.identifier.wosWOS:000262088500010
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofNonlinear Dynamics
dc.relation.ispartofjcr4.339
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectChaos controlen
dc.subjectShape memory alloyen
dc.subjectNonlinear dynamicen
dc.subjectLinear feedback controlen
dc.titleChaos control of a nonlinear oscillator with shape memory alloy using an optimal linear control: Part I: Ideal energy sourceen
dc.typeArtigo
dcterms.licensehttp://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0
dcterms.rightsHolderSpringer
dspace.entity.typePublication
unesp.campusUniversidade Estadual Paulista (UNESP), Faculdade de Engenharia, Baurupt
unesp.campusUniversidade Estadual Paulista (UNESP), Faculdade de Ciências, Baurupt
unesp.departmentMatemática - FCpt
unesp.departmentEngenharia Mecânica - FEBpt

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Bauru - FEB - Faculdade de Engenharia
Bauru - FC - Faculdade de Ciências