Publicação:
A maximum principle for infinite time asymptotically stable impulsive dynamic control systems

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dc.contributor.authorPereira, Fernando Lobo
dc.contributor.authorSilva, Geraldo Nunes [UNESP]
dc.contributor.institutionUniversidade do Porto
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-27T11:25:22Z
dc.date.available2014-05-27T11:25:22Z
dc.date.issued2010-12-01
dc.description.abstractWe consider an infinite horizon optimal impulsive control problems for which a given cost function is minimized by choosing control strategies driving the state to a point in a given closed set C ∞. We present necessary conditions of optimality in the form of a maximum principle for which the boundary condition of the adjoint variable is such that non-degeneracy due to the fact that the time horizon is infinite is ensured. These conditions are given for conventional systems in a first instance and then for impulsive control problems. They are proved by considering a family of approximating auxiliary interval conventional (without impulses) optimal control problems defined on an increasing sequence of finite time intervals. As far as we know, results of this kind have not been derived previously. © 2010 IFAC.en
dc.description.affiliationInstitute for Systems and Robotics-Porto Faculdade de Engenharia Universidade do Porto, Rua Dr. Roberto Frias, 4200-465 Porto
dc.description.affiliationDept. Computer Science and Statistics Universidade Estadual Paulista, 15054-000 - S. J. Rio Preto-SP
dc.description.affiliationUnespDept. Computer Science and Statistics Universidade Estadual Paulista, 15054-000 - S. J. Rio Preto-SP
dc.format.extent1326-1331
dc.identifierhttp://dx.doi.org/10.3182/20100901-3-IT-2016.00272
dc.identifier.citationIFAC Proceedings Volumes (IFAC-PapersOnline), p. 1326-1331.
dc.identifier.doi10.3182/20100901-3-IT-2016.00272
dc.identifier.issn1474-6670
dc.identifier.lattes3638688119433520
dc.identifier.scopus2-s2.0-80051768975
dc.identifier.urihttp://hdl.handle.net/11449/72096
dc.language.isoeng
dc.relation.ispartofIFAC Proceedings Volumes (IFAC-PapersOnline)
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectControl
dc.subjectMaximum principle
dc.subjectNecessary conditions of optimality
dc.subjectOptimal stability
dc.subjectAdjoint variables
dc.subjectAsymptotically stable
dc.subjectClosed set
dc.subjectControl strategies
dc.subjectConventional systems
dc.subjectDynamic control systems
dc.subjectFinite time intervals
dc.subjectImpulsive controls
dc.subjectInfinite horizons
dc.subjectInfinite time
dc.subjectNon-degeneracy
dc.subjectOptimal control problem
dc.subjectOptimal impulsive control
dc.subjectTime horizons
dc.subjectControl theory
dc.subjectNonlinear control systems
dc.subjectOptimization
dc.subjectControl system stability
dc.titleA maximum principle for infinite time asymptotically stable impulsive dynamic control systemsen
dc.typeTrabalho apresentado em evento
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dspace.entity.typePublication
unesp.author.lattes3638688119433520
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentCiências da Computação e Estatística - IBILCEpt

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas