Necessary conditions of optimality for state constrained infinite horizon differential inclusions

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dc.contributor.authorPereira, Fernando Lobo
dc.contributor.authorDa Silva, Geraldo Nunes [UNESP]
dc.contributor.institutionFaculdade de Engenharia da Universidade Do Porto
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-27T11:26:14Z
dc.date.available2014-05-27T11:26:14Z
dc.date.issued2011-12-01
dc.description.abstractThis article presents and discusses necessary conditions of optimality for infinite horizon dynamic optimization problems with inequality state constraints and set inclusion constraints at both endpoints of the trajectory. The cost functional depends on the state variable at the final time, and the dynamics are given by a differential inclusion. Moreover, the optimization is carried out over asymptotically convergent state trajectories. The novelty of the proposed optimality conditions for this class of problems is that the boundary condition of the adjoint variable is given as a weak directional inclusion at infinity. This improves on the currently available necessary conditions of optimality for infinite horizon problems. © 2011 IEEE.en
dc.description.affiliationInstitute for Systems and Robotics-Porto Faculdade de Engenharia da Universidade Do Porto, Porto 4200-465
dc.description.affiliationDepartment of Computer Science and Statistics Universidade Estadual Paulista COD, S. José do Rio Preto
dc.description.affiliationUnespDepartment of Computer Science and Statistics Universidade Estadual Paulista COD, S. José do Rio Preto
dc.format.extent6717-6722
dc.identifierhttp://dx.doi.org/10.1109/CDC.2011.6161207
dc.identifier.citationProceedings of the IEEE Conference on Decision and Control, p. 6717-6722.
dc.identifier.doi10.1109/CDC.2011.6161207
dc.identifier.issn0191-2216
dc.identifier.lattes3638688119433520
dc.identifier.scopus2-s2.0-84860677286
dc.identifier.urihttp://hdl.handle.net/11449/72841
dc.language.isoeng
dc.relation.ispartofProceedings of the IEEE Conference on Decision and Control
dc.relation.ispartofsjr0,591
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectAdjoint variables
dc.subjectCost functionals
dc.subjectDifferential inclusions
dc.subjectDynamic optimization problem (DOP)
dc.subjectInfinite horizon problems
dc.subjectInfinite horizons
dc.subjectNecessary conditions of optimality
dc.subjectOptimality conditions
dc.subjectState constraints
dc.subjectState trajectory
dc.subjectState variables
dc.subjectDifferential equations
dc.subjectOptimization
dc.titleNecessary conditions of optimality for state constrained infinite horizon differential inclusionsen
dc.typeTrabalho apresentado em evento
dcterms.licensehttp://www.ieee.org/publications_standards/publications/rights/rights_policies.html
unesp.author.lattes3638688119433520
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Biociências Letras e Ciências Exatas, São José do Rio Pretopt

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