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A weak maximum principle for optimal control problems with mixed constraints under a constant rank condition

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dc.contributor.authorAndreani, Roberto
dc.contributor.authorde Oliveira, Valeriano Antunes [UNESP]
dc.contributor.authorPereira, Jamielli Tomaz
dc.contributor.authorSilva, Geraldo Nunes [UNESP]
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2021-06-25T11:06:21Z
dc.date.available2021-06-25T11:06:21Z
dc.date.issued2020-09-01
dc.description.abstractNecessary optimality conditions for optimal control problems with mixed state-control equality constraints are obtained. The necessary conditions are given in the form of a weak maximum principle and are obtained under (i) a new regularity condition for problems with mixed linear equality constraints and (ii) a constant rank type condition for the general non-linear case. Some instances of problems with equality and inequality constraints are also covered. Illustrative examples are presented.en
dc.description.affiliationDepartment of Applied Mathematics State University of Campinas (Unicamp), Rua Sérgio Buarque de Holanda, N. 651
dc.description.affiliationDepartment of Applied Mathematics São Paulo State University (Unesp), Rua Cristóvão Colombo, N. 2265
dc.description.affiliationUnespDepartment of Applied Mathematics São Paulo State University (Unesp), Rua Cristóvão Colombo, N. 2265
dc.format.extent1021-1047
dc.identifierhttp://dx.doi.org/10.1093/imamci/dnz036
dc.identifier.citationIMA Journal of Mathematical Control and Information, v. 37, n. 3, p. 1021-1047, 2020.
dc.identifier.dimensionspub.1122056597
dc.identifier.doi10.1093/imamci/dnz036
dc.identifier.issn1471-6887
dc.identifier.issn0265-0754
dc.identifier.orcid0000-0003-2031-4325
dc.identifier.orcid0000-0002-3574-9893
dc.identifier.orcid0000-0003-3613-3801
dc.identifier.orcid0000-0003-1642-2024
dc.identifier.scopus2-s2.0-85094909244
dc.identifier.urihttp://hdl.handle.net/11449/208100
dc.language.isoeng
dc.publisherOxford University Press (OUP)
dc.relation.ispartofIMA Journal of Mathematical Control and Information
dc.rights.accessRightsAcesso abertopt
dc.rights.sourceRightsoa_all
dc.rights.sourceRightsgreen
dc.sourceScopus
dc.sourceDimensions
dc.subjectConstant rank
dc.subjectMixed constraints
dc.subjectWeak maximum principle
dc.titleA weak maximum principle for optimal control problems with mixed constraints under a constant rank conditionen
dc.typeArtigopt
dspace.entity.typePublication
relation.isOrgUnitOfPublication43c38943-bd6f-4fb6-a9a5-8482a1f632c0
relation.isOrgUnitOfPublication.latestForDiscovery43c38943-bd6f-4fb6-a9a5-8482a1f632c0
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática Aplicada - IBILCEpt

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