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.doi10.1093/imamci/dnz036
dc.identifier.issn1471-6887
dc.identifier.issn0265-0754
dc.identifier.scopus2-s2.0-85094909244
dc.identifier.urihttp://hdl.handle.net/11449/208100
dc.language.isoeng
dc.relation.ispartofIMA Journal of Mathematical Control and Information
dc.sourceScopus
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.typeArtigo

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