On sufficient optimality conditions for multiobjective control problems

Detalhes bibliográficos
Autor(a) principal: de Oliveira, Valeriano Antunes [UNESP]
Data de Publicação: 2016
Outros Autores: Silva, Geraldo Nunes [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/s10898-015-0351-y
http://hdl.handle.net/11449/172010
Resumo: This paper is devoted to presenting optimality conditions for the sufficiency of the maximum principle for multiobjective optimal control problems with nonsmooth data. Such conditions are the most general as possible in the sense that problems in which the set of necessary conditions from the maximum principle are also sufficient, necessarily obey them. A variation of such conditions is also presented, under which the set of optimal solutions of the multiobjective problem can be determined by resolving a related scalar weighting problem.
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spelling On sufficient optimality conditions for multiobjective control problemsGeneralized convexityMultiobjective programmingOptimal controlOptimality conditionsThis paper is devoted to presenting optimality conditions for the sufficiency of the maximum principle for multiobjective optimal control problems with nonsmooth data. Such conditions are the most general as possible in the sense that problems in which the set of necessary conditions from the maximum principle are also sufficient, necessarily obey them. A variation of such conditions is also presented, under which the set of optimal solutions of the multiobjective problem can be determined by resolving a related scalar weighting problem.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Instituto de Biociências Letras e Ciências Exatas Departamento de Matemática Aplicada UNESP - Universidade Estadual Paulista, Câmpus de São José do Rio Preto, Rua Cristóvão Colombo, N. 2265Instituto de Biociências Letras e Ciências Exatas Departamento de Matemática Aplicada UNESP - Universidade Estadual Paulista, Câmpus de São José do Rio Preto, Rua Cristóvão Colombo, N. 2265FAPESP: 2013/07375-0FAPESP: 309335/2012-4FAPESP: 457785/2014-4FAPESP: 479109/2013-3Universidade Estadual Paulista (Unesp)de Oliveira, Valeriano Antunes [UNESP]Silva, Geraldo Nunes [UNESP]2018-12-11T16:58:08Z2018-12-11T16:58:08Z2016-04-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article721-744application/pdfhttp://dx.doi.org/10.1007/s10898-015-0351-yJournal of Global Optimization, v. 64, n. 4, p. 721-744, 2016.1573-29160925-5001http://hdl.handle.net/11449/17201010.1007/s10898-015-0351-y2-s2.0-849398255012-s2.0-84939825501.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Global Optimization1,3111,311info:eu-repo/semantics/openAccess2023-12-08T06:17:46Zoai:repositorio.unesp.br:11449/172010Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-12-08T06:17:46Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv On sufficient optimality conditions for multiobjective control problems
title On sufficient optimality conditions for multiobjective control problems
spellingShingle On sufficient optimality conditions for multiobjective control problems
de Oliveira, Valeriano Antunes [UNESP]
Generalized convexity
Multiobjective programming
Optimal control
Optimality conditions
title_short On sufficient optimality conditions for multiobjective control problems
title_full On sufficient optimality conditions for multiobjective control problems
title_fullStr On sufficient optimality conditions for multiobjective control problems
title_full_unstemmed On sufficient optimality conditions for multiobjective control problems
title_sort On sufficient optimality conditions for multiobjective control problems
author de Oliveira, Valeriano Antunes [UNESP]
author_facet de Oliveira, Valeriano Antunes [UNESP]
Silva, Geraldo Nunes [UNESP]
author_role author
author2 Silva, Geraldo Nunes [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv de Oliveira, Valeriano Antunes [UNESP]
Silva, Geraldo Nunes [UNESP]
dc.subject.por.fl_str_mv Generalized convexity
Multiobjective programming
Optimal control
Optimality conditions
topic Generalized convexity
Multiobjective programming
Optimal control
Optimality conditions
description This paper is devoted to presenting optimality conditions for the sufficiency of the maximum principle for multiobjective optimal control problems with nonsmooth data. Such conditions are the most general as possible in the sense that problems in which the set of necessary conditions from the maximum principle are also sufficient, necessarily obey them. A variation of such conditions is also presented, under which the set of optimal solutions of the multiobjective problem can be determined by resolving a related scalar weighting problem.
publishDate 2016
dc.date.none.fl_str_mv 2016-04-01
2018-12-11T16:58:08Z
2018-12-11T16:58:08Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1007/s10898-015-0351-y
Journal of Global Optimization, v. 64, n. 4, p. 721-744, 2016.
1573-2916
0925-5001
http://hdl.handle.net/11449/172010
10.1007/s10898-015-0351-y
2-s2.0-84939825501
2-s2.0-84939825501.pdf
url http://dx.doi.org/10.1007/s10898-015-0351-y
http://hdl.handle.net/11449/172010
identifier_str_mv Journal of Global Optimization, v. 64, n. 4, p. 721-744, 2016.
1573-2916
0925-5001
10.1007/s10898-015-0351-y
2-s2.0-84939825501
2-s2.0-84939825501.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of Global Optimization
1,311
1,311
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 721-744
application/pdf
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1799965209082724352

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