A class of multiobjective control problems

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dc.contributor.authorde Oliveira, V. A.
dc.contributor.authorSilva, Geraldo Nunes [UNESP]
dc.contributor.authorRojas-Medar, M. A.
dc.contributor.institutionUniversidade Federal de Uberlândia (UFU)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniv Bio Bio
dc.date.accessioned2014-05-20T15:30:59Z
dc.date.available2014-05-20T15:30:59Z
dc.date.issued2009-01-01
dc.description.abstractWe introduce the class of MP-pseudoinvex multiobjective optimal control problems. We show that the concept of MP-pseudoinvexity is a sufficient condition of optimality and, further, that problems such that every control process satisfying Pontryagin's maximum principle is an optimal process are necessarily MP-pseudoinvex problems. Moreover, a sub-class of the MP-pseudoinvex problems, which we call MP-invex multiobjective optimal control problems, is defined. We prove that the set of optimal solutions of MP-invex multiobjective problems coincides with the set of optimal solutions of a related scalar problem. Copyright (C) 2008 John Wiley & Sons, Ltd.en
dc.description.affiliationUniversidade Federal de Uberlândia (UFU), Fac Ciencias Integradas Pontal, BR-38302000 Ituiutaba, MG, Brazil
dc.description.affiliationUniv Estadual Paulista UNESP, Dept Ciencias Computacao & Estatist, BR-15054000 Sao Jose do Rio Pretro, Brazil
dc.description.affiliationUniv Bio Bio, Fac Ciencias, Dept Ciencias Basicas, Chillan, Chile
dc.description.affiliationUnespUniv Estadual Paulista UNESP, Dept Ciencias Computacao & Estatist, BR-15054000 Sao Jose do Rio Pretro, Brazil
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipMinisterio de Educacion-Spain
dc.description.sponsorshipFondecyt-Chile
dc.description.sponsorshipIdFAPESP: 06/04315-2
dc.description.sponsorshipIdCNPq: 306461-2004-0
dc.description.sponsorshipIdFAPESP: 07/05226-6
dc.description.sponsorshipIdMinisterio de Educacion-Spain: MTM2006-07932
dc.description.sponsorshipIdFondecyt-Chile: 1080628
dc.format.extent77-86
dc.identifierhttp://dx.doi.org/10.1002/oca.863
dc.identifier.citationOptimal Control Applications & Methods. Chichester: John Wiley & Sons Ltd, v. 30, n. 1, p. 77-86, 2009.
dc.identifier.doi10.1002/oca.863
dc.identifier.issn0143-2087
dc.identifier.lattes9527284964541341
dc.identifier.lattes3638688119433520
dc.identifier.urihttp://hdl.handle.net/11449/40256
dc.identifier.wosWOS:000263500900005
dc.language.isoeng
dc.publisherJohn Wiley & Sons Ltd
dc.relation.ispartofOptimal Control Applications & Methods
dc.relation.ispartofjcr1.614
dc.relation.ispartofsjr0,825
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectmultiple objective programmingen
dc.subjectControlen
dc.subjectOptimality conditionsen
dc.subjectgeneralized invexityen
dc.titleA class of multiobjective control problemsen
dc.typeArtigo
dcterms.licensehttp://olabout.wiley.com/WileyCDA/Section/id-406071.html
dcterms.rightsHolderJohn Wiley & Sons Ltd
unesp.author.lattes9527284964541341
unesp.author.lattes3638688119433520
unesp.author.orcid0000-0002-3574-9893[2]
unesp.author.orcid0000-0003-3613-3801[1]
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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