A New Sufficient Condition for Optimal Impulsive Control Problems

Detalhes bibliográficos
Autor(a) principal: Oliveira, Valeriano A. de [UNESP]
Data de Publicação: 2012
Outros Autores: Silva, Geraldo N. [UNESP], Pereira, Fernando Lobo, IEEE
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://hdl.handle.net/11449/197428
Resumo: In this article we introduce the concept of MP-pseudoinvexity for general nonlinear impulsive optimal control problems whose dynamics are specified by measure driven control equations. This is a general paradigm in that, both the absolutely continuous and singular components of the dynamics depend on both the state and the control variables. The key result consists in showing the sufficiency for optimality of the MP-pseudoinvexity. It is proved that, if this property holds, then every process satisfying the maximum principle is an optimal one. This result is obtained in the context of a proper solution concept that will be presented and discussed.
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spelling A New Sufficient Condition for Optimal Impulsive Control ProblemsIn this article we introduce the concept of MP-pseudoinvexity for general nonlinear impulsive optimal control problems whose dynamics are specified by measure driven control equations. This is a general paradigm in that, both the absolutely continuous and singular components of the dynamics depend on both the state and the control variables. The key result consists in showing the sufficiency for optimality of the MP-pseudoinvexity. It is proved that, if this property holds, then every process satisfying the maximum principle is an optimal one. This result is obtained in the context of a proper solution concept that will be presented and discussed.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Foundation for Science and Technology(Portugal) R DUNESP Univ Estadual Paulista, Inst Biociencias Letras & Ciencias Exatas, Rua Cristovao Colombo 2265, BR-15054000 Sao Jose Do Rio Preto, SP, BrazilUniv Porto, Fac Engn, Porto, PortugalUNESP Univ Estadual Paulista, Inst Biociencias Letras & Ciencias Exatas, Rua Cristovao Colombo 2265, BR-15054000 Sao Jose Do Rio Preto, SP, BrazilFAPESP: 2011/01977-2FAPESP: 2009/18643-0CNPq: 305418/2009-2Foundation for Science and Technology(Portugal) R D: CRO/104901/2008Foundation for Science and Technology(Portugal) R D: CRO/116014/2009IeeeUniversidade Estadual Paulista (Unesp)Univ PortoOliveira, Valeriano A. de [UNESP]Silva, Geraldo N. [UNESP]Pereira, Fernando LoboIEEE2020-12-10T22:31:18Z2020-12-10T22:31:18Z2012-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject6418-64232012 Ieee 51st Annual Conference On Decision And Control (cdc). New York: Ieee, p. 6418-6423, 2012.0743-1546http://hdl.handle.net/11449/197428WOS:000327200406111Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPeng2012 Ieee 51st Annual Conference On Decision And Control (cdc)info:eu-repo/semantics/openAccess2021-10-23T14:40:22Zoai:repositorio.unesp.br:11449/197428Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T14:40:22Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv A New Sufficient Condition for Optimal Impulsive Control Problems
title A New Sufficient Condition for Optimal Impulsive Control Problems
spellingShingle A New Sufficient Condition for Optimal Impulsive Control Problems
Oliveira, Valeriano A. de [UNESP]
title_short A New Sufficient Condition for Optimal Impulsive Control Problems
title_full A New Sufficient Condition for Optimal Impulsive Control Problems
title_fullStr A New Sufficient Condition for Optimal Impulsive Control Problems
title_full_unstemmed A New Sufficient Condition for Optimal Impulsive Control Problems
title_sort A New Sufficient Condition for Optimal Impulsive Control Problems
author Oliveira, Valeriano A. de [UNESP]
author_facet Oliveira, Valeriano A. de [UNESP]
Silva, Geraldo N. [UNESP]
Pereira, Fernando Lobo
IEEE
author_role author
author2 Silva, Geraldo N. [UNESP]
Pereira, Fernando Lobo
IEEE
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Univ Porto
dc.contributor.author.fl_str_mv Oliveira, Valeriano A. de [UNESP]
Silva, Geraldo N. [UNESP]
Pereira, Fernando Lobo
IEEE
description In this article we introduce the concept of MP-pseudoinvexity for general nonlinear impulsive optimal control problems whose dynamics are specified by measure driven control equations. This is a general paradigm in that, both the absolutely continuous and singular components of the dynamics depend on both the state and the control variables. The key result consists in showing the sufficiency for optimality of the MP-pseudoinvexity. It is proved that, if this property holds, then every process satisfying the maximum principle is an optimal one. This result is obtained in the context of a proper solution concept that will be presented and discussed.
publishDate 2012
dc.date.none.fl_str_mv 2012-01-01
2020-12-10T22:31:18Z
2020-12-10T22:31:18Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/conferenceObject
format conferenceObject
status_str publishedVersion
dc.identifier.uri.fl_str_mv 2012 Ieee 51st Annual Conference On Decision And Control (cdc). New York: Ieee, p. 6418-6423, 2012.
0743-1546
http://hdl.handle.net/11449/197428
WOS:000327200406111
identifier_str_mv 2012 Ieee 51st Annual Conference On Decision And Control (cdc). New York: Ieee, p. 6418-6423, 2012.
0743-1546
WOS:000327200406111
url http://hdl.handle.net/11449/197428
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2012 Ieee 51st Annual Conference On Decision And Control (cdc)
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 6418-6423
dc.publisher.none.fl_str_mv Ieee
publisher.none.fl_str_mv Ieee
dc.source.none.fl_str_mv Web of Science
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
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