Unmaximized inclusion necessary conditions for nonconvex constrained optimal control problems

Detalhes bibliográficos
Autor(a) principal: M. do Rosário de Pinho
Data de Publicação: 2005
Outros Autores: Maria Margarida Ferreira, Fernando Fontes
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://hdl.handle.net/10216/55939
Resumo: Necessary conditions of optimality in the form of Unmaximized Inclusions (UI) are derived for optimal control problems with state constraints. The conditions presented here generalize earlier optimality conditions to problems that may be nonconvex. The derivation of UI-type conditions in the absence of the convexity assumption is of particular importance when deriving necessary conditions for constrained problems. We illustrate this feature by establishing, as an application, optimality conditions for problems that in addition to state constraints incorporate mixed state-control constraints.
id RCAP_5c98fb5da1f65ac25db31dea23587a9e
oai_identifier_str oai:repositorio-aberto.up.pt:10216/55939
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling Unmaximized inclusion necessary conditions for nonconvex constrained optimal control problemsEngenharia electrotécnica, electrónica e informáticaElectrical engineering, Electronic engineering, Information engineeringNecessary conditions of optimality in the form of Unmaximized Inclusions (UI) are derived for optimal control problems with state constraints. The conditions presented here generalize earlier optimality conditions to problems that may be nonconvex. The derivation of UI-type conditions in the absence of the convexity assumption is of particular importance when deriving necessary conditions for constrained problems. We illustrate this feature by establishing, as an application, optimality conditions for problems that in addition to state constraints incorporate mixed state-control constraints.20052005-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10216/55939eng1292-811910.1051/cocv:2005020M. do Rosário de PinhoMaria Margarida FerreiraFernando Fontesinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-11-29T15:24:08Zoai:repositorio-aberto.up.pt:10216/55939Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:22:46.166608Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Unmaximized inclusion necessary conditions for nonconvex constrained optimal control problems
title Unmaximized inclusion necessary conditions for nonconvex constrained optimal control problems
spellingShingle Unmaximized inclusion necessary conditions for nonconvex constrained optimal control problems
M. do Rosário de Pinho
Engenharia electrotécnica, electrónica e informática
Electrical engineering, Electronic engineering, Information engineering
title_short Unmaximized inclusion necessary conditions for nonconvex constrained optimal control problems
title_full Unmaximized inclusion necessary conditions for nonconvex constrained optimal control problems
title_fullStr Unmaximized inclusion necessary conditions for nonconvex constrained optimal control problems
title_full_unstemmed Unmaximized inclusion necessary conditions for nonconvex constrained optimal control problems
title_sort Unmaximized inclusion necessary conditions for nonconvex constrained optimal control problems
author M. do Rosário de Pinho
author_facet M. do Rosário de Pinho
Maria Margarida Ferreira
Fernando Fontes
author_role author
author2 Maria Margarida Ferreira
Fernando Fontes
author2_role author
author
dc.contributor.author.fl_str_mv M. do Rosário de Pinho
Maria Margarida Ferreira
Fernando Fontes
dc.subject.por.fl_str_mv Engenharia electrotécnica, electrónica e informática
Electrical engineering, Electronic engineering, Information engineering
topic Engenharia electrotécnica, electrónica e informática
Electrical engineering, Electronic engineering, Information engineering
description Necessary conditions of optimality in the form of Unmaximized Inclusions (UI) are derived for optimal control problems with state constraints. The conditions presented here generalize earlier optimality conditions to problems that may be nonconvex. The derivation of UI-type conditions in the absence of the convexity assumption is of particular importance when deriving necessary conditions for constrained problems. We illustrate this feature by establishing, as an application, optimality conditions for problems that in addition to state constraints incorporate mixed state-control constraints.
publishDate 2005
dc.date.none.fl_str_mv 2005
2005-01-01T00:00:00Z
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 https://hdl.handle.net/10216/55939
url https://hdl.handle.net/10216/55939
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1292-8119
10.1051/cocv:2005020
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
_version_ 1799136143344664576

Registros relacionados