On first order state constrained optimal control problems

Detalhes bibliográficos
Autor(a) principal: Maria do Rosário de Pinho
Data de Publicação: 2014
Outros Autores: Igor Kornienko
Tipo de documento: Livro
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://hdl.handle.net/10216/85694
Resumo: We show that exact penalization techniques can be applied to optimal control problems with state constraints under a hard to verify hypothesis. Investigating conditions implying our hypothetical hypothesis we discuss some recent theoretical results on regularity of multipliers for optimal control problem involving first order state constraints. We show by an example that known conditions asserting regularity of the multipliers do not prevent the appearance of atoms in the multiplier measure. Our accompanying example is treated both numerically and analytically. Extension to cover problems with additional mixed state constraints is also discussed
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spelling On first order state constrained optimal control problemsWe show that exact penalization techniques can be applied to optimal control problems with state constraints under a hard to verify hypothesis. Investigating conditions implying our hypothetical hypothesis we discuss some recent theoretical results on regularity of multipliers for optimal control problem involving first order state constraints. We show by an example that known conditions asserting regularity of the multipliers do not prevent the appearance of atoms in the multiplier measure. Our accompanying example is treated both numerically and analytically. Extension to cover problems with additional mixed state constraints is also discussed20142014-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/bookapplication/pdfhttps://hdl.handle.net/10216/85694engMaria do Rosário de PinhoIgor Kornienkoinfo: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:RCAAP2023-11-29T14:19:50Zoai:repositorio-aberto.up.pt:10216/85694Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T23:59:04.245875Repositório 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 On first order state constrained optimal control problems
title On first order state constrained optimal control problems
spellingShingle On first order state constrained optimal control problems
Maria do Rosário de Pinho
title_short On first order state constrained optimal control problems
title_full On first order state constrained optimal control problems
title_fullStr On first order state constrained optimal control problems
title_full_unstemmed On first order state constrained optimal control problems
title_sort On first order state constrained optimal control problems
author Maria do Rosário de Pinho
author_facet Maria do Rosário de Pinho
Igor Kornienko
author_role author
author2 Igor Kornienko
author2_role author
dc.contributor.author.fl_str_mv Maria do Rosário de Pinho
Igor Kornienko
description We show that exact penalization techniques can be applied to optimal control problems with state constraints under a hard to verify hypothesis. Investigating conditions implying our hypothetical hypothesis we discuss some recent theoretical results on regularity of multipliers for optimal control problem involving first order state constraints. We show by an example that known conditions asserting regularity of the multipliers do not prevent the appearance of atoms in the multiplier measure. Our accompanying example is treated both numerically and analytically. Extension to cover problems with additional mixed state constraints is also discussed
publishDate 2014
dc.date.none.fl_str_mv 2014
2014-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/book
format book
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://hdl.handle.net/10216/85694
url https://hdl.handle.net/10216/85694
dc.language.iso.fl_str_mv eng
language eng
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
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