On the degeneracy phenomenon for nonlinear optimal control problems with higher index state constraints

Detalhes bibliográficos
Autor(a) principal: Lopes, Sofia Oliveira
Data de Publicação: 2008
Outros Autores: Fontes, Fernando A. C. C.
Tipo de documento: Relatório
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/7909
Resumo: Relatório Técnico do Núcleo de Investigação Officina Mathematica.
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spelling On the degeneracy phenomenon for nonlinear optimal control problems with higher index state constraintsOptimal controlDegeneracy phenomenonRelatório Técnico do Núcleo de Investigação Officina Mathematica.Necessary conditions of optimality (NCO) play an important role in optimization problems. They are the major tool to select a set of candidates to minimizers. In optimal control theory, the NCO appear in the form of a Maximum Principle (MP). For certain optimal control problems with state constraints, it might happen that the MP are unable to provide useful information --- the set of all admissible solutions coincides with the set of candidates that satisfy the MP. When this happens, the MP is said to degenerate. In the recent years, there has been some literature on fortified forms of the MP in such way that avoid degeneracy. These fortified forms involve additional hypotheses --- Constraint Qualifications. Whenever the state constraints have higher index (i.e. their first derivative with respect to time does not depend on control), the current constraint qualifications are not adequate. So, the main purpose here is fortify the maximum principle for optimal control problems with higher index constraints, for which there is a need to develop new constraint qualifications. The results presented here are a generalization to nonlinear problems of a previous work.The financial support from Projecto FCT POSC/EEA-SRI/61831/2004 is gratefully acknowledged.Universidade do MinhoLopes, Sofia OliveiraFontes, Fernando A. C. C.2008-06-042008-06-04T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/reportapplication/pdfhttp://hdl.handle.net/1822/7909enginfo: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:RCAAP2023-07-21T12:32:14Zoai:repositorium.sdum.uminho.pt:1822/7909Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:27:32.551094Repositório 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 the degeneracy phenomenon for nonlinear optimal control problems with higher index state constraints
title On the degeneracy phenomenon for nonlinear optimal control problems with higher index state constraints
spellingShingle On the degeneracy phenomenon for nonlinear optimal control problems with higher index state constraints
Lopes, Sofia Oliveira
Optimal control
Degeneracy phenomenon
title_short On the degeneracy phenomenon for nonlinear optimal control problems with higher index state constraints
title_full On the degeneracy phenomenon for nonlinear optimal control problems with higher index state constraints
title_fullStr On the degeneracy phenomenon for nonlinear optimal control problems with higher index state constraints
title_full_unstemmed On the degeneracy phenomenon for nonlinear optimal control problems with higher index state constraints
title_sort On the degeneracy phenomenon for nonlinear optimal control problems with higher index state constraints
author Lopes, Sofia Oliveira
author_facet Lopes, Sofia Oliveira
Fontes, Fernando A. C. C.
author_role author
author2 Fontes, Fernando A. C. C.
author2_role author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Lopes, Sofia Oliveira
Fontes, Fernando A. C. C.
dc.subject.por.fl_str_mv Optimal control
Degeneracy phenomenon
topic Optimal control
Degeneracy phenomenon
description Relatório Técnico do Núcleo de Investigação Officina Mathematica.
publishDate 2008
dc.date.none.fl_str_mv 2008-06-04
2008-06-04T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/report
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/1822/7909
url http://hdl.handle.net/1822/7909
dc.language.iso.fl_str_mv eng
language eng
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