Quadratures of Pontryagin extremals for optimal control problems

Detalhes bibliográficos
Autor(a) principal: Rocha, E.A.M.
Data de Publicação: 2006
Outros Autores: Torres, D.F.M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/4145
Resumo: We obtain a method to compute effective first integrals by combining Noether's principle with the Kozlov-Kolesnikov integrability theorem. A sufficient condition for the integrability by quadratures of optimal control problems with controls taking values on open sets is obtained. We illustrate our approach on some problems taken from the literature. An alternative proof of the integrability of the sub-Riemannian nilpotent Lie group of type (2,3,5) is also given.
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spelling Quadratures of Pontryagin extremals for optimal control problemsIntegrability by quadraturesKozlov-Kolesnikov integrabilityNoether's symmetry theoremOptimal controlWe obtain a method to compute effective first integrals by combining Noether's principle with the Kozlov-Kolesnikov integrability theorem. A sufficient condition for the integrability by quadratures of optimal control problems with controls taking values on open sets is obtained. We illustrate our approach on some problems taken from the literature. An alternative proof of the integrability of the sub-Riemannian nilpotent Lie group of type (2,3,5) is also given.Polish Academy of Sciences2011-10-13T08:46:13Z2006-01-01T00:00:00Z2006info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/4145eng0324-8569Rocha, E.A.M.Torres, D.F.M.info: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:RCAAP2024-02-22T11:04:23Zoai:ria.ua.pt:10773/4145Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:42:10.700322Repositório 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 Quadratures of Pontryagin extremals for optimal control problems
title Quadratures of Pontryagin extremals for optimal control problems
spellingShingle Quadratures of Pontryagin extremals for optimal control problems
Rocha, E.A.M.
Integrability by quadratures
Kozlov-Kolesnikov integrability
Noether's symmetry theorem
Optimal control
title_short Quadratures of Pontryagin extremals for optimal control problems
title_full Quadratures of Pontryagin extremals for optimal control problems
title_fullStr Quadratures of Pontryagin extremals for optimal control problems
title_full_unstemmed Quadratures of Pontryagin extremals for optimal control problems
title_sort Quadratures of Pontryagin extremals for optimal control problems
author Rocha, E.A.M.
author_facet Rocha, E.A.M.
Torres, D.F.M.
author_role author
author2 Torres, D.F.M.
author2_role author
dc.contributor.author.fl_str_mv Rocha, E.A.M.
Torres, D.F.M.
dc.subject.por.fl_str_mv Integrability by quadratures
Kozlov-Kolesnikov integrability
Noether's symmetry theorem
Optimal control
topic Integrability by quadratures
Kozlov-Kolesnikov integrability
Noether's symmetry theorem
Optimal control
description We obtain a method to compute effective first integrals by combining Noether's principle with the Kozlov-Kolesnikov integrability theorem. A sufficient condition for the integrability by quadratures of optimal control problems with controls taking values on open sets is obtained. We illustrate our approach on some problems taken from the literature. An alternative proof of the integrability of the sub-Riemannian nilpotent Lie group of type (2,3,5) is also given.
publishDate 2006
dc.date.none.fl_str_mv 2006-01-01T00:00:00Z
2006
2011-10-13T08:46:13Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/4145
url http://hdl.handle.net/10773/4145
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0324-8569
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv Polish Academy of Sciences
publisher.none.fl_str_mv Polish Academy of Sciences
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
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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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