Gauge symmetries and Noether currents in optimal control

Detalhes bibliográficos
Autor(a) principal: Torres, D.F.M.
Data de Publicação: 2003
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/4101
Resumo: We extend the second Noether theorem to optimal control problems which are invariant under symmetries depending upon k arbitrary functions of the independent variable and their derivatives up to some order m. As far as we consider a semi-invariance notion, and the transformation group may also depend on the control variables, the result is new even in the classical context of the calculus of variations.
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spelling Gauge symmetries and Noether currents in optimal controlWe extend the second Noether theorem to optimal control problems which are invariant under symmetries depending upon k arbitrary functions of the independent variable and their derivatives up to some order m. As far as we consider a semi-invariance notion, and the transformation group may also depend on the control variables, the result is new even in the classical context of the calculus of variations.Tsing Hua University, Department of Mathematics2011-10-10T16:45:29Z2003-01-01T00:00:00Z2003info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/4101eng1607-2510Torres, 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:RCAAP2024-02-22T11:04:24Zoai:ria.ua.pt:10773/4101Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:42:10.927472Repositório 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 Gauge symmetries and Noether currents in optimal control
title Gauge symmetries and Noether currents in optimal control
spellingShingle Gauge symmetries and Noether currents in optimal control
Torres, D.F.M.
title_short Gauge symmetries and Noether currents in optimal control
title_full Gauge symmetries and Noether currents in optimal control
title_fullStr Gauge symmetries and Noether currents in optimal control
title_full_unstemmed Gauge symmetries and Noether currents in optimal control
title_sort Gauge symmetries and Noether currents in optimal control
author Torres, D.F.M.
author_facet Torres, D.F.M.
author_role author
dc.contributor.author.fl_str_mv Torres, D.F.M.
description We extend the second Noether theorem to optimal control problems which are invariant under symmetries depending upon k arbitrary functions of the independent variable and their derivatives up to some order m. As far as we consider a semi-invariance notion, and the transformation group may also depend on the control variables, the result is new even in the classical context of the calculus of variations.
publishDate 2003
dc.date.none.fl_str_mv 2003-01-01T00:00:00Z
2003
2011-10-10T16:45:29Z
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/10773/4101
url http://hdl.handle.net/10773/4101
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1607-2510
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.publisher.none.fl_str_mv Tsing Hua University, Department of Mathematics
publisher.none.fl_str_mv Tsing Hua University, Department of Mathematics
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
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reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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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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