Automatic computation of conservation laws in the calculus of variations and optimal control

Detalhes bibliográficos
Autor(a) principal: Gouveia, Paulo D.F.
Data de Publicação: 2006
Outros Autores: Torres, Delfim F.M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Texto Completo: http://hdl.handle.net/10198/1970
Resumo: Computer Application
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spelling Automatic computation of conservation laws in the calculus of variations and optimal controlOptimal controlCalculus of variationsComputer algebraNoether’s theoremSymmetriesConservation lawsComputer ApplicationWe present analytic computational tools that permit us to identify, in an automatic way, conservation laws in optimal control. The central result we use is the famous Noether's theorem, a classical theory developed by Emmy Noether in 1918, in the context of the calculus of variations and mathematical physics, and which was extended recently to the more general context of optimal control. We show how a Computer Algebra System can be very helpful in finding the symmetries and corresponding conservation laws in optimal control theory, thus making useful in practice the theoretical results recently obtained in the literature. A Maple implementation is provided and several illustrative examples given.MaplesoftBiblioteca Digital do IPBGouveia, Paulo D.F.Torres, Delfim F.M.2010-02-17T17:04:15Z20062006-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/octet-streamimage/tiffhttp://hdl.handle.net/10198/1970engGouveia, Paulo D.F.; Torres, Delfim F.M. (2006). Automatic computation of conservation laws in the calculus of variations and optimal control. Maple Application Centre.info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2025-02-25T11:55:24Zoai:bibliotecadigital.ipb.pt:10198/1970Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T11:16:58.548321Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Automatic computation of conservation laws in the calculus of variations and optimal control
title Automatic computation of conservation laws in the calculus of variations and optimal control
spellingShingle Automatic computation of conservation laws in the calculus of variations and optimal control
Gouveia, Paulo D.F.
Optimal control
Calculus of variations
Computer algebra
Noether’s theorem
Symmetries
Conservation laws
title_short Automatic computation of conservation laws in the calculus of variations and optimal control
title_full Automatic computation of conservation laws in the calculus of variations and optimal control
title_fullStr Automatic computation of conservation laws in the calculus of variations and optimal control
title_full_unstemmed Automatic computation of conservation laws in the calculus of variations and optimal control
title_sort Automatic computation of conservation laws in the calculus of variations and optimal control
author Gouveia, Paulo D.F.
author_facet Gouveia, Paulo D.F.
Torres, Delfim F.M.
author_role author
author2 Torres, Delfim F.M.
author2_role author
dc.contributor.none.fl_str_mv Biblioteca Digital do IPB
dc.contributor.author.fl_str_mv Gouveia, Paulo D.F.
Torres, Delfim F.M.
dc.subject.por.fl_str_mv Optimal control
Calculus of variations
Computer algebra
Noether’s theorem
Symmetries
Conservation laws
topic Optimal control
Calculus of variations
Computer algebra
Noether’s theorem
Symmetries
Conservation laws
description Computer Application
publishDate 2006
dc.date.none.fl_str_mv 2006
2006-01-01T00:00:00Z
2010-02-17T17:04:15Z
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 http://hdl.handle.net/10198/1970
url http://hdl.handle.net/10198/1970
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Gouveia, Paulo D.F.; Torres, Delfim F.M. (2006). Automatic computation of conservation laws in the calculus of variations and optimal control. Maple Application Centre.
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/octet-stream
image/tiff
dc.publisher.none.fl_str_mv Maplesoft
publisher.none.fl_str_mv Maplesoft
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
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reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
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repository.mail.fl_str_mv info@rcaap.pt
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