Symbolic computation of variational symmetries in optimal control

Detalhes bibliográficos
Autor(a) principal: Gouveia, Paulo D.F.
Data de Publicação: 2006
Outros Autores: Torres, Delfim F.M., Rocha, Eugénio A.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/10198/1648
Resumo: We use a computer algebra system to compute, in an efficient way, optimal control variational symmetries up to a gauge term. The symmetries are then used to obtain families of Noether’s first integrals, possibly in the presence of nonconservative external forces. As an application, we obtain eight independent first integrals for the sub-Riemannian nilpotent problem (2, 3, 5, 8).
id RCAP_2552764e597c259ec426285a437eee89
oai_identifier_str oai:bibliotecadigital.ipb.pt:10198/1648
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling Symbolic computation of variational symmetries in optimal controlVariational symmetriesGauge termNonconservative forcesComputer algebra systemsNoether’s theoremFirst integralsOptimal controlWe use a computer algebra system to compute, in an efficient way, optimal control variational symmetries up to a gauge term. The symmetries are then used to obtain families of Noether’s first integrals, possibly in the presence of nonconservative external forces. As an application, we obtain eight independent first integrals for the sub-Riemannian nilpotent problem (2, 3, 5, 8).The support from the control theory group (cotg) of the R&D unit CEOC is here acknowledged. PG was also supported by the program PRODEP III/5.3/2003; DT and ER by the research project “Advances in Nonlinear Control and Calculus of Variations” POCTI/MAT/41683/2001. The authors are grateful to two anonymous referees for valuable comments and suggestions.Systems Research Institute of the Polish Academy of SciencesBiblioteca Digital do IPBGouveia, Paulo D.F.Torres, Delfim F.M.Rocha, Eugénio A.M.2010-02-01T21:48:21Z20062006-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10198/1648engGouveia, Paulo D.F.; Torres, Delfim F.M.; Rocha, Eugénio A.M. (2006). Symbolic computation of variational symmetries in optimal control. Control & Cybernetics. ISSN 0324-8569. 35:4, p. 831-8490324-8569info: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:RCAAP2023-11-21T10:05:47Zoai:bibliotecadigital.ipb.pt:10198/1648Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:55:09.713933Repositório 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 Symbolic computation of variational symmetries in optimal control
title Symbolic computation of variational symmetries in optimal control
spellingShingle Symbolic computation of variational symmetries in optimal control
Gouveia, Paulo D.F.
Variational symmetries
Gauge term
Nonconservative forces
Computer algebra systems
Noether’s theorem
First integrals
Optimal control
title_short Symbolic computation of variational symmetries in optimal control
title_full Symbolic computation of variational symmetries in optimal control
title_fullStr Symbolic computation of variational symmetries in optimal control
title_full_unstemmed Symbolic computation of variational symmetries in optimal control
title_sort Symbolic computation of variational symmetries in optimal control
author Gouveia, Paulo D.F.
author_facet Gouveia, Paulo D.F.
Torres, Delfim F.M.
Rocha, Eugénio A.M.
author_role author
author2 Torres, Delfim F.M.
Rocha, Eugénio A.M.
author2_role author
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.
Rocha, Eugénio A.M.
dc.subject.por.fl_str_mv Variational symmetries
Gauge term
Nonconservative forces
Computer algebra systems
Noether’s theorem
First integrals
Optimal control
topic Variational symmetries
Gauge term
Nonconservative forces
Computer algebra systems
Noether’s theorem
First integrals
Optimal control
description We use a computer algebra system to compute, in an efficient way, optimal control variational symmetries up to a gauge term. The symmetries are then used to obtain families of Noether’s first integrals, possibly in the presence of nonconservative external forces. As an application, we obtain eight independent first integrals for the sub-Riemannian nilpotent problem (2, 3, 5, 8).
publishDate 2006
dc.date.none.fl_str_mv 2006
2006-01-01T00:00:00Z
2010-02-01T21:48:21Z
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/10198/1648
url http://hdl.handle.net/10198/1648
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Gouveia, Paulo D.F.; Torres, Delfim F.M.; Rocha, Eugénio A.M. (2006). Symbolic computation of variational symmetries in optimal control. Control & Cybernetics. ISSN 0324-8569. 35:4, p. 831-849
0324-8569
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 Systems Research Institute of the Polish Academy of Sciences
publisher.none.fl_str_mv Systems Research Institute of the 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
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
repository.mail.fl_str_mv
_version_ 1799135154276401152

Registros relacionados