Symbolic computation of variational symmetries in optimal control
Autor(a) principal: | |
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Data de Publicação: | 2006 |
Outros Autores: | , |
Tipo de documento: | Relatório |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10198/1968 |
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). |
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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).Universidade de AveiroBiblioteca Digital do IPBGouveia, Paulo D.F.Torres, Delfim F.M.Rocha, Eugénio A.M.2010-02-17T16:59:14Z20062006-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/reportapplication/pdfhttp://hdl.handle.net/10198/1968engGouveia, Paulo D.F.; Torres, Delfim F.M.; Rocha, Eugénio A.M. (2006). Symbolic computation of variational symmetries in optimal control. Cadernos de Matemática. CM06/I-02.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:RCAAP2023-01-16T12:05:48ZPortal AgregadorONG |
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 2010-02-17T16:59:14Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/report |
format |
report |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10198/1968 |
url |
http://hdl.handle.net/10198/1968 |
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. Cadernos de Matemática. CM06/I-02. |
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 |
Universidade de Aveiro |
publisher.none.fl_str_mv |
Universidade de Aveiro |
dc.source.none.fl_str_mv |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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