Optimal control of affine connection control systems from the point of view of Lie algebroids
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2014 |
| Outros Autores: | |
| Tipo de documento: | Artigo |
| Idioma: | eng |
| Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
| Texto Completo: | http://hdl.handle.net/10316/44964 https://doi.org/10.1142/S0219887814500388 |
Resumo: | The purpose of this paper is to use the framework of Lie algebroids to study optimal control problems for affine connection control systems on Lie groups. In this context, the equations for critical trajectories of the problem are geometrically characterized as a Hamiltonian vector field. |
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Optimal control of affine connection control systems from the point of view of Lie algebroidsThe purpose of this paper is to use the framework of Lie algebroids to study optimal control problems for affine connection control systems on Lie groups. In this context, the equations for critical trajectories of the problem are geometrically characterized as a Hamiltonian vector field.World Scientific Publishing2014-06-13info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/44964http://hdl.handle.net/10316/44964https://doi.org/10.1142/S0219887814500388https://doi.org/10.1142/S0219887814500388eng0219-8878http://www.worldscientific.com/doi/abs/10.1142/S0219887814500388Abrunheiro, LígiaCamarinha, Margaridainfo: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:RCAAP2021-06-29T10:03:20Zoai:estudogeral.uc.pt:10316/44964Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:53:26.455897Repositório 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 |
Optimal control of affine connection control systems from the point of view of Lie algebroids |
| title |
Optimal control of affine connection control systems from the point of view of Lie algebroids |
| spellingShingle |
Optimal control of affine connection control systems from the point of view of Lie algebroids Abrunheiro, Lígia |
| title_short |
Optimal control of affine connection control systems from the point of view of Lie algebroids |
| title_full |
Optimal control of affine connection control systems from the point of view of Lie algebroids |
| title_fullStr |
Optimal control of affine connection control systems from the point of view of Lie algebroids |
| title_full_unstemmed |
Optimal control of affine connection control systems from the point of view of Lie algebroids |
| title_sort |
Optimal control of affine connection control systems from the point of view of Lie algebroids |
| author |
Abrunheiro, Lígia |
| author_facet |
Abrunheiro, Lígia Camarinha, Margarida |
| author_role |
author |
| author2 |
Camarinha, Margarida |
| author2_role |
author |
| dc.contributor.author.fl_str_mv |
Abrunheiro, Lígia Camarinha, Margarida |
| description |
The purpose of this paper is to use the framework of Lie algebroids to study optimal control problems for affine connection control systems on Lie groups. In this context, the equations for critical trajectories of the problem are geometrically characterized as a Hamiltonian vector field. |
| publishDate |
2014 |
| dc.date.none.fl_str_mv |
2014-06-13 |
| 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/10316/44964 http://hdl.handle.net/10316/44964 https://doi.org/10.1142/S0219887814500388 https://doi.org/10.1142/S0219887814500388 |
| url |
http://hdl.handle.net/10316/44964 https://doi.org/10.1142/S0219887814500388 |
| dc.language.iso.fl_str_mv |
eng |
| language |
eng |
| dc.relation.none.fl_str_mv |
0219-8878 http://www.worldscientific.com/doi/abs/10.1142/S0219887814500388 |
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info:eu-repo/semantics/openAccess |
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openAccess |
| dc.publisher.none.fl_str_mv |
World Scientific Publishing |
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World Scientific Publishing |
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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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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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