Relating Lagrangian and Hamiltonian formalisms of LC circuits
Autor(a) principal: | |
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Data de Publicação: | 2003 |
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/10316/12913 |
Resumo: | The Lagrangian formalism defined by Scherpen et al. (2000) for (switching) electrical circuits, is adapted to the Lagrangian formalism defined on Lie algebroids. This allows us to define regular Lagrangians and consequently, well-defined Hamiltonian descriptions of arbitrary LC networks. The relation with other Hamiltonian approaches is also analyzed and interpreted |
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Relating Lagrangian and Hamiltonian formalisms of LC circuitsHamiltonian formulationLagrangian formulationLC circuitsLie algebroidsThe Lagrangian formalism defined by Scherpen et al. (2000) for (switching) electrical circuits, is adapted to the Lagrangian formalism defined on Lie algebroids. This allows us to define regular Lagrangians and consequently, well-defined Hamiltonian descriptions of arbitrary LC networks. The relation with other Hamiltonian approaches is also analyzed and interpretedIEEE2003-10info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/12913http://hdl.handle.net/10316/12913engIEEE Transactions on Circuits and Systems Part I: Fundamental Theory and Applications. 50:10 (2003) 1359-13631057-7122Clemente-Gallardo, JesúsScherpen, Jacquelien M. A.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:RCAAP2020-05-25T13:07:34Zoai:estudogeral.uc.pt:10316/12913Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:00:47.322758Repositório 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 |
Relating Lagrangian and Hamiltonian formalisms of LC circuits |
title |
Relating Lagrangian and Hamiltonian formalisms of LC circuits |
spellingShingle |
Relating Lagrangian and Hamiltonian formalisms of LC circuits Clemente-Gallardo, Jesús Hamiltonian formulation Lagrangian formulation LC circuits Lie algebroids |
title_short |
Relating Lagrangian and Hamiltonian formalisms of LC circuits |
title_full |
Relating Lagrangian and Hamiltonian formalisms of LC circuits |
title_fullStr |
Relating Lagrangian and Hamiltonian formalisms of LC circuits |
title_full_unstemmed |
Relating Lagrangian and Hamiltonian formalisms of LC circuits |
title_sort |
Relating Lagrangian and Hamiltonian formalisms of LC circuits |
author |
Clemente-Gallardo, Jesús |
author_facet |
Clemente-Gallardo, Jesús Scherpen, Jacquelien M. A. |
author_role |
author |
author2 |
Scherpen, Jacquelien M. A. |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Clemente-Gallardo, Jesús Scherpen, Jacquelien M. A. |
dc.subject.por.fl_str_mv |
Hamiltonian formulation Lagrangian formulation LC circuits Lie algebroids |
topic |
Hamiltonian formulation Lagrangian formulation LC circuits Lie algebroids |
description |
The Lagrangian formalism defined by Scherpen et al. (2000) for (switching) electrical circuits, is adapted to the Lagrangian formalism defined on Lie algebroids. This allows us to define regular Lagrangians and consequently, well-defined Hamiltonian descriptions of arbitrary LC networks. The relation with other Hamiltonian approaches is also analyzed and interpreted |
publishDate |
2003 |
dc.date.none.fl_str_mv |
2003-10 |
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/10316/12913 http://hdl.handle.net/10316/12913 |
url |
http://hdl.handle.net/10316/12913 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
IEEE Transactions on Circuits and Systems Part I: Fundamental Theory and Applications. 50:10 (2003) 1359-1363 1057-7122 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.publisher.none.fl_str_mv |
IEEE |
publisher.none.fl_str_mv |
IEEE |
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 |
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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 |
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 |
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1799133898402168832 |