Relating Lagrangian and Hamiltonian formalisms of LC circuits

Detalhes bibliográficos
Autor(a) principal: Clemente-Gallardo, Jesús
Data de Publicação: 2003
Outros Autores: Scherpen, Jacquelien M. A.
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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spelling 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
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