Kinematic reduction and the Hamilton-Jacobi equation
A close relationship between the classical Hamilton- Jacobi theory and the kinematic reduction of control systems by decoupling vector fields is shown in this paper. The geometric interpretation of this relationship relies on new mathematical techniques for mechanics defined on a skew-symmetric alge...
| Autores: | , , , , |
|---|---|
| Formato: | artículo |
| Fecha de publicación: | 2012 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/19874 |
| Acesso em linha: | https://hdl.handle.net/2117/19874 https://dx.doi.org/10.3934/jgm.2012.4.207 |
| Access Level: | acceso abierto |
| Palavra-chave: | Hamilton-Jacobi equations Decoupling vector fields Hamilton-Jacobi equation Kinematic reduction Mechanical control systems Skew-symmetric algebroids Equacions de Hamilton-Jacobi Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
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oai:upcommons.upc.edu:2117/19874 |
| network_acronym_str |
ES |
| network_name_str |
España |
| spelling |
Kinematic reduction and the Hamilton-Jacobi equation Barbero Liñán, María De León, Manuel Martin de Diego, David Marrero, Juan Carlos Muñoz Lecanda, Miguel Carlos|||0000-0002-7037-0248 Hamilton-Jacobi equations Decoupling vector fields Hamilton-Jacobi equation Kinematic reduction Mechanical control systems Skew-symmetric algebroids Equacions de Hamilton-Jacobi Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències A close relationship between the classical Hamilton- Jacobi theory and the kinematic reduction of control systems by decoupling vector fields is shown in this paper. The geometric interpretation of this relationship relies on new mathematical techniques for mechanics defined on a skew-symmetric algebroid. This geometric structure allows us to describe in a simplified way the mechanics of nonholonomic systems with both control and external forces. Peer Reviewed American Institute of Mathematical Sciences https://hdl.handle.net/2117/19874 https://dx.doi.org/10.3934/jgm.2012.4.207 |
| title |
Kinematic reduction and the Hamilton-Jacobi equation |
| spellingShingle |
Kinematic reduction and the Hamilton-Jacobi equation Barbero Liñán, María Hamilton-Jacobi equations Decoupling vector fields Hamilton-Jacobi equation Kinematic reduction Mechanical control systems Skew-symmetric algebroids Equacions de Hamilton-Jacobi Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
| title_short |
Kinematic reduction and the Hamilton-Jacobi equation |
| title_full |
Kinematic reduction and the Hamilton-Jacobi equation |
| title_fullStr |
Kinematic reduction and the Hamilton-Jacobi equation |
| title_full_unstemmed |
Kinematic reduction and the Hamilton-Jacobi equation |
| title_sort |
Kinematic reduction and the Hamilton-Jacobi equation |
| author |
Barbero Liñán, María |
| author_facet |
Barbero Liñán, María De León, Manuel Martin de Diego, David Marrero, Juan Carlos Muñoz Lecanda, Miguel Carlos|||0000-0002-7037-0248 |
| author_role |
author |
| author2 |
De León, Manuel Martin de Diego, David Marrero, Juan Carlos Muñoz Lecanda, Miguel Carlos|||0000-0002-7037-0248 |
| author2_role |
author author author author |
| topic |
Hamilton-Jacobi equations Decoupling vector fields Hamilton-Jacobi equation Kinematic reduction Mechanical control systems Skew-symmetric algebroids Equacions de Hamilton-Jacobi Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
| topic_facet |
Hamilton-Jacobi equations Decoupling vector fields Hamilton-Jacobi equation Kinematic reduction Mechanical control systems Skew-symmetric algebroids Equacions de Hamilton-Jacobi Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
| description |
A close relationship between the classical Hamilton- Jacobi theory and the kinematic reduction of control systems by decoupling vector fields is shown in this paper. The geometric interpretation of this relationship relies on new mathematical techniques for mechanics defined on a skew-symmetric algebroid. This geometric structure allows us to describe in a simplified way the mechanics of nonholonomic systems with both control and external forces. |
| publishDate |
2012 |
| format |
article |
| url |
https://hdl.handle.net/2117/19874 https://dx.doi.org/10.3934/jgm.2012.4.207 |
| language |
eng |
| eu_rights_str_mv |
openAccess |
| publisher |
American Institute of Mathematical Sciences |
| institution |
Universitat Politècnica de Catalunya (UPC) |
| collection |
UPCommons. Portal del coneixement obert de la UPC |
| reponame_str |
UPCommons. Portal del coneixement obert de la UPC |
| instname_str |
Universitat Politècnica de Catalunya (UPC) |
| _version_ |
1878432209261559808 |
| publishDateSort |
2012 |
| author_browse |
Barbero Liñán, María De León, Manuel Marrero, Juan Carlos Martin de Diego, David Muñoz Lecanda, Miguel Carlos|||0000-0002-7037-0248 |
| publisherStr |
American Institute of Mathematical Sciences |
| score |
6,924472 |