Lie Algebroids in Classical Mechanics and Optimal Control

We review some recent results on the theory of Lagrangian systems on Lie algebroids. In particular we consider the symplectic and variational formalism and we study reduction. Finally we also consider optimal control systems on Lie algebroids and we show how to reduce Pontryagin maximum principle.

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Бібліографічні деталі
Опубліковано в: :Symmetry, Integrability and Geometry: Methods and Applications
Дата:2007
Автор: Martínez, E.
Формат: Стаття
Мова:Англійська
Опубліковано: Інститут математики НАН України 2007
Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/147813
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Lie Algebroids in Classical Mechanics and Optimal Control / E. Martínez // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 25 назв. — англ.

Репозитарії

Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Martínez, E.
author_facet Martínez, E.
citation_txt Lie Algebroids in Classical Mechanics and Optimal Control / E. Martínez // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 25 назв. — англ.
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container_title Symmetry, Integrability and Geometry: Methods and Applications
description We review some recent results on the theory of Lagrangian systems on Lie algebroids. In particular we consider the symplectic and variational formalism and we study reduction. Finally we also consider optimal control systems on Lie algebroids and we show how to reduce Pontryagin maximum principle.
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
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language English
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spelling Martínez, E.
2019-02-16T08:39:09Z
2019-02-16T08:39:09Z
2007
Lie Algebroids in Classical Mechanics and Optimal Control / E. Martínez // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 25 назв. — англ.
1815-0659
2000 Mathematics Subject Classification: 49S05; 70H25; 22A22; 49J15
https://nasplib.isofts.kiev.ua/handle/123456789/147813
We review some recent results on the theory of Lagrangian systems on Lie algebroids. In particular we consider the symplectic and variational formalism and we study reduction. Finally we also consider optimal control systems on Lie algebroids and we show how to reduce Pontryagin maximum principle.
This paper is a contribution to the Proceedings of the Workshop on Geometric Aspects of Integrable Systems (July 17–19, 2006, University of Coimbra, Portugal). Partial financial support from MEC-DGI (Spain) grants BFM 2003-02532 and MTM2006-10531 is acknowledged.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Lie Algebroids in Classical Mechanics and Optimal Control
Article
published earlier
spellingShingle Lie Algebroids in Classical Mechanics and Optimal Control
Martínez, E.
title Lie Algebroids in Classical Mechanics and Optimal Control
title_full Lie Algebroids in Classical Mechanics and Optimal Control
title_fullStr Lie Algebroids in Classical Mechanics and Optimal Control
title_full_unstemmed Lie Algebroids in Classical Mechanics and Optimal Control
title_short Lie Algebroids in Classical Mechanics and Optimal Control
title_sort lie algebroids in classical mechanics and optimal control
url https://nasplib.isofts.kiev.ua/handle/123456789/147813
work_keys_str_mv AT martineze liealgebroidsinclassicalmechanicsandoptimalcontrol