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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Datum:2007
1. Verfasser: Martínez, E.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2007
Schriftenreihe:Symmetry, Integrability and Geometry: Methods and Applications
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/147813
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren: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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