A Survey of Lagrangian Mechanics and Control on Lie algebroids and groupoids

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In this survey, we present a geometric description of Lagrangian and Hamiltonian Mechanics on Lie algebroids. The flexibility of the Lie algebroid formalism allows us to analyze systems subject to nonholonomic constraints, mechanical control systems, Discrete Mechanics and extensions to Classical Field Theory within a single framework. Various examples along the discussion illustrate the soundness of the approach.
41 pages, Survey

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Mathematical Physics, 17B66; 22A22; 70F25; 70G45; 70G65; 70H03; 70H05

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http://salesiana.dossiersoluciones.com/handle/123456789/104671

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0511009
 http://arxiv.org/abs/math-ph/0511009

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arXiv