Lie Algebroids in Classical Mechanics and Optimal Control

Details Lie Algebroids in Classical Mechanics and Optimal Control Lie Algebroids in Classical Mechanics and Optimal Control

2007-03-20

arxiv.org/abs/math-ph/0703062v1

SIGMA 3 (2007), 050, 17 pages

Physics

Mathematical Physics

This is a contribution to the Proc. of workshop on Geometric Aspects of Integrable Systems (July 17-19, 2006; Coimbra, Portuga

Scientific paper

10.3842/SIGMA.2007.050

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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