Lie Algebroids in Classical Mechanics and Optimal Control
Mathematical Physics
2008-04-24 v1 Differential Geometry
math.MP
Optimization and Control
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0703062,
title = {Lie Algebroids in Classical Mechanics and Optimal Control},
author = {Eduardo Martinez},
journal= {arXiv preprint arXiv:math-ph/0703062},
year = {2008}
}
Comments
This is a contribution to the Proc. of workshop on Geometric Aspects of Integrable Systems (July 17-19, 2006; Coimbra, Portugal), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/