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Lie Algebroids in Classical Mechanics and Optimal Control
Symmetry, integrability and geometry: methods and applications, Tome 3 (2007) Cet article a éte moissonné depuis la source Math-Net.Ru

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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: Lagrangian mechanics; Lie algebroids; variational calculus; reduction of dynamical systems; optimal control systems. 
@article{SIGMA_2007_3_a49,
     author = {Eduardo Mart{\'\i}nez},
     title = {Lie {Algebroids} in {Classical} {Mechanics} and {Optimal} {Control}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2007},
     volume = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2007_3_a49/}
}
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Eduardo Martínez. Lie Algebroids in Classical Mechanics and Optimal Control. Symmetry, integrability and geometry: methods and applications, Tome 3 (2007). http://geodesic.mathdoc.fr/item/SIGMA_2007_3_a49/

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