Lie Algebroids in Classical Mechanics and Optimal Control

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dc.creatorMartinez, Eduardo
dc.date2007-03-20
dc.date.accessioned2026-07-07T09:34:28Z
dc.date.available2026-07-07T09:34:28Z
dc.descriptionWe 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.
dc.descriptionThis 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/
dc.identifierhttps://arxiv.org/abs/math-ph/0703062
dc.identifierhttp://arxiv.org/abs/math-ph/0703062
dc.identifierSIGMA 3 (2007), 050, 17 pages
dc.identifierdoi:10.3842/SIGMA.2007.050
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159506
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.subjectOptimization and Control
dc.titleLie Algebroids in Classical Mechanics and Optimal Control
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