|
This article is cited in 19 scientific papers (total in 19 papers)
Lie Algebroids in Classical Mechanics and Optimal Control
Eduardo Martínez Departamento de Matemática Aplicada, Universidad de Zaragoza, 50009 Zaragoza, Spain
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:
Lagrangian mechanics; Lie algebroids; variational calculus; reduction of dynamical systems; optimal control systems.
Received: November 7, 2006; in final form March 7, 2007; Published online March 20, 2007
Citation:
Eduardo Martínez, “Lie Algebroids in Classical Mechanics and Optimal Control”, SIGMA, 3 (2007), 050, 17 pp.
Linking options:
https://www.mathnet.ru/eng/sigma176 https://www.mathnet.ru/eng/sigma/v3/p50
|
Statistics & downloads: |
Abstract page: | 238 | Full-text PDF : | 51 | References: | 30 |
|