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Symmetry, Integrability and Geometry: Methods and Applications, 2007, Volume 3, 050, 17 pp.
DOI: https://doi.org/10.3842/SIGMA.2007.050 (Mi sigma176) 		 
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
Full-text PDF (288 kB) Citations (19)
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DOI: https://doi.org/10.3842/SIGMA.2007.050
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
Bibliographic databases:
Document Type: Article
MSC: 49S05; 70H25; 22A22; 49J15
Language: English
Citation: Eduardo Martínez, “Lie Algebroids in Classical Mechanics and Optimal Control”, SIGMA, 3 (2007), 050, 17 pp.
Citation in format AMSBIB
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\paper Lie Algebroids in Classical Mechanics and Optimal Control
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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