Title: Geometric Hamiltonian Formulation of a Variational Problem Depending on the Covariant Acceleration
Authors: Abrunheiro, Lígia 
Camarinha, Margarida 
Clemente-Gallardo, Jesús 
Issue Date: 2013
Publisher: Hindawi Publishing Corporation
Project: PEst-C/MAT/UI0324/2011 
Abstract: In this work we consider a second order variational problem depending on the covariant acceleration, which is related with the notion of Riemannian cubic polynomials. This problem and the corresponding optimal control problem are described in the context of higher order tangent bundles using geometric tools. The main tool, a presymplectic variant of the Pontryagin's maximum principle, allows us to study the dynamics of the control problem.
URI: http://hdl.handle.net/10316/44982
Other Identifiers: 10.1155/2013/243621
DOI: 10.1155/2013/243621
Rights: openAccess
Appears in Collections:I&D CMUC - Artigos e Resumos em Livros de Actas

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