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Title: Geometric Hamiltonian formulation of a variational problem depending on the covariant acceleration
Author: Abrunheiro, Lígia
Camarinha, Margarida
Clemente-Gallardo, Jesús
Keywords: Higher Order Tangent Bundles
Optimal Control Problems
Riemannian manifolds
Issue Date: 2013
Publisher: Hindawi Publishing Corporation
Abstract: We consider a second-order variational problem depending on the covariant acceleration, which is related to 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 Pontryagin’s maximum principle, allows us to study the dynamics of the control problem.
Peer review: yes
DOI: 10.1155/2013/243621
ISSN: 2356-6108
Appears in Collections:CIDMA - Artigos

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