Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/15636
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 |
URI: | http://hdl.handle.net/10773/15636 |
DOI: | 10.1155/2013/243621 |
ISSN: | 2356-6108 |
Appears in Collections: | CIDMA - Artigos |
Files in This Item:
File | Description | Size | Format | |
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243621.pdf | 2.01 MB | Adobe PDF | View/Open |
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