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https://hdl.handle.net/10316/44982
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 | Serial title, monograph or event: | Conference Papers in Mathematics | Volume: | 2013 | 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: | https://hdl.handle.net/10316/44982 | DOI: | 10.1155/2013/243621 | Rights: | openAccess |
Appears in Collections: | I&D CMUC - Artigos e Resumos em Livros de Actas |
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File | Description | Size | Format | |
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2013aAbrunheiroCamarinhaClementeGallardo.pdf | 2.01 MB | Adobe PDF | View/Open |
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