Geometric Hamiltonian Formulation of a Variational Problem Depending on the Covariant Acceleration
Keyword(s):
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.
2017 ◽
Vol 17
(03)
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pp. 1750039
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2014 ◽
Vol 29
(1)
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pp. 67-85
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2019 ◽
Vol 25
(1)
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pp. 1
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1974 ◽
Vol 13
(1)
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pp. 32-55
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Keyword(s):
Keyword(s):