Optimal control of affine connection control systems from the point of view of Lie algebroids

Published 13 Jun 2014 in math.OC, math-ph, math.DG, math.MP, and math.SG | (1406.3403v1)

Abstract: The purpose of this paper is to use the framework of Lie algebroids to study optimal control problems for affine connection control systems on Lie groups. In this context, the equations for critical trajectories of the problem are geometrically characterized as a Hamiltonian vector field.

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