Optimal control of affine connection control systems from the point of view of Lie algebroids-Reference-Cited by-同舟云学术

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

Published:2014-10 Issue:09 Volume:11 Page:1450038
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Abrunheiro Lígia¹,Camarinha Margarida²

Affiliation:

1. CIDMA — Center for Research and Development in Mathematics and Applications and Higher Institute of Accounting and Administration, University of Aveiro, 3810-500 Aveiro, Portugal

2. CMUC — Center for Mathematics of the University of Coimbra, Department of Mathematics, University of Coimbra, 3001-501 Coimbra, Portugal

Abstract

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

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887814500388

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