Optimal control of drift-free invariant control systems on the group of motions of the minkowski plane

2014 ◽  
Author(s):  
Dennis I. Barrett ◽  
Rory Biggs ◽  
Claudiu C. Remsing
Keyword(s):  
Optimal Control ◽  
Control Systems ◽  
Minkowski Plane ◽  
Group Of Motions ◽  
Invariant Control

scholarly journals A New Structure to Design Optimal Control Systems

1994 ◽  
Vol 27 (11) ◽  
pp. 101-104 ◽  
Author(s):  
L. Keviczky ◽  
C.S. Bányász
Keyword(s):  
Optimal Control ◽  
Control Systems

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

2014 ◽  
Vol 11 (09) ◽  
pp. 1450038 ◽  
Author(s):  
Lígia Abrunheiro ◽  
Margarida Camarinha
Keyword(s):  
Optimal Control ◽  
Vector Field ◽  
Control Systems ◽  
Lie Groups ◽  
Optimal Control Problems ◽  
Affine Connection ◽  
Point Of View ◽  
Lie Algebroids ◽  
Control Problems ◽  
Hamiltonian Vector Field

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.

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