scholarly journals Symmetry Reduction in Optimal Control of Multiagent Systems on Lie Groups

2020 ◽  
Vol 65 (11) ◽  
pp. 4973-4980
Author(s):  
Leonardo Jesus Colombo ◽  
Dimos V. Dimarogonas
Keyword(s):  
Optimal Control ◽  
Lie Groups ◽  
Multiagent Systems ◽  
Symmetry Reduction ◽  
Systems On Lie Groups

Time optimal control for linear systems on Lie groups

2021 ◽  
Vol 153 ◽  
pp. 104956
Author(s):  
Victor Ayala ◽  
Philippe Jouan ◽  
Maria Luisa Torreblanca ◽  
Guilherme Zsigmond
Keyword(s):  
Optimal Control ◽  
Linear Systems ◽  
Lie Groups ◽  
Time Optimal Control ◽  
Time Optimal ◽  
Systems On Lie Groups

State estimation for invariant systems on Lie groups with delayed output measurements

Automatica ◽  
2016 ◽  
Vol 68 ◽  
pp. 254-265 ◽  
Author(s):  
Alireza Khosravian ◽  
Jochen Trumpf ◽  
Robert Mahony ◽  
Tarek Hamel
Keyword(s):  
State Estimation ◽  
Lie Groups ◽  
Systems On Lie Groups

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.

Cost-Extended Control Systems on Lie Groups

2013 ◽  
Vol 11 (1) ◽  
pp. 193-215 ◽  
Author(s):  
R. Biggs ◽  
C. C. Remsing
Keyword(s):  
Control Systems ◽  
Lie Groups ◽  
Systems On Lie Groups
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