systems on lie groups
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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

scholarly journals Outer invariance entropy for discrete-time linear systems on Lie groups

2021 ◽  
Author(s):  
Fritz Colonius ◽  
João A.N. Cossich ◽  
Alexandre J. Santana
Keyword(s):  
Control Systems ◽  
Lie Groups ◽  
Discrete Time ◽  
Upper Bound ◽  
Linear Control Systems ◽  
Invariance Entropy ◽  
Admissible Pairs ◽  
Systems On Lie Groups ◽  
Time Linear ◽  
Uncontrolled System

We introduce discrete-time linear control systems on connected Lie groups and present an upper bound for the outer invariance entropy of admissible pairs (K,Q). If the stable subgroup of the uncontrolled system is closed and K has positive measure for a left invariant Haar measure, the upper bound coincides with the outer invariance entropy.

scholarly journals Equivariant Filter Design for Kinematic Systems on Lie Groups

2021 ◽  
Vol 54 (9) ◽  
pp. 253-260
Author(s):  
Robert Mahony ◽  
Jochen Trumpf
Keyword(s):  
Lie Groups ◽  
Filter Design ◽  
Systems On Lie Groups

scholarly journals Variational discretization of thermodynamical simple systems on Lie groups

2020 ◽  
Vol 13 (4) ◽  
pp. 1075-1102 ◽  
Author(s):  
Benjamin Couéraud ◽  
◽  
François Gay-Balmaz ◽  
Keyword(s):  
Lie Groups ◽  
Variational Discretization ◽  
Simple Systems ◽  
Systems On Lie Groups
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