scholarly journals Discrete Time Lagrangian Mechanics on Lie Groups,¶with an Application to the Lagrange Top

1999 ◽  
Vol 204 (1) ◽  
pp. 147-188 ◽  
Author(s):  
A. I. Bobenko ◽  
Yu. B. Suris
Keyword(s):  
Lie Groups ◽  
Discrete Time ◽  
Lagrangian Mechanics ◽  
Lagrange Top

scholarly journals A discrete-time Pontryagin maximum principle on matrix Lie groups

Automatica ◽  
2018 ◽  
Vol 97 ◽  
pp. 376-391 ◽  
Author(s):  
Karmvir Singh Phogat ◽  
Debasish Chatterjee ◽  
Ravi N. Banavar
Keyword(s):  
Maximum Principle ◽  
Lie Groups ◽  
Discrete Time ◽  
Pontryagin Maximum Principle

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 Symmetry reduction of discrete Lagrangian mechanics on Lie groups

2000 ◽  
Vol 36 (1-2) ◽  
pp. 140-151 ◽  
Author(s):  
Jerrold E. Marsden ◽  
Sergey Pekarsky ◽  
Steve Shkoller
Keyword(s):  
Lie Groups ◽  
Symmetry Reduction ◽  
Lagrangian Mechanics
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