scholarly journals Metric invariance entropy and conditionally invariant measures

2016 ◽  
Vol 38 (3) ◽  
pp. 921-939 ◽  
Author(s):  
FRITZ COLONIUS
Keyword(s):  
Control Systems ◽  
Discrete Time ◽  
Invariant Measures ◽  
Invariance Entropy ◽  
Metric Invariance

Two notions of metric invariance entropy are constructed with respect to conditionally invariant measures for control systems in discrete time and it is shown that they are invariant under conjugacies.

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.

Relay Control Systems with Discrete Time Equalizer

2020 ◽  
Author(s):  
Oleksii Sheremet ◽  
Oleksandr Sadovoi ◽  
Kateryna Sheremet ◽  
Yuliia Sokhina
Keyword(s):  
Control Systems ◽  
Discrete Time ◽  
Relay Control
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