Volume 27, 2021
|Number of page(s)||14|
|Published online||04 June 2021|
Outer invariance entropy for discrete-time linear systems on Lie groups
Institut für Mathematik, Universität Augsburg,
2 Departamento de Matemática, Universidade Estadual de Maringá Maringá, Brazil.
* Corresponding author: email@example.com
Accepted: 17 May 2021
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.
Mathematics Subject Classification: 93B05 / 37B40 / 94A17 / 16W20
Key words: Invariance entropy / linear systems / discrete-time control systems / Lie groups
© The authors. Published by EDP Sciences, SMAI 2021
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