Issue |
ESAIM: COCV
Volume 27, 2021
|
|
---|---|---|
Article Number | 55 | |
Number of page(s) | 14 | |
DOI | https://doi.org/10.1051/cocv/2021054 | |
Published online | 04 June 2021 |
Outer invariance entropy for discrete-time linear systems on Lie groups
1
Institut für Mathematik, Universität Augsburg,
Augsburg, Germany.
2
Departamento de Matemática, Universidade Estadual de Maringá
Maringá, Brazil.
* Corresponding author: fritz.colonius@math.uni-augsburg.de
Received:
21
August
2020
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
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.