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arXiv · 2008.03219

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

Fritz Colonius·João A. N. Cossich·Alexandre J. Santana
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Abstract

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.

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Fritz Colonius, João A. N. Cossich, Alexandre J. Santana. 2020-08-07. Outer invariance entropy for discrete-time linear systems on Lie groups. https://arxiv.org/abs/2008.03219

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