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arXiv · 1705.08658

Invariance entropy, quasi-stationary measures and control sets

Fritz Colonius
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Abstract

For control systems in discrete time, this paper discusses measure-theoretic invariance entropy for a subset Q of the state space with respect to a quasi-stationary measure obtained by endowing the control range with a probability measure. The main results show that this entropy is invariant under measurable transformations and that it is already determined by certain subsets of Q which are characterized by controllability properties.

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Fritz Colonius. 2017-05-24. Invariance entropy, quasi-stationary measures and control sets. https://arxiv.org/abs/1705.08658

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