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arXiv · 2009.08187

Entropy for practical stabilization

Fritz Colonius·Boumediene Hamzi
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Abstract

For deterministic continuous time nonlinear control systems, epsilon-practical stabilization entropy and practical stabilization entropy are introduced. Here the rate of attraction is specified by a KL-function. Upper and lower bounds for the diverse entropies are proved, with special attention to exponential KL-functions. The relation to feedbacks is discussed, the linear case and several nonlinear examples are analyzed in detail.

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Fritz Colonius, Boumediene Hamzi. 2020-09-17. Entropy for practical stabilization. https://arxiv.org/abs/2009.08187

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