Entropy for practical stabilization
Optimization and Control
2022-12-13 v3 Dynamical Systems
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.
Cite
@article{arxiv.2009.08187,
title = {Entropy for practical stabilization},
author = {Fritz Colonius and Boumediene Hamzi},
journal= {arXiv preprint arXiv:2009.08187},
year = {2022}
}
Comments
The paper has been thoroughly revised