Entropy for practical stabilization
Fritz Colonius, Boumediene Hamzi
TL;DR
This paper introduces new entropy measures for practical stabilization of nonlinear control systems, providing bounds and analyzing their relation to feedback, with detailed examples including linear and nonlinear cases.
Contribution
It defines epsilon-practical stabilization entropy and practical stabilization entropy, establishing bounds and exploring their connection to feedback mechanisms in control systems.
Findings
Bounds for stabilization entropies are derived.
Special focus on exponential KL-functions.
Analysis includes linear and nonlinear examples.
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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