Entropy for practical stabilization

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.

The paper has been thoroughly revised