A Converse Theorem on Practical h-Stability of Nonlinear Systems

摘要

In this paper, we investigate the practical h-stability problems of some classes of nonlinear systems as an extension of practical exponential stability. We derive some sufficient conditions that guarantee practical h-stability of perturbed systems using Lyapunov's theory where a new converse theorem is presented. Finally, numerical examples are introduced to illustrate the applicability of the main results.