Some new results on the global uniform asymptotic stability of time-varying dynamical systems

摘要

This article presents some general results on the global uniform asymptotic stability (GUAS) of time-varying nonlinear perturbed systems without the boundedness hypothesis with respect to time. The main contribution is the development of a new Lyapunov function to obtain a GUAS of some perturbed systems. Therefore, we generalized some works which are already made in the literature. Furthermore, some illustrative examples are presented.