Separation principle of time-varying systems including multiple delayed perturbations

Abstract

In this paper, we investigate the global practical uniform stability analysis problem of a class of time-varying multiple delayed perturbed systems where the associated nominal system is linear and the multiple delayed perturbation term satisfies some conditions. Furthermore, based on Lyapunov-Krasovskii functionals, we study the possibility to stabilize globally and uniformly in practical sense by an estimated state controller. Finally an illustrative example is given to demonstrate the applicability of main result.