Delay-dependent robust stability analysis for systems with interval delays

Abstract

This paper is concerned with the stability analysis for uncertain systems with interval time-varying delays. An appropriate class of Lyapunov-Krasovskii functionals is proposed and, splitting the known bounds of the delay interval in two subintervals, a new delay-dependent criterion is derived. In addition, we resort to the use of a polytope to introduce a novel treatment of the time-varying delays. A number of different examples are given to demonstrate the reduced conservatism of this method.