Extreme Result on the Robust Asymptotic Stability of Uncertain Systems with Time-Varying Delay

The main contribution of this paper is to present a new stability criterion of a kind of uncertain systems with time-varying delay. While the system matrices endure segment uncertainty, we show that there is an extreme criterion for the asymptotic stability of the given systems. Such result make it possible to check several vertex conditions. It is proved that, under our assumption, the interval system (1) is robustly asymptotically stable if the infinite norm of four transfer functions given by vertices of uncertain systems are smaller than 1. The abstract goes here.