Robust Stability and Stabilization of Uncertain Systems with Time-varying Delays via Delay-partition

This paper addresses robust stability and stabilization problems of uncertain linear systems with time-varying delays. By constructing a new Lyapunov-Krasovskii functional (LKF) called delay-mode-based Lyapunov-Krasovskii functional, some novel robust delay-dependent stability and stabilization criteria are developed. Due to the fact that the considered time delay system has different characteristics in different delay subintervals, this method may lead to less conservative results by constructing LKF in each delay subinterval. A numerical example is given to show the effectiveness.