Robust stability of uncertain systems with two time-varying delay components

Abstract

This paper is concerned with the problem of robust stability of linear uncertain systems with two additive time-varying delay components. By constructing new Lyapunov-Krasovskii functionals, some improved sufficient stability criteria are developed using the Finsler's Lemma and Jensen's inequality. The maximum upper bound on the delay can be obtained by solving a set of linear matrix inequalities. Numerical examples are given to show the effectiveness and less conservativeness of the proposed methods.