Improved Stability Criterion for Linear Systems with Time-Varying Delay

Abstract

This paper investigates the stability analysis problem for linear systems with time-varying delay. The state delay is assumed to be varying within a given interval. By constructing a novel Lyapunov-Krasovskii functional and developing new techniques, an improved delay-interval-dependent criterion is derived to ensue the stability of the systems. The stability condition is presented in terms of linear matrix inequalities, which can be easily solved by means of standard numerical software. A numerical example is given to illustrate the effectiveness of the proposed method.