On estimating the exponential decay rate for linear systems with interval time-varying delay

This paper presents a delay-dependent approach to studying the exponential stability of linear systems with interval time-varying delay. It is assumed that the upper and lower bounds of the time delay are known. Delay-dependent stability conditions are derived based on an integral inequality, and the exponential decay rate can be obtained by means of the feasibility of a linear matrix inequality. By fully considering the information of the delayed states and introducing slack variables, the conservatism in some existing results is further reduced. Two numerical examples are finally provided to demonstrate the effectiveness of the proposed approach.