Improved Results on Stability of Time-Delay Systems Using Wirtinger-Based Inequality

Abstract This paper concerns with the problem of delay-dependent stability analysis of time-delay systems. By help of Wirtinger based inequality which gives very close estimating bound of Jensen's inequality, an extended inequality is proposed. Using the new inequality and tuning parameters, a generalized criterion for stability of time-delay systems is established. Two numerical examples are given to describe the less conservatism of the proposed methods.