Generalized integral inequality: Application to time-delay systems

This paper investigates a stability problem for linear systems with time-delay. By constructing simple Lyapunov-Krasovskii functional (LKF), and utilizing a new generalized integral inequality (GII) proposed in this paper, a sufficient stability condition for the systems will be derived in terms of linear matrix inequalities (LMIs). Two illustrative examples are given to show the superiorities of the proposed criterion.