New result on delay-range-dependent stability analysis for linear system with interval time-varying delay

This paper focuses on the linear systems with interval time-varying delay, whose lower bound is not restricted to be zero. Through considering the relationship among the time-varying delay, its lower and upper bounds and relaxing the constraint conditions of the determined matrices in Lyapunov-Krasovskii function (LKF), the criterion with a fewer variables is obtained to ensure the positiveness of LKF and the negativeness of the derivative of LKF. Finally, numerical examples are given to illustrate the effectiveness and the merits of the proposed method.