Improved delay-derivative-dependent stability criteria for linear systems with time-varying delay

This paper is concerned with delay-derivative-dependent stability condition for linear systems with time-varying interval delay. An augmented system model is studied through comprehensive utilization of the convex system analysis and the delay-partitioning approach. A novel Lyapunov-Krasovskii functional (LKF), which admits the derivation of stability criteria that depend on both upper and lower bounds of time delay and its derivative, is proposed. The information on the boundary values of time delay and its derivative is fully utilized. Numerical examples are provided to illustrate the efficiency of the proposed method.