H∞ control for linear systems with interval time-varying delay

This paper considers the H
∞
control for a class of interval time-varying delay systems. Based on Lyapunov stability theory and linear matrix inequality (LMI) technique, a delay-dependent stability condition with less conservatism and H
∞
performance criterion is proposed by using the idea of delay partition and convex optimization approach. Furthermore, state feedback H
∞
controller design is presented. Finally, a numerical example is provided to demonstrate the effectiveness and feasibility of the proposed results.