H∞ Control for Linear Systems with Interval Time-varying Delay

This paper considers the H-infinity 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-infinity performance criterion is proposed by using the idea of delay partition and convex optimization approach. Furthermore, state feedback H-infinity controller design is presented. Finally, a numerical example is provided to demonstrate the effectiveness and feasibility of the proposed results.