Exponential Synchronization of Delayed Chaotic Lur'e System with Sampled-data

We examine the problem of exponential synchronization for delayed chaotic Lur'e systems with sampled data. Based on the Lyapunov-Krasovskii stability theory, the free-weighting matrix approach, and linear matrix inequality technology, we propose a new delay-dependent exponential synchronization criterion and design a corresponding sampled-data controller. The designed controller causes the state variables of the error system to arrive at equilibrium point with a fast convergence rate. We present a numerical simulation of the delayed Chua's circuit to verify the effectiveness of this control method.