Asymptotical synchronization of chaotic Lur´e systems equipped with sampling controller

The global asymptotical master-slave synchronization problem of the identical chaotic Lur´e systems equipped with a sampling controller is studied. The discussed system is transformed into a system with a spacial time-varying delay at first. Then a novel Lyapunov-Krasovskii functional (LKF) is developed to obtain a less conservative synchronization criterion and thus the gains of the controller can be obtained based on the linear matrix inequality (LMI) technique. Finally, case studies based on a typical Chua´s circuit are carried out to verify the effectiveness and benefit of the proposed method.