Improved synchronization of chaotic Lur׳e systems with time delay using sampled-data control

The asymptotical synchronization problem of two identical chaotic Lur׳e systems with time delay using sampled-data control is concerned in this paper. Firstly, an improved Lyapunov-Krasovskii functional is constructed, which includes useful information of the nonlinear parts of systems and introduces a triple integral term. Then, by applying the free-matrix-based integral inequality and the free-weighting matrix approach, less conservative synchronization conditions are obtained in the form of linear matrix inequalities. Under the synchronization conditions, the synchronization error of two identical chaotic Lur׳e systems is asymptotically stable. Finally, two numerical examples are given to illustrate the effectiveness and advantages of the proposed methods.