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New result for synchronization of chaotic Lur'e systems with time delay using sampled-data control

This paper investigates synchronization problem of two identical chaotic Lur'e systems with time delay using sampleddata control. Firstly, a novel piecewise Lyapunov-Krasovskii function (LKF), which considers fully useful information of the systems and their cross terms, is introduced. Secondly, a new synchronization criterion is developed in terms of linear matrix inequalities (LMIs) by discarding the positive definite constraint of the piecewise LKF. Then, maximal sampling interval and corresponding controller are obtained. At last, case study based on a typical Chua's circuit is carried out to verify the effectiveness and advantages of the proposed method.