A Less Conservative Criterion for Synchronization of Chaotic Lur’e System with Time-varying Delayed Feedback PD Control

In this paper, the synchronization of time-varying delay Lur’e systems is investigated and a new Lyapunov-Krasovskii functional (LKF) based on the bound of time delay is constructed by considering the feature information of the time delay. Additionally, a modified free-matrix-based integral inequality (MFMBII) is applied to handle the derivatives from LKF in combination with more time-varying delayed data. By using the MFMBII, synchronization criterion with lower conservativeness is established. Finally, a Chua’s circuit is presented as numerical example to demonstrate the effectiveness and benefits of the proposed criterion.