Novel Synchronization Criteria of Chaotic Lur'e Systems With Time-varying Delayed Feedback PD Control

摘要

This paper is concerned with the problem of asymptotical synchronization of chaotic Lur'e systems controlled via PD controller with time-varying delay. Firstly, a new Lyapunov-Krasovskii functional (LKF) with more information of time-varying delay is constructed. Then, by applying the Wirtinger-based integral inequality and the extended reciprocally convex combination lemma (RCCL), a new synchronization criterion for time-varying delay is obtained, and a less conservatism corollary for the constant delay is established by weakening some terms of LKF. Finally, a numerical example is given to show the better performance of the proposed criteria.