The master-slave synchronization (MSS) issue of chaotic Lur’e systems (LSs) with time-varying delay (TVD) is explored in this work by means of feedback control. After taking the nonlinear function into full consideration, a creative Lyapunov-Krasovskii functional (LKF) is attained. Then novel criteria which ensure the synchronization of the studied systems are obtained with the aid of the improved inequality technique and the reciprocally convex combination method to cope with the derivative of LKF. The effectiveness and virtues of the synchronization conditions are testified via the notable Chua’s circuit in three different cases.

中文翻译：

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使用改进技术改进延迟诱饵系统的同步分析

在这项工作中通过反馈控制探索了具有时变延迟 (TVD) 的混沌 Lur'e 系统 (LS) 的主从同步 (MSS) 问题。充分考虑非线性函数后，得到了创造性的Lyapunov-Krasovskii泛函(LKF)。然后借助改进的不等式技术和倒凸组合方法处理LKF的导数，获得了保证所研究系统同步的新准则。同步条件的有效性和优点通过著名的蔡氏电路在三个不同的案例中得到证实。