Abstract In this paper, the synchronization of master–slave Lur’e systems with time-delayed feedback control is further studied. To begin with, an augmented N -dependent Lyapunov–Krasovskii functional (LKF) is designed, where some augmented vectors are chosen to complement some coupling information between the nonlinear functions and other system state variables. Next, a new delay-dependent and its derivative-dependent synchronization criterion is proposed via the modified LKF application. In addition, in order to further demonstrate the advantages of the new LKF, a corollary is also given under a simplistic LKF. Finally, some common numerical examples are presented to show the effectiveness of the proposed approach.

中文翻译：

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基于时滞反馈控制的混沌 Lur'e 系统增强型主从同步准则

摘要 本文进一步研究了具有时滞反馈控制的主从Lur'e系统的同步。首先，设计了一个增强的 N 依赖的 Lyapunov-Krasovskii 泛函 (LKF)，其中选择了一些增强的向量来补充非线性函数和其他系统状态变量之间的一些耦合信息。接下来，通过修改后的 LKF 应用程序提出了一种新的延迟相关及其导数相关的同步准则。另外，为了进一步展示新LKF的优势，在一个简单化的LKF下也给出了一个推论。最后，给出了一些常见的数值例子来证明所提出方法的有效性。