时滞耦合神经网络的簇同步：时滞相关分布式脉冲控制。
Cluster synchronization of delayed coupled neural networks: Delay-dependent distributed impulsive control.
机构信息
Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information Engineering, Southwest University, Chongqing, 400715, PR China.
Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information Engineering, Southwest University, Chongqing, 400715, PR China.
出版信息
Neural Netw. 2021 Oct;142:34-43. doi: 10.1016/j.neunet.2021.04.026. Epub 2021 Apr 28.
This paper investigates the issue of cluster synchronization (CS) for the coupled neural networks (CNNs) with time-varying delays via the delay-dependent distributed impulsive control. A new Halanay-like inequality, where delayed impulses are taken into consideration, is proposed. Based on the Lyapunov theory and the new differential inequality, sufficient conditions of CS for delayed CNNs with fixed and switching coupling topology are obtained, respectively. Moreover, delay-dependent distributed impulsive controllers with fixed or switching topology are designed thereby. Finally, we present a numerical example of CNNs with fixed or switching coupling to verify the effectiveness of our results, respectively.
本文研究了时变延迟的耦合神经网络（CNNs）的簇同步（CS）问题，采用了时滞相关的分布式脉冲控制。提出了一个新的包含延迟脉冲的类似于 Halanay 的不等式。基于 Lyapunov 理论和新的微分不等式，分别得到了时滞 CNNs 具有固定和切换耦合拓扑结构的 CS 充分条件。此外，设计了具有固定或切换拓扑结构的时滞相关分布式脉冲控制器。最后，通过具有固定或切换耦合的 CNNs 的数值示例，分别验证了所得结果的有效性。
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