Cluster synchronization of delayed coupled neural networks: Delay-dependent distributed impulsive control.

Journal: Neural networks : the official journal of the International Neural Network Society
Published Date: Apr 28, 2021

Abstract

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.

Authors

  • Xiaoyu Zhang
    First Department of Infectious Diseases, The First Affiliated Hospital of China Medical University, Shenyang, China.
  • Chuandong Li
    College of Electronic and Information Engineering, Southwest University, Chongqing 400044, PR China. Electronic address: [email protected].
  • Zhilong He
    Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information Engineering, Southwest University, Chongqing, 400715, PR China.

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