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

Xiaoyu Zhang; Chuandong Li; Zhilong He

doi:10.1016/j.neunet.2021.04.026

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

Neural Netw. 2021 Oct:142:34-43. doi: 10.1016/j.neunet.2021.04.026. Epub 2021 Apr 28.

Authors

Xiaoyu Zhang¹, Chuandong Li², Zhilong He¹

Affiliations

¹ Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information Engineering, Southwest University, Chongqing, 400715, PR China.
² Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information Engineering, Southwest University, Chongqing, 400715, PR China. Electronic address: cdli@swu.edu.cn.

PMID: 33965886
DOI: 10.1016/j.neunet.2021.04.026

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.

Keywords: Cluster synchronization; Delayed impulsive control; Distributed impulsive control; Time-varying delay.

MeSH terms

Neural Networks, Computer*
Time Factors