Cluster synchronization of delayed coupled neural networks: Delay-dependent distributed impulsive control. (October 2021)

• Record Type: Journal Article
• Authors: Zhang, Xiaoyu; Li, Chuandong; He, Zhilong
• Is Part Of: Neural networks. Volume 142(2021)
• Page Start: 34
• Page End: 43
• Publication Date: 2021-10
• Subjects: Cluster synchronization -- Time-varying delay -- Distributed impulsive control -- Delayed impulsive control; Neural computers -- Periodicals; Neural networks (Computer science) -- Periodicals; Neural networks (Neurobiology) -- Periodicals; Nervous System -- Periodicals; Ordinateurs neuronaux -- Périodiques; Réseaux neuronaux (Informatique) -- Périodiques; Réseaux neuronaux (Neurobiologie) -- Périodiques; Neural computers; Neural networks (Computer science); Neural networks (Neurobiology); Periodicals; 006.32
• DOI: 10.1016/j.neunet.2021.04.026
• Languages: English
• ISSNs: 0893-6080

Abstract

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.