Pinning impulsive synchronization of complex dynamical networks with various time-varying delay sizes
type: Item
instance of: scholarly article
title: Pinning impulsive synchronization of complex dynamical networks with various time-varying delay sizes
zbMATH Open document ID: 1379.34049
author: Xin Wang
author: Xinzhi Liu
author: Kun She
author: Shouming Zhong
published in: Nonlinear Analysis. Hybrid Systems
publication date: 2017-11-16T00:00:00Z
review text: The authors start with a network of identical nodes, each described by a delay differential equation with time-dependent delay. The nodes are diffusively coupled to some of their neighbours through their current state, and to others through their delayed state. Two of these networks are then considered, and impulsive controls are added at specific times to specific nodes in the response network. These controls depend on the difference in states of the corresponding nodes in the two networks and the objective is to synchronise the drive and response networks. The authors consider a Lyapunov functional and derive conditions under which the two networks will synchronise. They demonstrate their results using two examples.
Mathematics Subject Classification ID: 34D06
Mathematics Subject Classification ID: 34K45
Mathematics Subject Classification ID: 34K25
zbMATH DE Number: 6807809
zbMATH Keywords: synchronization
zbMATH Keywords: complex networks
zbMATH Keywords: pinning impulsive control
zbMATH Keywords: time-varying delay
reviewed by: Carlo Laing
MaRDI profile type: Publication
full work available at URL: j.nahs.2017.06.005
OpenAlex ID: W2739227376
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DOI: 10.1016/J.NAHS.2017.06.005
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description: scientific article; zbMATH DE number 6807809