Generalized mutual synchronization between two controlled interdependent networks
type: Item
instance of: scholarly article
title: Generalized mutual synchronization between two controlled interdependent networks
zbMATH Open document ID: 1406.93055
DOI: 10.1155/2014/453149
author: Quan Xu
author: Shengxian Zhuang
author: Dan Hu
author: Yingfeng Zeng
author: Jian Xiao
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: This paper mainly focuses on the generalized mutual synchronization between two controlled interdependent networks. First, we propose the general model of controlled interdependent networks \(A\) and \(B\) with time-varying internetwork delays coupling. Then, by constructing Lyapunov functions and utilizing adaptive control technique, some sufficient conditions are established to ensure that the mutual synchronization errors between the state variables of networks \(A\) and \(B\) can asymptotically converge to zero. Finally, two numerical examples are given to illustrate the effectiveness of the theoretical results and to explore potential application in future smart grid. The simulation results also show how interdependent topologies and internetwork coupling delays influence the mutual synchronizability, which help to design interdependent networks with optimal mutual synchronizability.
Mathematics Subject Classification ID: 93A15
Mathematics Subject Classification ID: 93C40
Mathematics Subject Classification ID: 90B10
zbMATH DE Number: 7022404
zbMATH Keywords: mutual synchronization
zbMATH Keywords: controlled interdependent networks
zbMATH Keywords: adaptive control
MaRDI profile type: Publication
Wikidata QID: Q59038314
full work available at URL: https://doi.org/10.1155/2014/453149
OpenAlex ID: W2168737417
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description: scientific article; zbMATH DE number 7022404