Adaptive cluster synchronization for nondelayed and delayed coupling complex networks with nonidentical nodes
type: Item
instance of: scholarly article
title: Adaptive cluster synchronization for nondelayed and delayed coupling complex networks with nonidentical nodes
zbMATH Open document ID: 1402.93159
DOI: 10.1155/2013/946243
author: Ze Tang
author: Jianwen Feng
published in: Abstract and Applied Analysis
publication date: 2013-05-08T00:00:00Z
review text: Summary: We focus on the cluster synchronization problem for a kind of general networks with nondelayed and delayed coupling. Based on the pinning control scheme, a small fraction of the nodes in each cluster are pinned for successful control, and the states of the whole dynamical networks can be globally forced to the objective cluster states. Sufficient conditions are derived to guarantee the realization of the cluster synchronization pattern for all initial values by means of the Lyapunov stability theorem and linear matrix inequalities (LMIs). By using the adaptive update law, relative smaller control gains are obtained, and hence the control cost can be substantially lower. Numerical simulations are also exploited to demonstrate the effectiveness and validity of the main result.
Mathematics Subject Classification ID: 93C40
Mathematics Subject Classification ID: 93A15
Mathematics Subject Classification ID: 90B10
Mathematics Subject Classification ID: 93D05
zbMATH DE Number: 6161394
zbMATH Keywords: adaptive cluster synchronization
zbMATH Keywords: complex networks
zbMATH Keywords: nondelayed and delayed coupling
zbMATH Keywords: Lyapunov stability theorem
Wikidata QID: Q58917783
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/946243
OpenAlex ID: W2086349192
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description: scientific article; zbMATH DE number 6161394