Global exponential synchronization of nonlinearly coupled complex dynamical networks with time-varying coupling delays
type: Item
instance of: scholarly article
title: Global exponential synchronization of nonlinearly coupled complex dynamical networks with time-varying coupling delays
zbMATH Open document ID: 1373.93026
DOI: 10.1155/2017/7850958
author: Yiping Luo
author: Li Shu
author: Bi-Feng Zhou
published in: Complexity
publication date: 2017-10-26T00:00:00Z
review text: Summary: This paper focuses on the global exponential synchronization problem of nonlinearly coupled complex dynamical networks with time-varying coupling delays. Several simple and generic global exponential synchronization criteria are derived based on the Lyapunov stability theory and the Dini derivatives using the Halanay and generalized Halanay inequalities. These criteria rely on system parameters alone and can be used conveniently in practical applications. In addition, the system parameters do not satisfy the conditions of the proposed criteria. That is, the system itself cannot synchronize. However, system synchronization can be achieved by adding the appropriate feedback controllers, thereby providing a practical and effective control method for complex dynamical networks. An estimation method of exponential convergence rate is also presented. Finally, the effectiveness of the proposed criteria is verified through numerical simulations.
Mathematics Subject Classification ID: 93A14
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 93A15
zbMATH DE Number: 6798531
zbMATH Keywords: global exponential synchronization problem
zbMATH Keywords: nonlinearly coupled complex dynamical networks
zbMATH Keywords: time-varying coupling delays
zbMATH Keywords: Lyapunov stability
zbMATH Keywords: Dini derivatives
zbMATH Keywords: Halanay and generalized Halanay inequalities
Wikidata QID: Q115522026
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/7850958
OpenAlex ID: W2742181622
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description: scientific article; zbMATH DE number 6798531