Nonfragile robust \(H_{\infty}\) synchronization approach for drive-response complex dynamical networks with randomly occurring controller gain fluctuations and uncertainties
type: Item
instance of: scholarly article
title: Nonfragile robust \(H_{\infty}\) synchronization approach for drive-response complex dynamical networks with randomly occurring controller gain fluctuations and uncertainties
zbMATH Open document ID: 1394.34161
DOI: 10.1155/2015/495858
author: Dabin Li
author: Zicai Wang
author: Guangfu Ma
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: This paper investigates the nonfragile \(H_{\infty}\) synchronization problem of complex dynamical networks with randomly occurring controller gain fluctuations and uncertainties. These randomly occurring phenomena are described by independent stochastic variables satisfying Bernoulli distributions, which are adopted to model more realistic dynamical behaviors of the complex networks. By applying the Lyapunov-Krasovskii method, delay-dependent criteria are established to ensure that the synchronization can be achieved with the prescribed \(H_{\infty}\) disturbance attenuation. Moreover, the obtained results do not rely on the derivatives of time-varying delays. A set of nonfragile controllers are further designed in terms of linear matrix inequality (LMI) approach. Finally, a numerical example is given to illustrate the effectiveness of our theoretical results.
Mathematics Subject Classification ID: 34K35
Mathematics Subject Classification ID: 34D06
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 93B36
zbMATH DE Number: 6926497
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/495858
OpenAlex ID: W2177602087
Wikidata QID: Q59118762
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description: scientific article; zbMATH DE number 6926497