Enhancement of the quality and robustness in synchronization of nonlinear Lur'e dynamical networks
type: Item
instance of: scholarly article
title: Enhancement of the quality and robustness in synchronization of nonlinear Lur'e dynamical networks
zbMATH Open document ID: 1264.93200
DOI: 10.1155/2012/236782
author: Shiyun Xu
author: Yong Tang
author: Huadong Sun
author: Ziguan Zhou
author: Ying Yang
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: In order to improve the synchronous reliability and dependability of complex dynamical networks, methods need to be proposed to enhance the quality and robustness of the synchronization scheme. The present study focuses on the robust fault detection issue within the synchronization for a class of nonlinear dynamical networks composed by identical Lur'e systems. Sufficient conditions in terms of linear matrix inequalities (LMIs) are established to guarantee global robust \(\mathcal H_-/\mathcal H_\infty\) synchronization of the network. Under such a synchronization scheme, the error dynamical system is globally asymptotically stable, the effect of external disturbances is suppressed, and at the same time, the network is sensitive to possible faults based on a mixed \(\mathcal H_-/\mathcal H_\infty\) performance. The fault sensitivity \(\mathcal H_-\) index, moreover, can be optimized via a convex optimization algorithm. The effectiveness and applicability of the analytical results are demonstrated through a network example composed by the Chua's circuit, and it shows that the quality and robustness of synchronization has been greatly enhanced.
Mathematics Subject Classification ID: 93D09
Mathematics Subject Classification ID: 34D06
Mathematics Subject Classification ID: 93B36
zbMATH DE Number: 6173111
Wikidata QID: Q58911315
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/236782
OpenAlex ID: W1974724462
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description: scientific article; zbMATH DE number 6173111