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Erschienen in: Neural Computing and Applications 8/2011

01.11.2011 | ISNN 2010

Global synchronization of complex networks with discrete time delays and stochastic disturbances

verfasst von: Quanxin Cheng, Jinde Cao

Erschienen in: Neural Computing and Applications | Ausgabe 8/2011

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Abstract

This paper regards the global synchronization problem for a class of complex networks with both discrete time delays and stochastic disturbances. A sufficient condition that ensures the complex system to be globally synchronized is derived by referring to the Lyapunov functional method and the properties of Kronecker product. By using ‘delay-fractioning’ approach, the upper bounds of time delays of complex networks are greatly enlarged when synchronization achieves. Therefore, the result obtained in this paper is much less conservative than the existing ones. Furthermore, the proposed synchronization criterion, which is expressed in terms of linear matrix inequalities (LMIs), can be efficiently solved employing the Matlab LMI toolbox.

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Metadaten
Titel
Global synchronization of complex networks with discrete time delays and stochastic disturbances
verfasst von
Quanxin Cheng
Jinde Cao
Publikationsdatum
01.11.2011
Verlag
Springer-Verlag
Erschienen in
Neural Computing and Applications / Ausgabe 8/2011
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-010-0467-4

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