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Title: Global synchronization for delayed complex networks with randomly occurring nonlinearities and multiple stochastic disturbances
Authors: Wang, Y
Wang, Z
Liang, J
Keywords: Global synchronization;Stochastic complex networks;Stochastic nonlinearity;Linear matrix inequality (LMI)
Issue Date: 2009
Publisher: IOP Publishing
Citation: Journal of Physics A: Mathematical and Theoretical, 42(13): Art No. 135101, Apr 2009
Abstract: This paper is concerned with the synchronization problem for a new class of continuous time delayed complex networks with stochastic nonlinearities (randomly occurring nonlinearities), interval time-varying delays, unbounded distributed delays as well as multiple stochastic disturbances. The stochastic nonlinearities and multiple stochastic disturbances are investigated here in order to reflect more realistic dynamical behaviors of the complex networks that are affected by the noisy environment. By utilizing a new matrix functional with the idea of partitioning the lower bound h1 of the time-varying delay, we employ the stochastic analysis techniques and the properties of the Kronecker product to establish delay-dependent synchronization criteria that ensure the globally asymptotically mean-square synchronization of the addressed stochastic delayed complex networks. The sufficient conditions obtained are in the form of linear matrix inequalities (LMIs) whose solutions can be readily solved by using the standard numerical software. A numerical example is exploited to show the applicability of the proposed results.
Description: This is the post print version of the article. The official published version can be obained from the link - Copyright 2009 IOP Publishing Ltd
ISSN: 1751-8113
Appears in Collections:Computer Science
Dept of Computer Science Research Papers

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