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Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/4913

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)
Publication 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
Sponsorship: This work was supported in part by the Engineering and Physical Sciences Research Council (EPSRC) of the UK under Grant GR/S27658/01, an International Joint Project sponsored by the Royal Society of the UK, the National 973 Program of China under Grant 2009CB320600, the National Natural Science Foundation of China under Grant 60804028, the Specialized Research Fund for the Doctoral Program of Higher Education for New Teachers under Grant 200802861044, the Teaching and Research Fund for Excellent Young Teachers at Southeast University of China, and the Alexander von Humboldt Foundation of Germany.
URI: http://bura.brunel.ac.uk/handle/2438/4913
DOI: http://dx.doi.org/10.1088/1751-8113/42/13/135101
ISSN: 1751-8113
Appears in Collections:Information Systems and Computing
School of Information Systems, Computing and Mathematics Research Papers

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