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

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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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Acknowledgments

This work was supported by National Natural Science Foundation of China under Grant 60874088 and the Natural Science Foundation of Jiangsu Province of China under Grant BK2009271.

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Authors and Affiliations

  1. Department of Mathematics, Southeast University, 210096, Nanjing, China

    Quanxin Cheng & Jinde Cao

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  1. Quanxin Cheng
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  2. Jinde Cao
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Correspondence to Quanxin Cheng.

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Cheng, Q., Cao, J. Global synchronization of complex networks with discrete time delays and stochastic disturbances. Neural Comput & Applic 20, 1167–1179 (2011). https://doi.org/10.1007/s00521-010-0467-4

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  • DOI: https://doi.org/10.1007/s00521-010-0467-4

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