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Abstract
The synchronization problem is considered for a class of stochastic complex networks with interval time-varying delays. Based on the Lyapunov functional method and stochastic analysis theory, delay-dependent sufficient conditions are obtained, which ensure that the identical delayed networks are globally synchronized in the mean square sense. Furthermore, the ‘piecewise delay’ approach is improved to deal with the synchronization problem of systems with stochastic disturbances by introducing two new lemmas. The efficiency and applicability of the proposed methodology are demonstrated by two numerical examples.
Acknowledgements
The authors would like to thank the editor and the anonymous referees for their detailed comments and valuable suggestions which considerably improved the presentation of the article. This work was supported by the National Nature Science Foundation of China (Grant nos. 60904061, 60904013 and 60850005), by the National Science Foundation for Distinguished Young Scholars of P.R. China (Grant no. 60625303) and by the Natural Science Foundation of Jiangsu Province (Grant no. BK2008047).