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Outer synchronization of uncertain complex delayed networks with noise coupling

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Abstract

In this paper, we investigate the outer synchronization between two uncertain complex delayed networks with noise coupling. With an adaptive control scheme, sufficient conditions for the stochastic outer synchronization are developed based on the LaSalle invariance principle for stochastic differential equations. Different from existing results, our method is valid for networks with linear or nonlinear inner coupling. Finally, numerical simulations are performed to verify the effectiveness of the proposed synchronization scheme.

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Acknowledgments

We thank anonymous referees for their helpful comments and suggestions. This work was supported by the National Natural Science Foundation of China (Grant No. 61403393) and the Fundamental Research Funds for the Central Universities (Grant No. 2014QNB34).

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Authors and Affiliations

  1. School of Science, China University of Mining and Technology, Xuzhou, 221008, People’s Republic of China

    Hongjun Shi, Yongzheng Sun, Lianying Miao & Ziming Duan

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  1. Hongjun Shi
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  2. Yongzheng Sun
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Correspondence to Yongzheng Sun.

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Shi, H., Sun, Y., Miao, L. et al. Outer synchronization of uncertain complex delayed networks with noise coupling. Nonlinear Dyn 85, 2437–2448 (2016). https://doi.org/10.1007/s11071-016-2836-8

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