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Adaptive exponential synchronization in pth moment for stochastic time varying multi-delayed complex networks

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Abstract

In this paper, the analysis problem of adaptive exponential synchronization in pth moment is considered for stochastic complex networks with time varying multi-delayed coupling. By using the Lyapunov–Krasovskii functional, stochastic analysis theory, several sufficient conditions to ensure the mode adaptive exponential synchronization in pth moment for stochastic delayed complex networks are derived. To illustrate the effectiveness of the synchronization conditions derived in this paper, a numerical example is finally provided.

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Acknowledgements

The authors would like to thank the referees and the editor for their valuable comments and suggestions. This research is supported by the National Natural Science Foundation of China (61075060), the Science and Technology Research Key Program for the Education Department of Hubei Province of China (D20105001, D20126002), the Research Fund for the Technology Development Program of Higher School of Tianjin (20111004), the Excellent Young Key Talents Cultivation Plan of Hubei Province and China Postdoctoral Science Foundation (2012M511663).

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Authors and Affiliations

  1. Computer School of Wuhan University, Wuhan, 430079, P.R. China

    Yuhua Xu

  2. Department of Maths, Yunyang Teachers’ College, Shiyan, Hubei, 442000, P.R. China

    Yuhua Xu

  3. Renhe Hospital, China Three Gorges University, Yichang, Hubei, 443001, P.R. China

    Hongzheng Yang

  4. College of Information Science and Technology, Donghua University, Shanghai, 201620, P.R. China

    Dongbing Tong

  5. School of Economics, South-Central University for Nationalities, Wuhan, 430074, P.R. China

    Yuling Wang

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  1. Yuhua Xu
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  2. Hongzheng Yang
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  3. Dongbing Tong
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  4. Yuling Wang
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Corresponding author

Correspondence to Yuhua Xu.

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The first author and the second author contributed equally to this work.

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Xu, Y., Yang, H., Tong, D. et al. Adaptive exponential synchronization in pth moment for stochastic time varying multi-delayed complex networks. Nonlinear Dyn 73, 1423–1431 (2013). https://doi.org/10.1007/s11071-013-0873-0

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  • DOI: https://doi.org/10.1007/s11071-013-0873-0

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