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Stochastic synchronization of complex network via a novel adaptive nonlinear controller

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Abstract

In this paper, a novel adaptive nonlinear controller is designed to achieve stochastic synchronization of complex networks. We find that this novel adaptive nonlinear controller is less conservative and may be more widely used than the traditional adaptive linear controller. By using the properties of Weiner process, the stochastic synchronization of complex networks with stochastic perturbation via the proposed novel adaptive nonlinear controller can be achieved. Experimental tests demonstrate the superior performance of this novel adaptive nonlinear controller as compared to a conventional adaptive linear controller.

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Acknowledgements

The authors would like to thank all the anonymous reviewers for their helpful advice. This paper is supported by the National Natural Science Foundation of China (Grant Nos. 61100204, 61170269, 61121061), the China Postdoctoral Science Foundation Funded Project (Grant No. 2013M540070), the Beijing Higher Education Young Elite Teacher Project (Grant No. YETP0449), the Open Research Fund of Zhejiang Provincial Key Lab of Data Storage and Transmission Technology, Hangzhou Dianzi University (Grant No. 201305), and the Asia Foresight Program under NSFC Grant (Grant No. 61161140320).

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Authors and Affiliations

  1. School of Science, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Weiping Wang & Jinghua Xiao

  2. Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Lixiang Li, Haipeng Peng & Yixian Yang

  3. National Engineering Laboratory for Disaster Backup and Recovery, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Yixian Yang

  4. Zhejiang Provincial Key Lab of Data Storage and Transmission Technology, Hangzhou Dianzi University, Hangzhou, 310018, Zhejiang, China

    Weiping Wang & Haipeng Peng

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  1. Weiping Wang
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  2. Lixiang Li
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  3. Haipeng Peng
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  4. Jinghua Xiao
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  5. Yixian Yang
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Correspondence to Lixiang Li.

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Wang, W., Li, L., Peng, H. et al. Stochastic synchronization of complex network via a novel adaptive nonlinear controller. Nonlinear Dyn 76, 591–598 (2014). https://doi.org/10.1007/s11071-013-1153-8

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  • DOI: https://doi.org/10.1007/s11071-013-1153-8

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