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Finite-Time Function Projective Synchronization in Complex Multi-links Networks with Time-Varying Delay

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Abstract

This paper investigates the problem of finite-time function projective synchronization in complex multi-links networks with time-varying delay. A nonlinear feedback controller is designed to achieve finite-time function projective synchronization. Some novel and useful finite-time function projective synchronization criteria are derived based on finite-time stability theory. And another controller is designed to ensure function projective synchronization of complex multi-links networks with time-varying delay. Finally, illustrative examples are given to show the feasibility of the proposed method.

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Acknowledgments

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), 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, Beijing University of Posts and Telecommunications, Beijing , 100876, China

    Haipeng Peng, Lixiang Li & Yixian Yang

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

    Yixian Yang

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

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Wang, W., Peng, H., Li, L. et al. Finite-Time Function Projective Synchronization in Complex Multi-links Networks with Time-Varying Delay. Neural Process Lett 41, 71–88 (2015). https://doi.org/10.1007/s11063-013-9335-4

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