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Adaptive Synchronization of Complex Dynamical Networks with Time-Varying Delays

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Abstract

This paper addresses the problem of adaptive pinning synchronization of complex dynamical networks with nonlinear delayed intrinsic dynamics and time-varying delays. By introducing decentralized adaptive strategies to both the coupling strengths and the feedback gains, it is proved that the complex dynamical network can synchronize with the desired state for the bounded time-varying delays even when only one node is informed, without any global information of the underlying network. Finally, some numerical simulations are given to verify the main results and show the superiority of these self-designed adaptive strategies.

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Acknowledgements

This work was supported in part by the National Natural Science Foundation of China under Grant Nos. 61104140, 61304049, the Program for New Century Excellent Talents in University from Chinese Ministry of Education under Grant NCET-12-0215, the Research Fund for the Doctoral Program of Higher Education (RFDP) under Grant No. 20100142120023, the Program for Changjiang Scholars and Innovative Research Team in University under Grant IRT1245, Science and Technology Development Plan Project of Beijing Education Commission (No. KM201310009011), Funding Project for Academic Human Resources Development in Institutions of Higher Learning Under the Jurisdiction of Beijing Municipality (PHR201108055), the National High Technology Research and Development Program of China 863 (No. 2012AA112401).

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Authors and Affiliations

  1. College of Science, North China University of Technology, Beijing, 100144, China

    Bo Liu

  2. Department of Automation and Key Laboratory of System Control and Information Processing, Shanghai Jiao Tong University, Ministry of Education of China, Shanghai, 200240, China

    Xiaoling Wang

  3. School of Automation, Key Laboratory of Education Ministry for Image Processing and Intelligent Control, Huazhong University of Science and Technology, Wuhan, 430074, China

    Housheng Su & Hongtao Zhou

  4. Key Laboratory of Beijing for Field-bus Technology & Automation, North China University of Technology, Beijing, 100144, China

    Yuntao Shi

  5. Department of Applied Mathematical Sciences, Shanghai Finance University, Shanghai, 201209, China

    Rong Li

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  1. Bo Liu
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  2. Xiaoling Wang
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  3. Housheng Su
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  4. Hongtao Zhou
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Correspondence to Housheng Su.

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Liu, B., Wang, X., Su, H. et al. Adaptive Synchronization of Complex Dynamical Networks with Time-Varying Delays. Circuits Syst Signal Process 33, 1173–1188 (2014). https://doi.org/10.1007/s00034-013-9687-z

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  • DOI: https://doi.org/10.1007/s00034-013-9687-z

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