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Adaptive Output Synchronization of General Complex Dynamical Network with Time-Varying Delays

Author

Listed:
  • Liangzhi Gan

    (School of Electrical Engineering & Automation, Jiangsu Normal University, Xuzhou 221116, China
    These authors contributed equally to this work.)

  • Shuo Li

    (School of Electrical Engineering & Automation, Jiangsu Normal University, Xuzhou 221116, China
    These authors contributed equally to this work.)

  • Na Duan

    (School of Electrical Engineering & Automation, Jiangsu Normal University, Xuzhou 221116, China
    Research Center for Complex Networks and Swarm Intelligence, Jiangsu Normal University, Xuzhou 221116, China
    These authors contributed equally to this work.)

  • Xiangyong Kong

    (Research Center for Complex Networks and Swarm Intelligence, Jiangsu Normal University, Xuzhou 221116, China
    School of Electrical Engineering & Automation, Jiangsu Normal University Kewen College, Xuzhou 221116, China
    These authors contributed equally to this work.)

Abstract

This paper is concerned with the output synchronization problems for a class of delayed complex dynamical networks. Based on the invariant principle of functional differential equations and Lyapunov stability theory, the feedback controller and parameter update laws are constructed for a large-scale network with uncertainties. The general complex delayed network can achieve synchronization by adaptively adjusting their feedback gains. Numerical examples are presented to further verify the effectiveness of the proposed control scheme.

Suggested Citation

  • Liangzhi Gan & Shuo Li & Na Duan & Xiangyong Kong, 2020. "Adaptive Output Synchronization of General Complex Dynamical Network with Time-Varying Delays," Mathematics, MDPI, vol. 8(3), pages 1-10, March.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:3:p:311-:d:326726
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    References listed on IDEAS

    as
    1. Duncan J. Watts & Steven H. Strogatz, 1998. "Collective dynamics of ‘small-world’ networks," Nature, Nature, vol. 393(6684), pages 440-442, June.
    2. Yu, Tianhu & Cao, Dengqing & Yang, Yang & Liu, Shengqiang & Huang, Wenhu, 2016. "Robust synchronization of impulsively coupled complex dynamical network with delayed nonidentical nodes," Chaos, Solitons & Fractals, Elsevier, vol. 87(C), pages 92-101.
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