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Output synchronization control for a class of complex dynamical networks with non-identical dynamics

Author

Listed:
  • Xiao, Xiang
  • Li, Xiao-Jian
  • Jin, Xiao-Zheng
  • Cui, Yan

Abstract

This paper is concerned with the output synchronization control problem for a class of complex dynamical networks (CDNs) with non-identical dynamics. An output feedback control protocol consisting of a feedforward control law and a feedback control law is developed to achieve the output synchronization. More specifically, the feedforward control law is designed to compensate the coupling dynamics of the CDNs, and the feedback control law is designed by solving an algebraic Riccati equation (ARE), which is established by defining a modified quadratic performance index. It is shown that the output feedback control protocol solves the output synchronization control problem, and the graph theory is used to construct a global Lyapunov function, based on which a rigorous asymptotic convergence analysis of output synchronization errors is conducted. Finally, a simulation example is given to verify the effectiveness of the theoretical results.

Suggested Citation

  • Xiao, Xiang & Li, Xiao-Jian & Jin, Xiao-Zheng & Cui, Yan, 2018. "Output synchronization control for a class of complex dynamical networks with non-identical dynamics," Applied Mathematics and Computation, Elsevier, vol. 335(C), pages 38-49.
    • Handle: RePEc:eee:apmaco:v:335:y:2018:i:c:p:38-49
    DOI: 10.1016/j.amc.2018.04.029
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    References listed on IDEAS

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    1. Bao, Haibo & Park, Ju H. & Cao, Jinde, 2015. "Matrix measure strategies for exponential synchronization and anti-synchronization of memristor-based neural networks with time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 543-556.
    2. Chen, Xiangyong & Park, Ju H. & Cao, Jinde & Qiu, Jianlong, 2017. "Sliding mode synchronization of multiple chaotic systems with uncertainties and disturbances," Applied Mathematics and Computation, Elsevier, vol. 308(C), pages 161-173.
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    Cited by:

    1. Wang, Fei & Yang, Yongqing, 2018. "Quasi-synchronization for fractional-order delayed dynamical networks with heterogeneous nodes," Applied Mathematics and Computation, Elsevier, vol. 339(C), pages 1-14.
    2. Liu, Cheng-Qian & Li, Xiao-Jian & Long, Yue & Sun, Jie, 2020. "Output feedback secure control for cyber-physical systems against sparse sensor attacks," Applied Mathematics and Computation, Elsevier, vol. 384(C).

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