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Delay-dependent impulsive control for lag quasi-synchronization of stochastic complex dynamical networks

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  • Suo, JingJing
  • Hu, Hongxiao
  • Xu, Liguang

Abstract

In this paper, the globally exponential lag quasi-synchronization problem of stochastic complex dynamical networks with impulsive control is studied. Sufficient conditions ensuring the exponential lag quasi-synchronization in mean square for the systems with and without communication delay are obtained by using some important inequalities, Lyapunov function and Itô formula respectively. The results show that the lag quasi-synchronization of stochastic complex dynamical networks can be realized by using the impulsive control method. Two numerical examples are also given to verify the effectiveness of the theoretical results.

Suggested Citation

  • Suo, JingJing & Hu, Hongxiao & Xu, Liguang, 2023. "Delay-dependent impulsive control for lag quasi-synchronization of stochastic complex dynamical networks," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 211(C), pages 134-153.
    • Handle: RePEc:eee:matcom:v:211:y:2023:i:c:p:134-153
    DOI: 10.1016/j.matcom.2023.04.004
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    References listed on IDEAS

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    5. Qiu, Xiaofen & Zhu, Guanghu & Ding, Yong & Li, Kezan, 2019. "Successive lag synchronization on complex dynamical networks via delay-dependent impulsive control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 531(C).
    6. Wang, Sixin & Mei, Jun & Xia, Dan & Yang, Zhanying & Hu, Junhao, 2022. "Finite-time optimal feedback control mechanism for knowledge transmission in complex networks via model predictive control," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
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    Cited by:

    1. Liu, Shuang & Xu, Tianwei & Wang, Qingyun & Yang, Yan, 2024. "The impulsive synchronization of multiplex networks with mixed delays and dual uncertainties," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 219(C), pages 141-163.

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