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Synchronization of complex networks with multiple disturbances via aperiodically intermittent control input

Author

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  • Wei, Yong
  • Shen, Mouquan
  • Zhu, Zheng H.
  • Meng, Xianji

Abstract

This paper considers anti-disturbance aperiodically intermittent control of complex dynamical networks with unmatched and matched disturbances. The unmatched ones are suppressed by the H∞ method and the matched ones are compensated via distributed disturbance observers. An event-dependent intermittent strategy is built in terms of an auxiliary function with a square root form and three segmented regions. A composite controller is proposed in terms of output-feedback and the estimated matched disturbances. Moreover, a sufficient criterion is obtained for the synchronization of complex network systems with the H∞ performance index γ through Lyapunov stability theory and linear congruence transformation. Finally, the viability of the proposed approach is verified through two numerical simulations.

Suggested Citation

  • Wei, Yong & Shen, Mouquan & Zhu, Zheng H. & Meng, Xianji, 2025. "Synchronization of complex networks with multiple disturbances via aperiodically intermittent control input," Applied Mathematics and Computation, Elsevier, vol. 502(C).
    • Handle: RePEc:eee:apmaco:v:502:y:2025:i:c:s0096300325002218
    DOI: 10.1016/j.amc.2025.129495
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    References listed on IDEAS

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    1. Yao, Xiuming & Lian, Yue & Park, Ju H., 2019. "Disturbance-observer-based event-triggered control for semi-Markovian jump nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 363(C), pages 1-1.
    2. Liu, Xiaonan & Kao, Yonggui, 2021. "Aperiodically intermittent pinning outer synchronization control for delayed complex dynamical networks with reaction-diffusion terms," Applied Mathematics and Computation, Elsevier, vol. 410(C).
    3. Zhou, Wenjia & Hu, Yuanfa & Liu, Xiaoyang & Cao, Jinde, 2022. "Finite-time adaptive synchronization of coupled uncertain neural networks via intermittent control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 596(C).
    4. Chu, Yao & Li, Xiaodi & Han, Xiuping, 2024. "Exponential synchronization of complex networks with unmeasured coupling delays via impulsive observer and impulsive control," Applied Mathematics and Computation, Elsevier, vol. 479(C).
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