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Adaptive event-triggered control for stability of fractional-order T-S fuzzy multi-links complex networks with random coupling delay

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  • Liu, Xin
  • Chen, Lili
  • Zhao, Yanfeng
  • Li, Honglin

Abstract

The main concern of this article is to address the exponential stability problem of fractional-order T-S fuzzy multi-links complex networks through designing the novel intermittent adaptive event-triggered control (IAE-TC) scheme. To reduce unnecessary transmission burden as much as possible in an allowable range, dynamic variable is introduced into fuzzy intermittent adaptive control and then fuzzy intermittent adaptive event-triggered control is established. In this control scheme, the controller is only activated when the event triggering conditions are not met, and has adaptability to the evolution results of the controlled network. Furthermore, by applying the Lyapunov method, the graph theory and the IAE-TC strategy, exponential stability criteria of the proposed networks are deduced. Meanwhile, we prove that Zeno behavior does not exist. Ultimately, an application about fractional-order T-S fuzzy multi-links competitive neural networks model is given to demonstrate the validity of the results, simultaneously, we show some numerical simulations.

Suggested Citation

  • Liu, Xin & Chen, Lili & Zhao, Yanfeng & Li, Honglin, 2023. "Adaptive event-triggered control for stability of fractional-order T-S fuzzy multi-links complex networks with random coupling delay," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    • Handle: RePEc:eee:chsofr:v:176:y:2023:i:c:s096007792300975x
    DOI: 10.1016/j.chaos.2023.114074
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    References listed on IDEAS

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    1. Xu, Liguang & Chu, Xiaoyan & Hu, Hongxiao, 2021. "Quasi-synchronization analysis for fractional-order delayed complex dynamical networks," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 185(C), pages 594-613.
    2. Yang, Ni & Gao, Ruiyi & Su, Huan, 2022. "Stability of multi-links complex-valued impulsive stochastic systems with Markovian switching and multiple delays," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
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    Cited by:

    1. Wang, Yunlong & Qi, Yiwen & Geng, Honglin & Tang, Yiwen & Li, Xin, 2024. "Long short-term memory based intelligent control for switched system with a resilient event-triggered communication," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    2. Zheng, Huannan & Zhu, Wei & Li, Xiaodi, 2024. "Quasi-synchronization of parameter mismatch drive-response systems: A self-triggered impulsive control strategy," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).

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