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Event-triggered impulsive chaotic synchronization of fractional-order differential systems

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  • Yu, Nanxiang
  • Zhu, Wei

Abstract

The synchronization of fractional-order differential chaotic systems is investigated via event-triggered impulsive control(EIC), where the benefits of impulsive control and event-triggered control are adopted. The impulsive sequence is defined by certain triggering function and triggering condition, which are dependent on the states of master and slave systems. The controller is only updated at impulsive instants. As the update frequency of the controller is reduced, the consumption of communication bandwidth and computing resources by the controller can be further reduced. Furthermore, Zeno-behavior of impulsive sequence is excluded. Finally, the validity of the theoretical results is shown by a numerical example with simulation.

Suggested Citation

  • Yu, Nanxiang & Zhu, Wei, 2021. "Event-triggered impulsive chaotic synchronization of fractional-order differential systems," Applied Mathematics and Computation, Elsevier, vol. 388(C).
    • Handle: RePEc:eee:apmaco:v:388:y:2021:i:c:s0096300320305105
    DOI: 10.1016/j.amc.2020.125554
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    References listed on IDEAS

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    Cited by:

    1. Luo, Lingao & Li, Lulu & Huang, Wei, 2024. "Asymptotic stability of fractional-order Hopfield neural networks with event-triggered delayed impulses and switching effects," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 219(C), pages 491-504.
    2. Feng, Likang & Zhang, Weihai & Wu, Zhaojing, 2023. "Noise-to-state stability of random impulsive delay systems with multiple random impulses," Applied Mathematics and Computation, Elsevier, vol. 436(C).
    3. Hongguang Fan & Yue Rao & Kaibo Shi & Hui Wen, 2023. "Global Synchronization of Fractional-Order Multi-Delay Coupled Neural Networks with Multi-Link Complicated Structures via Hybrid Impulsive Control," Mathematics, MDPI, vol. 11(14), pages 1-17, July.
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    5. Zhang, Xiulan & Lin, Ming & Chen, Fangqi, 2023. "Composite iterative learning adaptive fuzzy control of fractional-order chaotic systems using robust differentiators," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    6. Mo, Wenjun & Bao, Haibo, 2024. "Mean-square bounded synchronization of fractional-order chaotic Lur’e systems under deception attack," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 641(C).

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