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Event-triggered impulsive control of stochastic functional differential systems

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  • Li, Jing
  • Zhu, Quanxin

Abstract

This article discusses the stabilization problem of stochastic functional differential systems (SFDSs) with event-triggered impulsive control (ETIC). We propose two types of event-triggered mechanism (ETM), namely, continuous ETM with state-dependent waiting time and periodic ETM with state-dependent sampling period. Based on the Lyapunov functionals and mathematical induction, we develop sufficient conditions to achieve the stability of SFDS. Two illustrative examples are given to demonstrate the validity of the theoretical results.

Suggested Citation

  • Li, Jing & Zhu, Quanxin, 2023. "Event-triggered impulsive control of stochastic functional differential systems," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    • Handle: RePEc:eee:chsofr:v:170:y:2023:i:c:s096007792300317x
    DOI: 10.1016/j.chaos.2023.113416
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    References listed on IDEAS

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    1. Abbasi, Zohreh & Zamani, Iman & Mehra, Amir Hossein Amiri & Shafieirad, Mohsen & Ibeas, Asier, 2020. "Optimal Control Design of Impulsive SQEIAR Epidemic Models with Application to COVID-19," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    2. Mingli Xia & Linna Liu & Jianyin Fang & Yicheng Zhang, 2023. "Stability Analysis for a Class of Stochastic Differential Equations with Impulses," Mathematics, MDPI, vol. 11(6), pages 1-10, March.
    3. Xin-Nan Zhang & Xiao-Jian Li, 2020. "Adaptive fault-tolerant control for a class of stochastic nonlinear systems with multiple sensor faults," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(12), pages 2217-2237, September.
    4. Fu, Xiaozheng & Zhu, Quanxin & Guo, Yingxin, 2019. "Stabilization of stochastic functional differential systems with delayed impulses," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 776-789.
    5. Ruofeng Rao & Zhi Lin & Xiaoquan Ai & Jiarui Wu, 2022. "Synchronization of Epidemic Systems with Neumann Boundary Value under Delayed Impulse," Mathematics, MDPI, vol. 10(12), pages 1-10, June.
    6. Liu, Haoliang & Zhang, Taixiang & Li, Xiaodi, 2021. "Event-triggered control for nonlinear systems with impulse effects," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    7. Kaviya, R. & Priyanka, M. & Muthukumar, P., 2022. "Mean-square exponential stability of impulsive conformable fractional stochastic differential system with application on epidemic model," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
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