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Stabilization of stochastic nonlinear systems via double-event-triggering mechanisms and switching controls

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  • Yang, Xuetao
  • Zhu, Quanxin

Abstract

In this paper, we concentrate on the exponential stabilization of stochastic nonlinear systems. Different from the single event-triggering mechanism in traditional deterministic/stochastic control systems, based on two stopping time sequences, we propose a double-event-triggering mechanism (DETM) to update control signals and make two different controls switch in order. Also, this novel DETM allows aperiodic time updating and guarantees a positive lower bound on the inter-event times. Together with this DETM, we introduce a switching control law that consists of a primary control and a secondary control for a non-switched stochastic system to obtain the exponential stabilization and boundedness results. Finally, an illustrative example with simulation figures is provided to demonstrate the obtained results.

Suggested Citation

  • Yang, Xuetao & Zhu, Quanxin, 2024. "Stabilization of stochastic nonlinear systems via double-event-triggering mechanisms and switching controls," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    • Handle: RePEc:eee:chsofr:v:183:y:2024:i:c:s0960077924004326
    DOI: 10.1016/j.chaos.2024.114880
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    References listed on IDEAS

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    1. Yuan, Haiyan & Zhu, Quanxin, 2023. "Discrete-time feedback stabilization for neutral stochastic functional differential equations driven by G-Lévy process," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    2. Zhang, Jianan & Ma, Yuechao, 2023. "Adaptive fault-tolerant double asynchronous control for switched semi-Markov jump systems via improved memory sampled-data technique," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    3. Ren, Yue & Jiang, Haijun & Hu, Cheng & Li, Xinman & Qin, Xuejiao, 2023. "Discontinuous control for exponential synchronization of complex-valued stochastic multi-layer networks," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    4. Huang, Dongmei & Li, Wei & Yang, Guidong & He, Meijuan, 2018. "Analysis of limit cycles and stochastic responses of a real-power vibration isolation system under delayed feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 112(C), pages 125-134.
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