IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v183y2024ics0960077924004326.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077924004326
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2024.114880?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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. 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.
    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. 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).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Zhang, Liang & Liang, Jing & Feng, Zhiguang & Zhao, Ning, 2024. "Improved results of asynchronous mixed H∞ and passive control for discrete-time linear switched system with mode-dependent average dwell time," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    2. Zhang, Jinyuan & Ma, Yuechao, 2024. "Output feedback pinning control for complex dynamical networks subjected to multiple attacks," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    3. Yuan, Haiyan & Zhu, Quanxin, 2024. "Practical stability of the analytical and numerical solutions of stochastic delay differential equations driven by G-Brownian motion via some novel techniques," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    4. Ren, Yue & Jiang, Haijun & Hu, Cheng & Chen, Shanshan, 2024. "Synchronization of complex-valued multi-layer coupled systems by asynchronous intermittent event-triggered mechanisms," Applied Mathematics and Computation, Elsevier, vol. 477(C).
    5. Shen, Zhihao & Zhang, Liang & Niu, Ben & Zhao, Ning, 2023. "Event-based reachable set synthesis for delayed nonlinear semi-Markov systems," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    6. Liang, Jianchao & Liu, Jian & Tse, Chi K. & Liu, Mengxuan, 2024. "Observer-based aperiodically intermittent pinning synchronization of complex-valued dynamical networks with time-varying delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 635(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:183:y:2024:i:c:s0960077924004326. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.