IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v200y2025ip2s0960077925011026.html

Finite-time stability of time-varying systems involving multiple impulses and its applications

Author

Listed:
  • Jiang, Tong
  • Xing, Ying
  • Li, Xiaodi

Abstract

In this article, the hybrid effects of stabilizing and destabilizing impulses are sufficiently taken into account in the study of the finite-time stability (FTS) problem for time-varying systems subjected to multiple impulses. Moreover, the connection among time-varying structures of the system, multiple impulses and settling time is established to ensure the globally FTS (GFTS) of the system. It demonstrates that multiple impulses may have dual effects on system behavior, either stabilizing or destabilizing, which result in a larger or smaller bound of settling time. Additionally, based on the above results, novel controllers ensuring finite-time convergence are developed for time-varying affine systems. A few examples and corresponding simulations are given to illustrate the efficiency of the theoretical findings, with a case focusing on the spin-stabilized spacecraft.

Suggested Citation

  • Jiang, Tong & Xing, Ying & Li, Xiaodi, 2025. "Finite-time stability of time-varying systems involving multiple impulses and its applications," Chaos, Solitons & Fractals, Elsevier, vol. 200(P2).
    • Handle: RePEc:eee:chsofr:v:200:y:2025:i:p2:s0960077925011026
    DOI: 10.1016/j.chaos.2025.117089
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077925011026
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2025.117089?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

    for a different version of it.

    References listed on IDEAS

    as
    1. Xiong, Wanmin & Zhou, Qiyuan & Xiao, Bing & Yu, Yuehua, 2007. "Global exponential stability of cellular neural networks with mixed delays and impulses," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 896-902.
    2. Zhang, Meng & Zhu, Quanxin, 2022. "Finite-time input-to-state stability of switched stochastic time-varying nonlinear systems with time delays," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    3. He, Xinyi & Li, Xiaodi & Nieto, Juan J., 2021. "Finite-time stability and stabilization for time-varying systems," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Alsaadi, Fuad E. & Alharbi, Njud S. & Al-Barakati, Abdullah A., 2026. "Nonlinear dynamics and uncertainty-aware control of prosthetic systems using Bayesian Neural Networks and finite-time disturbance compensation," Chaos, Solitons & Fractals, Elsevier, vol. 202(P2).

    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. Zheng, Wei & Zhang, Zhiming & Lam, Hak-Keung & Sun, Fuchun & Wen, Shuhuan, 2023. "LMIs-based exponential stabilization for interval delay systems via congruence transformation: Application in chaotic Lorenz system," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    2. Peng, Cheng & Liu, Xiaoqi & Kang, Rui & Wang, Sihan & Gao, Shang, 2023. "Stochastic input-to-state stability for stochastic complex dynamical control networks with impulsive perturbation," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    3. Wang, Jiafu & Huang, Lihong, 2012. "Almost periodicity for a class of delayed Cohen–Grossberg neural networks with discontinuous activations," Chaos, Solitons & Fractals, Elsevier, vol. 45(9), pages 1157-1170.
    4. Liu, Yanli & Sun, Yihua & Hao, Li-Ying, 2025. "Adaptive FTPP control of switched stochastic nonlinearly parameterized systems with asymptotic tracking performance," Applied Mathematics and Computation, Elsevier, vol. 495(C).
    5. Shi, Ya-Dan & Jiang, Ming-Han & Liu, Bin & Zhou, Xiao-Qi, 2026. "Finite-time global uniform tracking via disturbed hybrid impulsive control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 241(PA), pages 202-219.
    6. Jiang, Ziling & Huang, Fan & Shao, Haijian & Cai, Shuiming & Lu, Xiaobo & Jiang, Shengqin, 2023. "Time-varying finite-time synchronization analysis of attack-induced uncertain neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    7. Wu, Jie & He, Xinyi & Li, Xiaodi, 2022. "Finite-time stabilization of time-varying nonlinear systems based on a novel differential inequality approach," Applied Mathematics and Computation, Elsevier, vol. 420(C).
    8. Wang, Yufei & Xing, Ying & Li, Xiaodi, 2025. "Stability of delayed switched systems involving impulses: State-dependent switching control approach," Chaos, Solitons & Fractals, Elsevier, vol. 194(C).
    9. Sun, Jitao & Wang, Qing-Guo & Gao, Hanqiao, 2009. "Periodic solution for nonautonomous cellular neural networks with impulses," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1423-1427.
    10. Wang, Xiaohu & Xu, Daoyi, 2009. "Global exponential stability of impulsive fuzzy cellular neural networks with mixed delays and reaction-diffusion terms," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2713-2721.
    11. Wu, Qianqian & Yang, Dan & Li, Xiaodi, 2023. "Output tracking control for state-dependent switched systems with input delay," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    12. Singh, Vimal, 2009. "Novel global robust stability criterion for neural networks with delay," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 348-353.
    13. Sun, Yeong-Jeu, 2009. "Global exponential stability criterion for uncertain discrete-time cellular neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2022-2024.
    14. Gao, Jinfeng & Tan, Zhonghao & Li, Lebao & Jia, Guoqiang & Liu, Peter Xiaoping, 2025. "A novel finite-time non-singular robust control for robotic manipulators," Chaos, Solitons & Fractals, Elsevier, vol. 194(C).
    15. Senan, Sibel & Arik, Sabri, 2009. "New results for global robust stability of bidirectional associative memory neural networks with multiple time delays," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2106-2114.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    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:200:y:2025:i:p2:s0960077925011026. 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.