IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v507y2025ics009630032500284x.html

Predefined-time Lyapunov stability for nonlinear systems via a dynamic event-triggered control strategy

Author

Listed:
  • Wu, Jie
  • Yang, Rongni
  • Kovacs, Levente
  • Shi, Peng

Abstract

In this paper, the predefined-time Lyapunov stability of nonlinear systems is investigated via a dynamic event-triggered control strategy. Specifically, we succeeded in making such systems with local finite-time convergence property admit a larger convergence domain within a predefined instant. As is well known, the presence of finite-time property brings great difficulties in excluding Zeno behavior of event-triggered mechanism. Hence, a possible solution is that the designed event-based controller only works in extended domain, while the convergence of initial domain is generated by system itself. Thus the Zeno behavior is excluded. Meanwhile, sufficient conditions for the predefined-time stability of the resultant closed-loop systems are further established. Finally, two simulation examples including an application to Chua's circuit are presented to illustrate the effectiveness of the proposed theoretical results.

Suggested Citation

  • Wu, Jie & Yang, Rongni & Kovacs, Levente & Shi, Peng, 2025. "Predefined-time Lyapunov stability for nonlinear systems via a dynamic event-triggered control strategy," Applied Mathematics and Computation, Elsevier, vol. 507(C).
    • Handle: RePEc:eee:apmaco:v:507:y:2025:i:c:s009630032500284x
    DOI: 10.1016/j.amc.2025.129558
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S009630032500284X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2025.129558?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. Xu, Bo & Liang, Yanjun & Li, Yuan-Xin & Hou, Zhongsheng, 2022. "Adaptive command filtered fixed-time control of nonlinear systems with input quantization," Applied Mathematics and Computation, Elsevier, vol. 427(C).
    2. Wen Bai & Peter Xiaoping Liu & Huanqing Wang & Ming Chen, 2022. "Adaptive finite-time control for nonlinear multi-agent high-order systems with actuator faults," International Journal of Systems Science, Taylor & Francis Journals, vol. 53(11), pages 2437-2460, August.
    3. Hu, Yifan & Liu, Wenhui, 2023. "Adaptive fuzzy dynamic surface control for nonstrict-feedback nonlinear state constrained systems with input dead-zone via event-triggered sampling," Applied Mathematics and Computation, Elsevier, vol. 450(C).
    4. Zhang, Mengjiao & Zang, Hongyan & Bai, Luyuan, 2022. "A new predefined-time sliding mode control scheme for synchronizing chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    5. Yu, Zhefeng & Zhao, Feng & Ding, Shihong & Chen, Xiangyong, 2022. "Adaptive pre-assigned finite-time control of uncertain nonlinear systems with unknown control gains," Applied Mathematics and Computation, Elsevier, vol. 417(C).
    6. Nguyen, Khanh Hieu & Kim, Sung Hyun, 2022. "Improved sampled-data control design of T-S fuzzy systems against mismatched fuzzy-basis functions," Applied Mathematics and Computation, Elsevier, vol. 428(C).
    7. Yongchao Liu & Qidan Zhu, 2022. "Adaptive fuzzy asymptotic control for switched nonlinear systems with state constraints," International Journal of Systems Science, Taylor & Francis Journals, vol. 53(5), pages 922-933, April.
    8. Li, Mingyue & Wang, Mingzhu & Liu, Wenlu & Wu, Shuchen & Li, Xiaodi, 2023. "Exponential stability of nonlinear systems via event-triggered impulsive control based on partial states," Applied Mathematics and Computation, Elsevier, vol. 459(C).
    9. Dou, Wenhui & Ding, Shihong & Chen, Xiangyong, 2022. "Practical adaptive finite-time stabilization for a class of second-order systems," Applied Mathematics and Computation, Elsevier, vol. 431(C).
    10. Zou, Ying & Deng, Chao & Dong, Lu & Ding, Lei & Lu, Ming, 2022. "Distributed output feedback consensus tracking control of multiple nonholonomic mobile robots with only position information of leader," Applied Mathematics and Computation, Elsevier, vol. 422(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. Wu, Ziwei & Xu, Ning & Zhang, Liang & Zhao, Ning & Song, Guangjing, 2026. "Privacy preservation-based dynamic event-triggered bipartite consensus strategy for nonlinear multi-agent systems with unknown mismatched disturbances," Applied Mathematics and Computation, Elsevier, vol. 515(C).

    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. Qi, Xiaojing & Xu, Shengyuan, 2025. "Event-triggered sampling-based singularity-free fixed-time control for nonlinear systems subject to input saturation and unknown control directions," Applied Mathematics and Computation, Elsevier, vol. 486(C).
    2. Song, Yuhui & Wang, Huanqing & Liu, Xiaoping, 2026. "Predefined-time adaptive neural output-feedback control with filtered compensation for switched systems via event-triggered communication," Applied Mathematics and Computation, Elsevier, vol. 519(C).
    3. Chen, Xiang & Li, Shi & Wang, Ronghao & Xiang, Zhengrong, 2023. "Event-Triggered output feedback adaptive control for nonlinear switched interconnected systems with unknown control coefficients," Applied Mathematics and Computation, Elsevier, vol. 445(C).
    4. Cui, Guozeng & Xu, Hui & Yu, Jinpeng & Ma, Jiali & Li, Ze, 2023. "Fixed-time distributed adaptive attitude control for multiple QUAVs with quantized input," Applied Mathematics and Computation, Elsevier, vol. 449(C).
    5. Wang, Huanqing & Meng, Zhu, 2024. "Fixed-time adaptive neural tracking control for high-order nonlinear switched systems with input saturation and dead-zone," Applied Mathematics and Computation, Elsevier, vol. 480(C).
    6. Zhang, Mengjiao & Zang, Hongyan & Liu, Zhongxin, 2025. "Fractional-order adaptive sliding mode control based on predefined-time stability for chaos synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 191(C).
    7. Wu, Dawei & Sun, Yonghui & Xia, Rongsheng & Lu, Shumin, 2022. "Improved Adaptive Fuzzy Control for Non-Strict Feedback Nonlinear Systems: a Dynamic Compensation System Approach," Applied Mathematics and Computation, Elsevier, vol. 435(C).
    8. Huan Ding & Jing Qian & Danning Tian & Yun Zeng, 2025. "Norm-Based Adaptive Control with a Novel Practical Predefined-Time Sliding Mode for Chaotic System Synchronization," Mathematics, MDPI, vol. 13(5), pages 1-19, February.
    9. Jia, Chao & Liu, Xiaohua, 2024. "Predefined time quasi-sliding mode control with fast convergence based on a switchable exponent for nonlinear systems," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).
    10. Tan, Xiaojian & Feng, Yuming, 2025. "A new pre-defined smooth mode control for chaotic synchronization with exponential function," Chaos, Solitons & Fractals, Elsevier, vol. 201(P1).
    11. Liu, Zhengli & Luo, Mengzhuo & Cheng, Jun & Shi, Kaibo, 2025. "Synchronization control of partial-state-based neural networks: Event-triggered impulsive control with distributed actuation delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 657(C).
    12. Tiwari, Ankit & Singh, Piyush Pratap & Roy, Binoy Krishna, 2024. "A realizable chaotic system with interesting sets of equilibria, characteristics, and its underactuated predefined-time sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    13. Yao, Qijia & Jahanshahi, Hadi & Bekiros, Stelios, 2025. "Chaotic synchronization and convergence of second-order time-varying parameter systems using a hybrid barrier Lyapunov function-based controller with embedded indirect neural approximation for noise suppression," Chaos, Solitons & Fractals, Elsevier, vol. 200(P2).
    14. Gao, Shanshan & Zhang, Shenggui & Chen, Xinzhuang & Song, Xiaodi, 2023. "Effects of adding arcs on the consensus convergence rate of leader-follower multi-agent systems," Applied Mathematics and Computation, Elsevier, vol. 453(C).
    15. Zhuang Zhao & Hongbo Zheng & Zhen Xu & Minghao Si & Jinjiang Zhang, 2025. "Predefined-Time Nonsingular Fast Terminal Sliding Mode Trajectory Tracking Control for Wheeled Mobile Robot," Mathematics, MDPI, vol. 13(4), pages 1-28, February.
    16. Nguyen, Khanh Hieu & Kim, Sung Hyun, 2024. "Improved stability and stabilization criteria of sampled-data control systems based on an enhanced looped-functional," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 215(C), pages 69-81.
    17. Assali, El Abed & Li, Ruiqi, 2025. "Laplace transform for a new adaptive predefined stability theorem and its application to the synchronization of chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 199(P2).
    18. Zhu, Guanchao & Luo, Min & Cui, Guozeng & Li, Ze, 2025. "Dynamic event-triggered predefined-time adaptive attitude control for a QUAV with unknown deception attacks," Applied Mathematics and Computation, Elsevier, vol. 485(C).
    19. Liu, Xiaohua & Jia, Chao & Ping, Junjie, 2025. "Adjustable predefined time sliding mode control method for nonlinear systems with unknown disturbances," Chaos, Solitons & Fractals, Elsevier, vol. 199(P1).
    20. Ge, Fudong & Chen, YangQuan, 2024. "Event-triggered control for boundary controlled time-fractional diffusion systems with spatially-varying coefficients," Applied Mathematics and Computation, Elsevier, vol. 478(C).

    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:apmaco:v:507:y:2025:i:c:s009630032500284x. 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.