IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v13y2025i10p1554-d1651930.html
   My bibliography  Save this article

Robust Stability of Switched Interconnected Systems with Switching Uncertainties

Author

Listed:
  • Huanbin Xue

    (School of Mathematics and Statistics, Hanshan Normal University, Chaozhou 521041, China)

  • Xiaopeng Yang

    (School of Mathematics and Statistics, Hanshan Normal University, Chaozhou 521041, China)

Abstract

This paper investigates the problem of robust stability for a class of switched interconnected systems characterized by unstable modes, time-varying state delays, and switching uncertainties. Switching uncertainties cause variations in both the nominal switching sequence and the prescribed switching instants, which significantly impact system stability. To address this, two novel concepts—namely, the generalized nominal switching signal and the composite switching signal—are introduced under switching uncertainty disturbances. Additionally, a new index, termed the generalized mode changing rate, is proposed. Building on these concepts and index, the idea of the vector Lyapunov function and average dwell time method are further incorporated to derive sufficient conditions for ensuring the robust exponential stability of the system. Finally, a numerical example is provided to demonstrate the effectiveness and validity of the proposed theory.

Suggested Citation

  • Huanbin Xue & Xiaopeng Yang, 2025. "Robust Stability of Switched Interconnected Systems with Switching Uncertainties," Mathematics, MDPI, vol. 13(10), pages 1-19, May.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:10:p:1554-:d:1651930
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/13/10/1554/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/13/10/1554/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Yajuan Li & Huanbin Xue, 2024. "Robust Stability Analysis of Switched Neural Networks with Application in Psychological Counseling Evaluation System," Mathematics, MDPI, vol. 12(13), pages 1-21, July.
    2. Jiamei Xing & Baowei Wu & Yue-E Wang & Lili Liu, 2025. "Exponential stability and non-weighted L2-gain analysis for switched neutral systems with unstable subsystems," International Journal of Systems Science, Taylor & Francis Journals, vol. 56(4), pages 673-689, March.
    3. Ren, Hangli & Zong, Guangdeng & Hou, Linlin & Yi, Yang, 2016. "Finite-time control of interconnected impulsive switched systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 276(C), pages 143-157.
    4. Xue, Huanbin & Xu, Xiaohui & Zhang, Jiye & Yang, Xiaopeng, 2019. "Robust stability of impulsive switched neural networks with multiple time delays," Applied Mathematics and Computation, Elsevier, vol. 359(C), pages 456-475.
    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. Wang, Ronghao & Xing, Jianchun & Xiang, Zhengrong, 2018. "Finite-time stability and stabilization of switched nonlinear systems with asynchronous switching," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 229-244.
    2. Ren, Yuanhong & Wang, Weiqun & Wang, Yixiang, 2018. "Incremental H∞ control for switched nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 331(C), pages 251-263.
    3. Zhan, Tao & Ma, Shuping & Chen, Hao, 2019. "Impulsive stabilization of nonlinear singular switched systems with all unstable-mode subsystems," Applied Mathematics and Computation, Elsevier, vol. 344, pages 57-67.
    4. Su, Qingyu & Jia, Xiaolong & Liu, Honghai, 2016. "Finite-time stabilization of a class of cascade nonlinear switched systems under state-dependent switching," Applied Mathematics and Computation, Elsevier, vol. 289(C), pages 172-180.
    5. Qi, Wenhai & Kao, Yonggui & Gao, Xianwen & Wei, Yunliang, 2018. "Controller design for time-delay system with stochastic disturbance and actuator saturation via a new criterion," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 535-546.
    6. Yajuan Li & Huanbin Xue, 2024. "Robust Stability Analysis of Switched Neural Networks with Application in Psychological Counseling Evaluation System," Mathematics, MDPI, vol. 12(13), pages 1-21, July.
    7. Lulu Wu & Feifei Liu & Haibo Gu & Pei Wang, 2022. "Adaptive Finite-Time Control of Stochastic Genetic Regulatory Networks with Time-Varying Delays," Mathematics, MDPI, vol. 10(21), pages 1-17, November.

    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:gam:jmathe:v:13:y:2025:i:10:p:1554-:d:1651930. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.