IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i4p583-d1339188.html
   My bibliography  Save this article

Novel Robust Stability Criteria for Lur’e Systems with Time-Varying Delay

Author

Listed:
  • Wei Wang

    (School of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412007, China)

  • Jinming Liang

    (School of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412007, China)

  • Mihan Liu

    (School of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412007, China
    School of Electric Power Engineering, South China University of Technology, Guangzhou 510640, China)

  • Liming Ding

    (School of Computer and Artificial Intelligence (School of Software), Huaihua University, Huaihua 418008, China)

  • Hongbing Zeng

    (School of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412007, China)

Abstract

This paper focuses on addressing the issue of absolute stability for uncertain Lur’e systems with time-varying delay using a delay-segmentation approach. The approach involves decomposing the delay interval into two distinct subintervals of unequal lengths. This allows for the introduction of a delay-segmentation-based augmented Lyapunov–Krasovskii functional that ensures piecewise continuity at the partition points. By selecting two sets of Lyapunov matrices for the time-varying delay in each interval, the obtained results are less conservative, providing a more accurate assessment of absolute stability. Finally, a numerical example is given to demonstrate the superiority of the delay-segmentation approach.

Suggested Citation

  • Wei Wang & Jinming Liang & Mihan Liu & Liming Ding & Hongbing Zeng, 2024. "Novel Robust Stability Criteria for Lur’e Systems with Time-Varying Delay," Mathematics, MDPI, vol. 12(4), pages 1-12, February.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:4:p:583-:d:1339188
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/4/583/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/12/4/583/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Yupeng Shi & Dayong Ye, 2023. "Stability Analysis of Delayed Neural Networks via Composite-Matrix-Based Integral Inequality," Mathematics, MDPI, vol. 11(11), pages 1-13, May.
    2. Wenyong Duan & Baozhu Du & Jing You & Yun Zou, 2015. "Improved robust stability criteria for a class of Lur'e systems with interval time-varying delays and sector-bounded nonlinearity," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(5), pages 944-954, April.
    3. Yang, Te & Wang, Zhen & Xia, Jianwei & Shen, Hao, 2023. "Sampled-data exponential synchronization of stochastic chaotic Lur’e delayed systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 44-57.
    4. Jun Wang & Yongqiang Tian & Lanfeng Hua & Kaibo Shi & Shouming Zhong & Shiping Wen, 2023. "New Results on Finite-Time Synchronization Control of Chaotic Memristor-Based Inertial Neural Networks with Time-Varying Delays," Mathematics, MDPI, vol. 11(3), pages 1-18, January.
    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. Muhammad Maaruf & Waleed M. Hamanah & Mohammad A. Abido, 2023. "Hybrid Backstepping Control of a Quadrotor Using a Radial Basis Function Neural Network," Mathematics, MDPI, vol. 11(4), pages 1-19, February.
    2. Ruixia Liu & Lei Xing & Hong Deng & Weichao Zhong, 2023. "Finite-Time Adaptive Fuzzy Control for Unmodeled Dynamical Systems with Actuator Faults," Mathematics, MDPI, vol. 11(9), pages 1-22, May.
    3. Yupeng Shi & Dayong Ye, 2023. "Stability Analysis of Delayed Neural Networks via Composite-Matrix-Based Integral Inequality," Mathematics, MDPI, vol. 11(11), pages 1-13, May.
    4. Zhen Yang & Zhengqiu Zhang, 2023. "New Results on Finite-Time Synchronization of Complex-Valued BAM Neural Networks with Time Delays by the Quadratic Analysis Approach," Mathematics, MDPI, vol. 11(6), pages 1-21, March.
    5. Shi, Kaibo & Liu, Xinzhi & Zhu, Hong & Zhong, Shouming & Zeng, Yong & Yin, Chun, 2016. "Novel delay-dependent master-slave synchronization criteria of chaotic Lur’e systems with time-varying-delay feedback control," Applied Mathematics and Computation, Elsevier, vol. 282(C), pages 137-154.
    6. 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.
    7. Wenqi Liao & Hongbing Zeng & Huichao Lin, 2024. "Stability Analysis of Linear Time-Varying Delay Systems via a Novel Augmented Variable Approach," Mathematics, MDPI, vol. 12(11), pages 1-14, May.
    8. Juan Yu & Kailong Xiong & Cheng Hu, 2024. "Synchronization Analysis for Quaternion-Valued Delayed Neural Networks with Impulse and Inertia via a Direct Technique," Mathematics, MDPI, vol. 12(7), pages 1-22, March.
    9. Fengjiao Zhang & Yinfang Song & Chao Wang, 2023. "α -Synchronization of a Class of Unbounded Delayed Inertial Cohen–Grossberg Neural Networks with Delayed Impulses," Mathematics, MDPI, vol. 11(19), pages 1-18, September.
    10. Xiong, Kailong & Hu, Cheng & Yu, Juan, 2023. "Direct approach-based synchronization of fully quaternion-valued neural networks with inertial term and time-varying delay," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    11. Wenyong Duan & Yan Li & Jian Chen & Lin Jiang, 2019. "New Results on Stability Analysis of Uncertain Neutral-Type Lur’e Systems Derived from a Modified Lyapunov-Krasovskii Functional," Complexity, Hindawi, vol. 2019, pages 1-20, April.

    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:12:y:2024:i:4:p:583-:d:1339188. 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.