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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
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    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.
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