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Improved robust stability criteria for a class of Lur'e systems with interval time-varying delays and sector-bounded nonlinearity

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  • Wenyong Duan
  • Baozhu Du
  • Jing You
  • Yun Zou

Abstract

This paper is concerned with the absolute and robust stability for a class of neutral-type Lur'e systems with an interval time-varying delay and sector-bounded nonlinearity. By discretising the delay interval into two segmentations with an unequal width, new delay-dependent sufficient conditions for the absolute and robust stability of neutral-type Lur'e systems are proposed in terms of linear matrix inequalities (LMIs) by employing a modified Lyapunov-Krasovskii functional (LKF). These conditions reduce the conservativeness in computing the maximum allowed delay bounds (MADBs) in many cases. Finally, several standard numerical examples are presented to show the effectiveness of the proposed approach.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:tsysxx:v:46:y:2015:i:5:p:944-954
    DOI: 10.1080/00207721.2013.822123
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    References listed on IDEAS

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    1. Tai-Fang Li & Georgi Dimirovski & Yanyan Liu & Jun Zhao, 2013. "Improved stability of a class of switched neutral systems via Lyapunov–Krasovskii functionals and an average dwell-time scheme," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(6), pages 1076-1088.
    2. Jian-Ning Li & Hongye Su & Zheng-Guang Wu & Jian Chu, 2013. "Less conservative robust stability criteria for uncertain discrete stochastic singular systems with time-varying delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(3), pages 432-441.
    3. Engang Tian & Dong Yue & Chen Peng, 2012. "Delay-fractioning-dependent robust control for linear systems with delay in state or input and its applications," International Journal of Systems Science, Taylor & Francis Journals, vol. 43(5), pages 820-833.
    4. Bo Song & Shengyuan Xu & Jianwei Xia & Yun Zou & Qingwei Chen, 2011. "Design of robust filters for a class of uncertain nonlinear neutral stochastic systems with time delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(4), pages 633-642.
    5. Yonggang Chen & Weiping Bi & Wenlin Li, 2011. "New delay-dependent absolute stability criteria for Lur'e systems with time-varying delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(7), pages 1105-1113.
    6. Guobao Zhang & Ting Wang & Tao Li & Shumin Fei, 2013. "Delay-derivative-dependent stability criterion for neural networks with probabilistic time-varying delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(11), pages 2140-2151.
    7. Yu, Ker-Wei & Lien, Chang-Hua, 2008. "Stability criteria for uncertain neutral systems with interval time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 650-657.
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    Cited by:

    1. 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.
    2. 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.
    3. 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.

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