IDEAS home Printed from https://ideas.repec.org/a/taf/tsysxx/v46y2015i5p944-954.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/00207721.2013.822123
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/00207721.2013.822123?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 search for a different version of it.

    References listed on IDEAS

    as
    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.
    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. 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.

    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. Nai-feng Gan & Yu-feng LU & Ting Gong, 2014. "Stabilization with Internal Loop for Infinite-Dimensional Discrete Time-Varying Systems," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-7, April.
    2. Qiu, Fang & Cui, Baotong & Ji, Yan, 2009. "Novel robust stability analysis for uncertain neutral system with mixed delays," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1820-1828.
    3. Xiong, Lianglin & Zhong, Shouming & Ye, Mao & Wu, Shiliang, 2009. "New stability and stabilization for switched neutral control systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1800-1811.
    4. Zhaoxia Duan & Zhengrong Xiang & Hamid Reza Karimi, 2014. "Robust stabilisation of 2D state-delayed stochastic systems with randomly occurring uncertainties and nonlinearities," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(7), pages 1402-1415, July.
    5. Park, Ju H. & Kwon, O.M., 2009. "Global stability for neural networks of neutral-type with interval time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1174-1181.
    6. Huiyuan Shi & Ping Li & Chengli Su & Jingxian Yu, 2019. "Fuzzy Predictive Fault-Tolerant Control for Time-Delay Nonlinear Systems with Partial Actuator Failures," Complexity, Hindawi, vol. 2019, pages 1-20, August.
    7. Qiang Yu & Baowei Wu, 2015. "Robust stability analysis of uncertain switched linear systems with unstable subsystems," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(7), pages 1278-1287, May.
    8. K. Ramakrishnan & G. Ray, 2011. "Robust Stability Criteria for Uncertain Neutral Systems with Interval Time-Varying Delay," Journal of Optimization Theory and Applications, Springer, vol. 149(2), pages 366-384, May.
    9. Karimi, Hamid Reza & Zapateiro, Mauricio & Luo, Ningsu, 2009. "Stability analysis and control synthesis of neutral systems with time-varying delays and nonlinear uncertainties," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 595-603.

    More about this item

    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:taf:tsysxx:v:46:y:2015:i:5:p:944-954. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/TSYS20 .

    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.