IDEAS home Printed from https://ideas.repec.org/a/wly/jnljam/v2012y2012i1n237430.html

Robust Exponential Stability for LPD Discrete‐Time System with Interval Time‐Varying Delay

Author

Listed:
  • Kanit Mukdasai

Abstract

This paper investigates the problem of robust exponential stability for uncertain linear‐parameter dependent (LPD) discrete‐time system with delay. The delay is of an interval type, which means that both lower and upper bounds for the time‐varying delay are available. The uncertainty under consideration is norm‐bounded uncertainty. Based on combination of the linear matrix inequality (LMI) technique and the use of suitable Lyapunov‐Krasovskii functional, new sufficient conditions for the robust exponential stability are obtained in terms of LMI. Numerical examples are given to demonstrate the effectiveness and less conservativeness of the proposed methods.

Suggested Citation

  • Kanit Mukdasai, 2012. "Robust Exponential Stability for LPD Discrete‐Time System with Interval Time‐Varying Delay," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:237430
    DOI: 10.1155/2012/237430
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2012/237430
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2012/237430?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
    ---><---

    References listed on IDEAS

    as
    1. Cui, Bao Tong & Hua, Min Gang, 2006. "Robust passive control for uncertain discrete-time systems with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 29(2), pages 331-341.
    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. Qinglong Wang & Zhijun Liu, 2013. "Uniformly Asymptotic Stability of Positive Almost Periodic Solutions for a Discrete Competitive System," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    2. Sirada Pinjai & Kanit Mukdasai, 2013. "New Delay‐Dependent Robust Exponential Stability Criteria of LPD Neutral Systems with Mixed Time‐Varying Delays and Nonlinear Perturbations," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    3. Hui Zhang & Bin Jing & Yingqi Li & Xiaofeng Fang, 2014. "Global Analysis of Almost Periodic Solution of a Discrete Multispecies Mutualism System," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).

    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. Goharrizi, Amin Yazdanpanah & Khaki-Sedigh, Ali & Sepehri, Nariman, 2009. "Observer-based adaptive control of chaos in nonlinear discrete-time systems using time-delayed state feedback," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2448-2455.
    2. Tsai, Shun-Hung & Li, Tzuu-Hseng S., 2009. "Robust fuzzy control of a class of fuzzy bilinear systems with time-delay," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2028-2040.
    3. Guan, Zhi-Hong & Zhang, Hao & Yang, Shuang-Hua, 2008. "Robust passive control for Internet-based switching systems with time-delay," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 479-486.
    4. Ye, Zhiyong & Ji, Huihui & Zhang, He, 2016. "Passivity analysis of Markovian switching complex dynamic networks with multiple time-varying delays and stochastic perturbations," Chaos, Solitons & Fractals, Elsevier, vol. 83(C), pages 147-157.

    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:wly:jnljam:v:2012:y:2012:i:1:n:237430. 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4185 .

    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.