IDEAS home Printed from https://ideas.repec.org/a/wsi/fracta/v29y2021i04ns0218348x21500973.html
   My bibliography  Save this article

Finite-Time Stability In Mean For Nabla Uncertain Fractional Order Linear Difference Systems

Author

Listed:
  • QINYUN LU

    (School of Science, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, P. R. China)

  • YUANGUO ZHU

    (School of Science, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, P. R. China)

  • BO LI

    (��School of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210023, Jiangsu, P. R. China)

Abstract

In this paper, the finite-time stability in mean for the uncertain fractional order linear time-invariant discrete systems is investigated. First, the uncertain fractional order difference equations with the nabla operators are introduced. Then, some conditions of finite-time stability in mean for the systems driven by the nabla uncertain fractional order difference equations with the fractional order 0 < ν < 1 are obtained by the property of Riemann–Liouville-type nabla difference and the generalized Gronwall inequality. Furthermore, based on these conditions, the state feedback controllers are designed. Finally, some examples are presented to illustrate the effectiveness of the results.

Suggested Citation

  • Qinyun Lu & Yuanguo Zhu & Bo Li, 2021. "Finite-Time Stability In Mean For Nabla Uncertain Fractional Order Linear Difference Systems," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(04), pages 1-12, June.
    • Handle: RePEc:wsi:fracta:v:29:y:2021:i:04:n:s0218348x21500973
    DOI: 10.1142/S0218348X21500973
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218348X21500973
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218348X21500973?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.

    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:wsi:fracta:v:29:y:2021:i:04:n:s0218348x21500973. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Tai Tone Lim (email available below). General contact details of provider: https://www.worldscientific.com/worldscinet/fractals .

    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.