IDEAS home Printed from https://ideas.repec.org/a/taf/tsysxx/v50y2019i2p419-431.html
   My bibliography  Save this article

Input–output finite-time stability of discrete-time systems under finite-time boundedness

Author

Listed:
  • Shuai Zhang
  • Yang Guo
  • Shicheng Wang
  • Xiaoxiang Hu
  • Xu Xie

Abstract

This paper deals with the input–output finite-time stability of discrete time-varying linear systems in the presence of finite-time boundedness. The state boundedness and output stability of this system are concerned simultaneously to avoid the large unacceptable values during certain transients. For two different classes of norm-bounded input signals, the sufficient conditions for the system satisfying both the state finite-time boundedness (FTB) and input–output finite-time stability (IO-FTS) are developed. Based on a set of linear matrix inequalities (LMIs), the controller design method via state feedback for the discrete-time system satisfying both FTB and IO-FTS is presented for the two classes of external norm-bounded input. The conditions proposed can simultaneously guarantee the state and output of closed-loop system do not exceed the boundary during the specified finite-time interval. Two examples are employed to verify the effectiveness of the proposed method.

Suggested Citation

  • Shuai Zhang & Yang Guo & Shicheng Wang & Xiaoxiang Hu & Xu Xie, 2019. "Input–output finite-time stability of discrete-time systems under finite-time boundedness," International Journal of Systems Science, Taylor & Francis Journals, vol. 50(2), pages 419-431, January.
    • Handle: RePEc:taf:tsysxx:v:50:y:2019:i:2:p:419-431
    DOI: 10.1080/00207721.2018.1554170
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/00207721.2018.1554170
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/00207721.2018.1554170?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.

    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:50:y:2019:i:2:p:419-431. 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: 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.