IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/898260.html
   My bibliography  Save this article

Improved Results on Robust Stability for Systems with Interval Time-Varying Delays and Nonlinear Perturbations

Author

Listed:
  • Xin Zhou
  • Hexin Zhang
  • Xiaoxiang Hu
  • Junjun Hui
  • Tianmei Li

Abstract

This paper investigated delay-dependent robust stability criteria for systems with interval time-varying delays and nonlinear perturbations. A delay-partitioning approach is used in this paper, the delay-interval is partitioned into multiple equidistant subintervals, a new Lyapunov-Krasovskii (L-K) functional contains some triple-integral terms, and augment terms are introduced on these intervals. Then, by using integral inequalities method together with free-weighting matrix approach, a new less conservative delay-dependent stability criterion is formulated in terms of linear matrix inequalities (LMIs), which can be easily solved by optimization algorithms. Numerical examples are given to show the effectiveness and the benefits of the proposed method.

Suggested Citation

  • Xin Zhou & Hexin Zhang & Xiaoxiang Hu & Junjun Hui & Tianmei Li, 2014. "Improved Results on Robust Stability for Systems with Interval Time-Varying Delays and Nonlinear Perturbations," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-7, June.
    • Handle: RePEc:hin:jnlmpe:898260
    DOI: 10.1155/2014/898260
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2014/898260.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2014/898260.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/898260?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
    ---><---

    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:hin:jnlmpe:898260. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    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.