IDEAS home Printed from https://ideas.repec.org/a/taf/tsysxx/v42y2011i10p1639-1649.html
   My bibliography  Save this article

Further stability analysis on Cohen–Grossberg neural networks with time-varying and distributed delays

Author

Listed:
  • Tao Li
  • Aiguo Song
  • Shumin Fei

Abstract

The article is concerned with asymptotical stability for Cohen–Grossberg neural networks with both interval time-varying (0 ≤ τ0 ≤ τ(t) ≤ τm) and distributed delays, in which two types of distributed delays are treated: one is bounded while the other is unbounded. Through partitioning the delay intervals [0, τ0] and [τ0, τm], and choosing two augmented Lyapunov–Krasovskii functionals, some sufficient conditions are obtained to guarantee the global stability by employing the simplified free-weighting matrix method and convex combination. These stability criteria are presented in terms of linear matrix inequalities (LMIs) and can be easily checked by resorting to LMI in Matlab toolbox. Finally, three numerical examples are given to illustrate the effectiveness and reduced conservatism of the theoretical results.

Suggested Citation

  • Tao Li & Aiguo Song & Shumin Fei, 2011. "Further stability analysis on Cohen–Grossberg neural networks with time-varying and distributed delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(10), pages 1639-1649.
    • Handle: RePEc:taf:tsysxx:v:42:y:2011:i:10:p:1639-1649
    DOI: 10.1080/00207720903576514
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/00207720903576514
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/00207720903576514?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.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Shen Cong, 2014. "New stability criteria of linear singular systems with time-varying delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(9), pages 1927-1935, September.

    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:42:y:2011:i:10:p:1639-1649. 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.