IDEAS home Printed from https://ideas.repec.org/a/taf/tsysxx/v50y2019i7p1368-1377.html
   My bibliography  Save this article

Further results on exponential stability of functional differential equations

Author

Listed:
  • Pham Huu Anh Ngoc
  • Cao Thanh Tinh
  • Thai Bao Tran

Abstract

General non-linear functional differential equations are considered. New explicit criteria for the exponential stability are presented. The stability criteria given in this paper include many existing results as particular cases. In particular, they unify, generalise and improve some ones published recently in [Ngoc, P. H. A. (2012). On exponential stability of non-linear differential systems with time-varying delay. Applied Mathematics Letters, 25(9), 1208–1213 and Ngoc, P. H. A. (2013b). Novel criteria for exponential stability of functional differential equations. Proceedings of the American Mathematical Society, 141(9), 3083–3091]. Two examples are given to show the effectiveness and advantage of the obtained results.

Suggested Citation

  • Pham Huu Anh Ngoc & Cao Thanh Tinh & Thai Bao Tran, 2019. "Further results on exponential stability of functional differential equations," International Journal of Systems Science, Taylor & Francis Journals, vol. 50(7), pages 1368-1377, May.
    • Handle: RePEc:taf:tsysxx:v:50:y:2019:i:7:p:1368-1377
    DOI: 10.1080/00207721.2019.1615570
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/00207721.2019.1615570
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/00207721.2019.1615570?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. Chunxiang Li & Lijuan Shen & Fangshu Hui & Wen Luo & Zhongliang Wang, 2023. "Mean Square Exponential Stability of Stochastic Delay Differential Systems with Logic Impulses," Mathematics, MDPI, vol. 11(7), pages 1-17, March.

    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:7:p:1368-1377. 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.