IDEAS home Printed from https://ideas.repec.org/a/hin/jnddns/4820351.html
   My bibliography  Save this article

Stability Analysis of a Class of Neural Networks with State-Dependent State Delay

Author

Listed:
  • Yue Chen
  • Jin-E Zhang

Abstract

The differential equations with state-dependent delay are very important equations because they can describe some problems in the real world more accurately. Due to the complexity of state-dependent delay, it also brings challenges to the research. The value of delay varying with the state is the difference between state-dependent delay and time-dependent delay. It is impossible to know exactly in advance how far historical state information is needed, and then the problem of state-dependent delay is more complicated compared with time-dependent delay. The dominating work of this paper is to solve the stability problem of neural networks equipped with state-dependent state delay. We use the purely analytical method to deduce the sufficient conditions for local exponential stability of the zero solution. Finally, a few numerical examples are presented to prove the availability of our results.

Suggested Citation

  • Yue Chen & Jin-E Zhang, 2020. "Stability Analysis of a Class of Neural Networks with State-Dependent State Delay," Discrete Dynamics in Nature and Society, Hindawi, vol. 2020, pages 1-9, May.
    • Handle: RePEc:hin:jnddns:4820351
    DOI: 10.1155/2020/4820351
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/DDNS/2020/4820351.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/DDNS/2020/4820351.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2020/4820351?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:jnddns:4820351. 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.