IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2014y2014i1n967328.html

Global Exponential Stability of Pseudo Almost Periodic Solutions for SICNNs with Time‐Varying Leakage Delays

Author

Listed:
  • Wentao Wang
  • Bingwen Liu

Abstract

This paper is concerned with the shunting inhibitory cellular neural networks (SICNNs) with time‐varying delays in the leakage (or forgetting) terms. Under proper conditions, we employ a novel argument to establish a criterion on the global exponential stability of pseudo almost periodic solutions by using Lyapunov functional method and differential inequality techniques. We also provide numerical simulations to support the theoretical result.

Suggested Citation

  • Wentao Wang & Bingwen Liu, 2014. "Global Exponential Stability of Pseudo Almost Periodic Solutions for SICNNs with Time‐Varying Leakage Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:967328
    DOI: 10.1155/2014/967328
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2014/967328
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/967328?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
    ---><---

    References listed on IDEAS

    as
    1. Junxia Meng, 2013. "Global Exponential Stability of Positive Pseudo-Almost-Periodic Solutions for a Model of Hematopoiesis," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-7, November.
    2. Hong Zhang & Mingquan Yang, 2013. "Global Exponential Stability of Almost Periodic Solutions for SICNNs with Continuously Distributed Leakage Delays," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-14, March.
    3. Junxia Meng, 2013. "Global Exponential Stability of Positive Pseudo‐Almost‐Periodic Solutions for a Model of Hematopoiesis," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    4. Hong Zhang & Mingquan Yang, 2013. "Global Exponential Stability of Almost Periodic Solutions for SICNNs with Continuously Distributed Leakage Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Hong Zhang & Shuhua Gong & Jianying Shao, 2014. "Global Exponential Stability of Positive Almost Periodic Solutions for a Fishing Model with a Time‐Varying Delay," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Bingwen Liu & Shuhua Gong, 2013. "Periodic Solution for Impulsive Cellar Neural Networks with Time‐Varying Delays in the Leakage Terms," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    3. Wei Chen & Wentao Wang, 2014. "Global Exponential Stability of Positive Almost Periodic Solutions for a Delay Logarithmic Population Model," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).

    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:wly:jnlaaa:v:2014:y:2014:i:1:n:967328. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4058 .

    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.