IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2014y2014i1n905415.html

Existence and Stability of Almost Periodic Solution for a Stochastic Cellular Neural Network with External Perturbation

Author

Listed:
  • Hui Zhou
  • Zongfu Zhou
  • Wei Jiang

Abstract

A class of stochastic cellular neural networks with external perturbation is investigated. By employing fixed points principle and some stochastic analysis techniques, we establish some sufficient conditions for existence and exponential stability of a quadratic mean almost periodic solution of the model. The new criteria not only improve some classical results but also are applied in real problems due to the changes of external input.

Suggested Citation

  • Hui Zhou & Zongfu Zhou & Wei Jiang, 2014. "Existence and Stability of Almost Periodic Solution for a Stochastic Cellular Neural Network with External Perturbation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:905415
    DOI: 10.1155/2014/905415
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2014/905415
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/905415?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. Huang, Zaitang & Yang, Qi-Gui, 2009. "Existence and exponential stability of almost periodic solution for stochastic cellular neural networks with delay," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 773-780.
    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. Ruojun Zhang & Nan Ding & Linshan Wang, 2012. "Mean Square Almost Periodic Solutions for Impulsive Stochastic Differential Equations with Delays," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    2. Lijie Li, 2014. "Existence of Square‐Mean Almost Automorphic Solutions to Stochastic Functional Integrodifferential Equations in Hilbert Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Kashkynbayev, Ardak & Issakhanov, Alfarabi & Otkel, Madina & Kurths, Jürgen, 2022. "Finite-time and fixed-time synchronization analysis of shunting inhibitory memristive neural networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).

    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:905415. 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.