IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/2939425.html
   My bibliography  Save this article

Finite-Time Stabilization for Stochastic Inertial Neural Networks with Time-Delay via Nonlinear Delay Controller

Author

Listed:
  • Deyi Li
  • Yuanyuan Wang
  • Guici Chen
  • Shasha Zhu

Abstract

This paper pays close attention to the problem of finite-time stabilization related to stochastic inertial neural networks with or without time-delay. By establishing proper Lyapunov-Krasovskii functional and making use of matrix inequalities, some sufficient conditions on finite-time stabilization are obtained and the stochastic settling-time function is also estimated. Furthermore, in order to achieve the finite-time stabilization, both delayed and nondelayed nonlinear feedback controllers are designed, respectively, in terms of solutions to a set of linear matrix inequalities (LMIs). Finally, a numerical example is provided to demonstrate the correction of the theoretical results and the effectiveness of the proposed control design method.

Suggested Citation

  • Deyi Li & Yuanyuan Wang & Guici Chen & Shasha Zhu, 2018. "Finite-Time Stabilization for Stochastic Inertial Neural Networks with Time-Delay via Nonlinear Delay Controller," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-11, October.
    • Handle: RePEc:hin:jnlmpe:2939425
    DOI: 10.1155/2018/2939425
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2018/2939425.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2018/2939425.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2018/2939425?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:jnlmpe:2939425. 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.