IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i5p516-d508875.html
   My bibliography  Save this article

Rapid Exponential Stabilization of Nonlinear Wave Equation Derived from Brain Activity via Event-Triggered Impulsive Control

Author

Listed:
  • Mohsen Dlala

    (Department of Mathematics, College of Sciences, Qassim University, Buraidah 51452, Saudi Arabia)

  • Adarey Saud Almutairi

    (Department of Mathematics, College of Science and Arts, Qassim University, Al Bukairiyah 51941, Saudi Arabia)

Abstract

This paper investigates the problem of rapid exponential stabilization for damped wave equations. Based on a new event-triggered impulsive control (ETIC) method, impulsive control was designed to solve the rapid exponential stabilization of a class of damped wave equations derived from brain activity. The effectiveness of our control was verified through a numerical example.

Suggested Citation

  • Mohsen Dlala & Adarey Saud Almutairi, 2021. "Rapid Exponential Stabilization of Nonlinear Wave Equation Derived from Brain Activity via Event-Triggered Impulsive Control," Mathematics, MDPI, vol. 9(5), pages 1-11, March.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:5:p:516-:d:508875
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/5/516/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/5/516/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Magdi S. Mahmoud & Bilal J. Karaki, 2019. "Event-based networked control scheme for two-wheeled systems," Journal of Advances in Technology and Engineering Research, A/Professor Akbar A. Khatibi, vol. 5(4), pages 151-158.
    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.

      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:gam:jmathe:v:9:y:2021:i:5:p:516-:d:508875. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.