IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/4720044.html
   My bibliography  Save this article

Results on Boundary Control for Parabolic Systems Using Backstepping Method

Author

Listed:
  • K. Mathiyalagan
  • T. Renugadevi
  • A. Shree Nidhi
  • Qingling Wang

Abstract

This paper focuses on the stabilization problem for the linear parabolic system using the backstepping method. The exponentially stability results for considered parabolic system are derived in two cases with Dirichlet and Neumann local terms. Also, the boundary conditions for the problem is assumed to be mixed or Robin-type boundary conditions. The main aim is to achieve the stability of the considered system using the backstepping method with help of Volterra integral transformation. The explicit solutions of kernel functions in integral transformation is obtained by using Laplace transform and designed a boundary control law to the closed-loop system. Finally, the effectiveness and applicability of the derived results are validated through a single-species pattern generation model.

Suggested Citation

  • K. Mathiyalagan & T. Renugadevi & A. Shree Nidhi & Qingling Wang, 2022. "Results on Boundary Control for Parabolic Systems Using Backstepping Method," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-13, January.
    • Handle: RePEc:hin:jnlmpe:4720044
    DOI: 10.1155/2022/4720044
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/mpe/2022/4720044.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/mpe/2022/4720044.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/4720044?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:4720044. 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.