IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v269y2015icp17-22.html
   My bibliography  Save this article

Feedback control for some solutions of the sine-Gordon equation

Author

Listed:
  • Porubov, A.V.
  • Fradkov, A.L.
  • Andrievsky, B.R.

Abstract

Evolution of an initial localized bell-shaped state for the sine-Gordon equation is considered. It is obtained numerically that variation in the parameters of the localized input gives rise to different propagating waves as time goes. The speed gradient feedback control method is employed to achieve unified wave profile weakly dependent on initial conditions. Two speed-gradient like algorithms are developed and compared. It is shown that the algorithm using coefficient at the second spatial derivative term in the sine-Gordon equation allows one to generate the same wave with prescribed energy from different initial states having different energies.

Suggested Citation

  • Porubov, A.V. & Fradkov, A.L. & Andrievsky, B.R., 2015. "Feedback control for some solutions of the sine-Gordon equation," Applied Mathematics and Computation, Elsevier, vol. 269(C), pages 17-22.
  • Handle: RePEc:eee:apmaco:v:269:y:2015:i:c:p:17-22
    DOI: 10.1016/j.amc.2015.07.040
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300315009595
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.amc.2015.07.040?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Chukwuma Ogbonnaya & Chamil Abeykoon & Adel Nasser & Ali Turan, 2021. "A Computational Approach to Solve a System of Transcendental Equations with Multi-Functions and Multi-Variables," Mathematics, MDPI, vol. 9(9), pages 1-13, April.
    2. Porubov, A.V. & Bondarenkov, R.S. & Bouche, D. & Fradkov, A.L., 2018. "Two-step shock waves propagation for isothermal Euler equations," Applied Mathematics and Computation, Elsevier, vol. 332(C), pages 160-166.

    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:eee:apmaco:v:269:y:2015:i:c:p:17-22. 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.