IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/347210.html
   My bibliography  Save this article

Adaptive Feedback Control for Chaos Control and Synchronization for New Chaotic Dynamical System

Author

Listed:
  • M. M. El-Dessoky
  • M. T. Yassen

Abstract

This paper investigates the problem of chaos control and synchronization for new chaotic dynamical system and proposes a simple adaptive feedback control method for chaos control and synchronization under a reasonable assumption. In comparison with previous methods, the present control technique is simple both in the form of the controller and its application. Based on Lyapunov's stability theory, adaptive control law is derived such that the trajectory of the new system with unknown parameters is globally stabilized to the origin. In addition, an adaptive control approach is proposed to make the states of two identical systems with unknown parameters asymptotically synchronized. Numerical simulations are shown to verify the analytical results.

Suggested Citation

  • M. M. El-Dessoky & M. T. Yassen, 2012. "Adaptive Feedback Control for Chaos Control and Synchronization for New Chaotic Dynamical System," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-12, June.
    • Handle: RePEc:hin:jnlmpe:347210
    DOI: 10.1155/2012/347210
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2012/347210.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2012/347210.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2012/347210?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
    ---><---

    Citations

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


    Cited by:

    1. Pal, Pikaso & Mukherjee, V. & Alemayehu, Hinsermu & Jin, Gang Gyoo & Feyisa, Gosa, 2021. "Generalized adaptive backstepping sliding mode control for synchronizing chaotic systems with uncertainties and disturbances," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 190(C), pages 793-807.

    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:347210. 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.