IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v42y2009i3p1584-1598.html
   My bibliography  Save this article

Global stabilization of some chaotic dynamical systems

Author

Listed:
  • El-Dessoky, M.M.
  • Agiza, H.N.

Abstract

In this paper, based on the theory of nonlinear differential equations and Gerschgorin theorem, a control scheme is proposed for global stabilizing the unstable equilibria of a class of chaotic systems. Using a suitable designing to the feedback gain matrix which depends on a few algebraic inequalities, chaotic orbits are suppressed and dragged to the target (system’s equilibria). The proposed scheme is successfully applied to some typical chaotic systems with different types of nonlinearities, such as Rossler system, Nuclear Spin Generator system, and Four-scroll attractor. Numerical simulation results are presented to verify our control method.

Suggested Citation

  • El-Dessoky, M.M. & Agiza, H.N., 2009. "Global stabilization of some chaotic dynamical systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1584-1598.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:3:p:1584-1598
    DOI: 10.1016/j.chaos.2009.03.028
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077909001532
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2009.03.028?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.

    References listed on IDEAS

    as
    1. Molaei, M.R. & Umut, Ömür, 2008. "Generalized synchronization of nuclear spin generator system," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 227-232.
    2. Liao, Xiaoxin & Yu, Pei, 2006. "Chaos control for the family of Rössler systems using feedback controllers," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 91-107.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Yan, Donglin & Wang, Weiyu & Chen, Qijuan, 2018. "Fractional-order modeling and dynamic analyses of a bending-torsional coupling generator rotor shaft system with multiple faults," Chaos, Solitons & Fractals, Elsevier, vol. 110(C), pages 1-15.

    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.
    1. Falahpoor, M. & Ataei, M. & Kiyoumarsi, A., 2009. "A chattering-free sliding mode control design for uncertain chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1755-1765.
    2. Al-Sawalha, Ayman, 2009. "Chaos anti-synchronization of two non-identical chaotic systems with known or fully unknown parameters," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1926-1932.
    3. Kemih, Karim, 2009. "Control of nuclear spin generator system based on passive control," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1897-1901.
    4. Ahmad, Israr, 2021. "A Lyapunov-based direct adaptive controller for the suppression and synchronization of a perturbed nuclear spin generator chaotic system," Applied Mathematics and Computation, Elsevier, vol. 395(C).
    5. Liao, Xiaoxin & Xu, F. & Wang, P. & Yu, Pei, 2009. "Chaos control and synchronization for a special generalized Lorenz canonical system – The SM system," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2491-2508.

    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:eee:chsofr:v:42:y:2009:i:3:p:1584-1598. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.