IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/5512094.html
   My bibliography  Save this article

Adaptive Control of a New Chaotic Financial System with Integer Order and Fractional Order and Its Identical Adaptive Synchronization

Author

Listed:
  • Paul Yaovi Dousseh
  • Cyrille Ainamon
  • Clément Hodévèwan Miwadinou
  • Adjimon Vincent Monwanou
  • Jean Bio Chabi Orou

Abstract

In this paper, adaptive control and adaptive synchronization of an integer and fractional order new financial system with unknown constant parameters are studied. Based on Lyapunov’s stability theory, an adaptive control law is designed to asymptotically stabilize the state variables of the system to the origin in integer and fractional order cases. By the same theory, an adaptive synchronization law is designed to perform the identical synchronization of the new financial system in the cases of integer and fractional order with unknown constant parameters. Numerical simulations are carried out in order to show the efficiency of the theoretical results.

Suggested Citation

  • Paul Yaovi Dousseh & Cyrille Ainamon & Clément Hodévèwan Miwadinou & Adjimon Vincent Monwanou & Jean Bio Chabi Orou, 2021. "Adaptive Control of a New Chaotic Financial System with Integer Order and Fractional Order and Its Identical Adaptive Synchronization," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-15, March.
    • Handle: RePEc:hin:jnlmpe:5512094
    DOI: 10.1155/2021/5512094
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2021/5512094.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2021/5512094.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2021/5512094?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. Miwadinou, C.H. & Olabodé, D.L. & Monwanou, A.V. & Enjieu Kadji, H.G. & Chabi Orou, J.B., 2023. "Nonlinear dynamics and passive control of GLYCOLYTIC oscillations," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).

    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:5512094. 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.