IDEAS home Printed from https://ideas.repec.org/a/hin/jnljam/605625.html
   My bibliography  Save this article

A Multiagent Transfer Function Neuroapproach to Solve Fuzzy Riccati Differential Equations

Author

Listed:
  • Mohammad Shazri Shahrir
  • N. Kumaresan
  • Kuru Ratnavelu
  • M. Z. M. Kamali

Abstract

A numerical solution of fuzzy quadratic Riccati differential equation is estimated using a proposed new approach for neural networks (NN). This proposed new approach provides different degrees of polynomial subspaces for each of the transfer function. This multitude of transfer functions creates unique “agents” in the structure of the NN. Hence it is named as multiagent neuroapproach (multiagent NN). Previous works have shown that results using Runge-Kutta 4th order (RK4) are reliable. The results can be achieved by solving the 1st order nonlinear differential equation (ODE) that is found commonly in Riccati differential equation. Multiagent NN shows promising results with the advantage of continuous estimation and improved accuracy that can be produced over Mabood et al. (2013), RK-4, and the existing neuromethod (NM). Numerical examples are discussed to illustrate the proposed method.

Suggested Citation

  • Mohammad Shazri Shahrir & N. Kumaresan & Kuru Ratnavelu & M. Z. M. Kamali, 2014. "A Multiagent Transfer Function Neuroapproach to Solve Fuzzy Riccati Differential Equations," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-6, May.
    • Handle: RePEc:hin:jnljam:605625
    DOI: 10.1155/2014/605625
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/JAM/2014/605625.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/JAM/2014/605625.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/605625?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:jnljam:605625. 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.