IDEAS home Printed from https://ideas.repec.org/a/igg/jeoe00/v2y2013i4p16-43.html
   My bibliography  Save this article

Modeling of Nonlinear Dynamic Systems with Volterra Polynomials: Elements of Theory and Applications

Author

Listed:
  • A. S. Apartsyn

    (Energy Systems Institute, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russia)

  • S. V. Solodusha

    (Energy Systems Institute, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russia)

  • V. A. Spiryaev

    (Energy Systems Institute, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russia)

Abstract

The paper presents a review of the studies that were conducted at Energy Systems Institute (ESI) SB RAS in the field of mathematical modeling of nonlinear input-output dynamic systems with Volterra polynomials. The first part presents an original approach to identification of the Volterra kernels. The approach is based on setting special multi-parameter families of piecewise constant test input signals. It also includes a description of the respective software; presents illustrative calculations on the example of a reference dynamic system as well as results of computer modeling of real heat exchange processes. The second part of the review is devoted to the Volterra polynomial equations of the first kind. Studies of such equations were pioneered and have been carried out in the past decade by the laboratory of ill-posed problems at ESI SB RAS. A special focus in the paper is made on the importance of the Lambert function for the theory of these equations.

Suggested Citation

  • A. S. Apartsyn & S. V. Solodusha & V. A. Spiryaev, 2013. "Modeling of Nonlinear Dynamic Systems with Volterra Polynomials: Elements of Theory and Applications," International Journal of Energy Optimization and Engineering (IJEOE), IGI Global, vol. 2(4), pages 16-43, October.
    • Handle: RePEc:igg:jeoe00:v:2:y:2013:i:4:p:16-43
    as

    Download full text from publisher

    File URL: http://services.igi-global.com/resolvedoi/resolve.aspx?doi=10.4018/ijeoe.2013100102
    Download Restriction: no
    ---><---

    Citations

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


    Cited by:

    1. Yury Voscoboynikov & Svetlana Solodusha & Evgeniia Markova & Ekaterina Antipina & Vasilisa Boeva, 2022. "Identification of Quadratic Volterra Polynomials in the “Input–Output” Models of Nonlinear Systems," Mathematics, MDPI, vol. 10(11), pages 1-17, May.
    2. Svetlana Solodusha & Mikhail Bulatov, 2021. "Integral Equations Related to Volterra Series and Inverse Problems: Elements of Theory and Applications in Heat Power Engineering," Mathematics, MDPI, vol. 9(16), pages 1-18, August.

    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:igg:jeoe00:v:2:y:2013:i:4:p:16-43. 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: Journal Editor (email available below). General contact details of provider: https://www.igi-global.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.