IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i13p1497-d582601.html
   My bibliography  Save this article

Efficient Algorithm for the Computation of the Solution to a Sparse Matrix Equation in Distributed Control Theory

Author

Listed:
  • Leonardo Pedroso

    (Institute for Systems and Robotics, Instituto Superior Técnico, Universidade de Lisboa, 1049-001 Lisboa, Portugal)

  • Pedro Batista

    (Institute for Systems and Robotics, Instituto Superior Técnico, Universidade de Lisboa, 1049-001 Lisboa, Portugal)

Abstract

In this short communication, an algorithm for efficiently solving a sparse matrix equation, which arises frequently in the field of distributed control and estimation theory, is proposed. The efficient algorithm stems from the fact that the sparse equation at hand can be reduced to a system of linear equations. The proposed algorithm is shown to require significantly fewer floating point operations than the state-of-the-art solution. The proposed solution is applied to a real-life example, which models a wide range of industrial processes. The experimental results show that the solution put forward allows for a significant increase in efficiency in relation to the state-of-the-art solution. The significant increase in efficiency of the presented algorithm allows for a valuable widening of the applications of distributed estimation and control.

Suggested Citation

  • Leonardo Pedroso & Pedro Batista, 2021. "Efficient Algorithm for the Computation of the Solution to a Sparse Matrix Equation in Distributed Control Theory," Mathematics, MDPI, vol. 9(13), pages 1-7, June.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:13:p:1497-:d:582601
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/13/1497/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/13/1497/
    Download Restriction: no
    ---><---

    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:gam:jmathe:v:9:y:2021:i:13:p:1497-:d:582601. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.