IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v6y2018i11p232-d179256.html
   My bibliography  Save this article

Error Bound for Non-Zero Initial Condition Using the Singular Perturbation Approximation Method

Author

Listed:
  • Adnan Daraghmeh

    (Department of Mathematics, Faculty of Science, An-Najah National University, Nablus 44830, Palestine)

  • Naji Qatanani

    (Department of Mathematics, Faculty of Science, An-Najah National University, Nablus 44830, Palestine)

Abstract

In this article, we present up to date results on the balanced model reduction techniques for linear control systems, in particular the singular perturbation approximation. One of the most important features of this method is it allows for an a priori L 2 and H ∞ bounds for the approximation error. This method has been successfully applied for systems with homogeneous initial conditions, however, the main focus in this work is to derive an L 2 error bound for singular perturbation approximation for system with inhomogeneous initial conditions, extending the work by Antoulas et al. The theoretical results are validated numerically.

Suggested Citation

  • Adnan Daraghmeh & Naji Qatanani, 2018. "Error Bound for Non-Zero Initial Condition Using the Singular Perturbation Approximation Method," Mathematics, MDPI, vol. 6(11), pages 1-16, October.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:11:p:232-:d:179256
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/6/11/232/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/6/11/232/
    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:6:y:2018:i:11:p:232-:d:179256. 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.