IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-319-30379-6_33.html
   My bibliography  Save this book chapter

Stability Properties of Switched Singular Systems Subject to Impulsive Effects

In: Mathematical and Computational Approaches in Advancing Modern Science and Engineering

Author

Listed:
  • Mohamad S. Alwan

    (University of Waterloo, Department of Applied Mathematics)

  • Humeyra Kiyak

    (University of Waterloo, Department of Applied Mathematics)

  • Xinzhi Liu

    (University of Waterloo, Department of Applied Mathematics)

Abstract

This paper addresses impulsive switched singular systems Impulsive switched singular systems with nonlinear perturbation term. The main theme is to establish exponential stability Exponential stability of the systems where the impulses are of fixed time type and treated as perturbation. We first establish the exponential stability of a single-mode impulsive systems using the Lyapunov method Lyapunov method . We have observed that if the underlying continuous system is stable and the impulses are applied slowly, then it is guaranteed that the impulsive system maintains the stability property. Later, a switched system with impulsive effects is considered. The method of multiple Lyapunov function Multiple Lyapunov functions and average dwell time Average dwell time switching signal are used. We have noticed that if all subsystems are exponentially stable and the average dwell time is sufficiently large, then the impulsive switched system is exponentially stable. Numerical examples with simulations are given to illustrate the effectiveness of the proposed theoretical results.

Suggested Citation

  • Mohamad S. Alwan & Humeyra Kiyak & Xinzhi Liu, 2016. "Stability Properties of Switched Singular Systems Subject to Impulsive Effects," Springer Books, in: Jacques Bélair & Ian A. Frigaard & Herb Kunze & Roman Makarov & Roderick Melnik & Raymond J. Spiteri (ed.), Mathematical and Computational Approaches in Advancing Modern Science and Engineering, pages 355-365, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-30379-6_33
    DOI: 10.1007/978-3-319-30379-6_33
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:spr:sprchp:978-3-319-30379-6_33. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.