IDEAS home Printed from https://ideas.repec.org/a/hin/jnlaaa/381791.html
   My bibliography  Save this article

Robust Stability and Stability Radius for Variational Control Systems

Author

Listed:
  • Bogdan Sasu

Abstract

We consider an integral variational control system on a Banach space and we study the connections between its uniform exponential stability and the stability, where and are Banach function spaces. We identify the viable classes of input spaces and output spaces related to the exponential stability of systems and provide optimization techniques with respect to the input space. We analyze the robustness of exponential stability in the presence of structured perturbations. We deduce general estimations for the lower bound of the stability radius of a variational control system in terms of input-output operators acting on translation-invariant spaces. We apply the main results at the study of the exponential stability of nonautonomous systems and analyze in the nonautonomous case the robustness of this asymptotic property.

Suggested Citation

  • Bogdan Sasu, 2008. "Robust Stability and Stability Radius for Variational Control Systems," Abstract and Applied Analysis, Hindawi, vol. 2008, pages 1-29, April.
    • Handle: RePEc:hin:jnlaaa:381791
    DOI: 10.1155/2008/381791
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AAA/2008/381791.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AAA/2008/381791.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2008/381791?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:jnlaaa:381791. 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.