IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v100y1999i1d10.1023_a1021764814535.html
   My bibliography  Save this article

Decentralized Stabilizing State Feedback Controllers for a Class of Large-Scale Systems Including State Delays in the Interconnections

Author

Listed:
  • H. S. Wu

    (Hiroshima Prefectural University)

Abstract

The problem of the decentralized stabilization of a class of large-scale nonlinear and linear systems including time-varying delays in the interconnections is considered. By combining the Razumikhin-type theorem with the Lyapunov stability theory, we propose a class of decentralized state feedback controllers which can guarantee always some type of stability of large-scale time-delay systems. In this paper, we assume that the time-varying delays are continuous and bounded nonnegative functions. Furthermore, since the proposed decentralized state feedback controllers are independent of the delays, the results obtained in this paper are applicable to systems without exact knowledge of the delays, i.e., systems with perturbed delays. Finally, a numerical example is given to demonstrate the validity of the results.

Suggested Citation

  • H. S. Wu, 1999. "Decentralized Stabilizing State Feedback Controllers for a Class of Large-Scale Systems Including State Delays in the Interconnections," Journal of Optimization Theory and Applications, Springer, vol. 100(1), pages 59-87, January.
    • Handle: RePEc:spr:joptap:v:100:y:1999:i:1:d:10.1023_a:1021764814535
    DOI: 10.1023/A:1021764814535
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1023/A:1021764814535
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1023/A:1021764814535?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

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


    Cited by:

    1. M. L. Ni & M. J. Er, 2001. "Optimization Approach to the Robustness of Linear Delay Systems," Journal of Optimization Theory and Applications, Springer, vol. 111(1), pages 155-163, October.
    2. S. Shigemaru & H. S. Wu, 2001. "Decentralized Robust Tracking and Model Following for Uncertain Large-Scale Interconnected Systems," Journal of Optimization Theory and Applications, Springer, vol. 110(1), pages 35-52, July.
    3. O. M. Kown & J. H. Park, 2006. "Decentralized Guaranteed Cost Control for Uncertain Large-Scale Systems Using Delayed Feedback: LMI Optimization Approach," Journal of Optimization Theory and Applications, Springer, vol. 129(3), pages 391-414, June.

    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:joptap:v:100:y:1999:i:1:d:10.1023_a:1021764814535. 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.