IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/2835914.html
   My bibliography  Save this article

Control for Mixed-Mode Based Switched Nonlinear Systems with Time-Varying Delay

Author

Listed:
  • Zhen Liu
  • Shu Miao
  • Canbo Ye
  • Xingbo Liu

Abstract

This paper investigated performance of the switched nonlinear systems with time-varying delay, which contains mixed modes, important characteristics of switched delay systems. Most of the references ignored the existence of mixed modes in such systems, which is a fatal mistake. This paper will correct the mistake of the existing references. The mixed modes give the control for switched nonlinear delay systems a challenge. With this difficulty, we take measures to handle the effects of mixed modes on such systems and achieve the performance of such systems. Firstly, the control analysis is divided into two cases, and the sufficient conditions for the exponential decay of the Lyapunov-Krasovskii functionals are given with the integral interval approach. Secondly, the combination of average dwell-time approach and subsystem activation rate is utilized to achieve the performance for the mixed-mode based switched systems with time-varying delay. Finally, simulation examples show the efficiency of the switching control strategy.

Suggested Citation

  • Zhen Liu & Shu Miao & Canbo Ye & Xingbo Liu, 2019. "Control for Mixed-Mode Based Switched Nonlinear Systems with Time-Varying Delay," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-9, February.
    • Handle: RePEc:hin:jnlmpe:2835914
    DOI: 10.1155/2019/2835914
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2019/2835914.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2019/2835914.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2019/2835914?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:jnlmpe:2835914. 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.