IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-981-13-9254-2_2.html
   My bibliography  Save this book chapter

Basics and Preliminaries of Time-Delay Systems

In: Dynamic Systems with Time Delays: Stability and Control

Author

Listed:
  • Ju H. Park

    (Yeungnam University, Department of Electrical Engineering)

  • Tae H. Lee

    (Chonbuk National University, Division of Electronic Engineering)

  • Yajuan Liu

    (North China Electric Power University, Control and Computer Engineering)

  • Jun Chen

    (Jiangsu Normal University, School of Electrical Engineering and Automation)

Abstract

In this chapter, we review the basic characteristics and properties of dynamic systems with time delays, and revisit remarkable research achievements made by many researchers during the last decades. In particular, we explore remarkable mathematical equations, inequalities, and lemmas which are widely used in system analysis to deal with state variables including time delays that are essentially encountered when the stability and control problems of dynamic systems and networks with time delays have been considered. We will also look at the results of Lyapunov function selection for the stability analysis of dynamic systems because the Lyapunov stability analysis method is almost the only alternative for solving the stability and control problems. Finally, we end this chapter by introducing the main issues related to stabilization of the time delay system.

Suggested Citation

  • Ju H. Park & Tae H. Lee & Yajuan Liu & Jun Chen, 2019. "Basics and Preliminaries of Time-Delay Systems," Springer Books, in: Dynamic Systems with Time Delays: Stability and Control, chapter 0, pages 23-58, Springer.
    • Handle: RePEc:spr:sprchp:978-981-13-9254-2_2
    DOI: 10.1007/978-981-13-9254-2_2
    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:978-981-13-9254-2_2. 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.