• DocumentCode
    2253597
  • Title

    Assessing stability of time-delay systems using rational systems

  • Author

    De Oliveira, Maurício C. ; Souza, Fernando O. ; Palhares, Reinaldo M.

  • Author_Institution
    Dept. of Mech. & Aerosp. Eng., Univ. of California San Diego, San Diego, CA, USA
  • fYear
    2008
  • fDate
    9-11 Dec. 2008
  • Firstpage
    4012
  • Lastpage
    4017
  • Abstract
    In this paper, we show how stability of an infinite-dimensional linear time-delay system can be assessed by studying the stability of an associated finite-dimensional linear system, constructed after substituting the exponential function in the characteristic equation of the delay-system by a high enough finite power of the bilinear transformation.
  • Keywords
    delay systems; linear systems; multidimensional systems; stability; bilinear transformation; exponential function; finite-dimensional linear system; infinite-dimensional linear time-delay system; rational system; stability assessment; Control systems; Delay; Equations; Linear systems; Stability analysis; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
  • Conference_Location
    Cancun
  • ISSN
    0191-2216
  • Print_ISBN
    978-1-4244-3123-6
  • Electronic_ISBN
    0191-2216
  • Type

    conf

  • DOI
    10.1109/CDC.2008.4739328
  • Filename
    4739328