• DocumentCode
    2197096
  • Title

    Stability of discrete state delay systems

  • Author

    Suh, Young Soo

  • Author_Institution
    Dept. of Electr. Eng., Ulsan Univ., South Korea
  • Volume
    5
  • fYear
    2001
  • fDate
    2001
  • Firstpage
    4727
  • Abstract
    A new method to solve a Lyapunov equation for a discrete delay system is proposed. Using this method, a Lyapunov equation can be solved from a simple linear equation and N-th power of a constant matrix, where N is the state delay. Combining a Lyapunov equation and frequency domain stability, a new stability condition is proposed. The proposed stability condition ensures stability of a discrete state delay system whose state delay is not exactly known but only known to lie in a certain interval
  • Keywords
    Lyapunov methods; delay systems; discrete systems; frequency-domain analysis; matrix algebra; stability; Lyapunov equation; constant matrix; delay systems; discrete state systems; frequency domain; stability; Control systems; Delay systems; Equations; Frequency domain analysis; Lyapunov method; Null space; Robust stability; Symmetric matrices;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
  • Conference_Location
    Orlando, FL
  • Print_ISBN
    0-7803-7061-9
  • Type

    conf

  • DOI
    10.1109/.2001.980952
  • Filename
    980952