• DocumentCode
    790788
  • Title

    The asymptotic stability of linear autonomous systems with commensurate time delays

  • Author

    Su, Juing-Huei

  • Author_Institution
    Mil. Integrated Commun. Command, Panchiao, Taiwan
  • Volume
    40
  • Issue
    6
  • fYear
    1995
  • fDate
    6/1/1995 12:00:00 AM
  • Firstpage
    1114
  • Lastpage
    1117
  • Abstract
    The asymptotic stability of linear systems with commensurate time delays is studied. Algorithms are given to check if a given system is asymptotically stable independent of delay or to determine the largest delay time the system can tolerate to preserve its asymptotic stability. These algorithms are simple to apply since they require only to find the eigenvalues of two specially constructed matrices and some simple mathematical calculations
  • Keywords
    asymptotic stability; delay systems; delays; eigenvalues and eigenfunctions; asymptotic stability; commensurate time delays; eigenvalues; linear autonomous systems; Asymptotic stability; Control systems; Delay effects; Delay systems; Eigenvalues and eigenfunctions; Linear systems; Polynomials; Stability criteria; Sufficient conditions; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.388696
  • Filename
    388696