• DocumentCode
    836730
  • Title

    Stability of time-delay systems

  • Author

    Lee, T.N. ; Dianat, S.

  • Author_Institution
    George Washington University, Washington, DC, USA
  • Volume
    26
  • Issue
    4
  • fYear
    1981
  • fDate
    8/1/1981 12:00:00 AM
  • Firstpage
    951
  • Lastpage
    953
  • Abstract
    This paper gives necessary and sufficient conditions for the stability of time-delay systems of the form \\dot{x}(t)=A_{1}x(t)+A_{2}x(t-h) . These new conditions are derived by Lyapunov\´s direct method through systematic construction of the corresponding "energy" function. This function is known to exist, if a solution P_{1}(0) of the algebraic nonlinear matrix equation A_{2} =e^{[A_{1}+P_{1}(0)]h}P_{1}(0) can be determined.
  • Keywords
    Delay systems, linear; Lyapunov methods, linear systems; Artificial intelligence; Convolution; Delay effects; Differential algebraic equations; Lyapunov method; Matrices; Nonlinear equations; Stability analysis; Sufficient conditions; Vectors;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1981.1102755
  • Filename
    1102755
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=836730