• DocumentCode
    1066291
  • Title

    Stability of x(t)=Ax(t)+Bx (t-τ)

  • Author

    Mori, T. ; Kokame, H.

  • Author_Institution
    Autom. Res. Lab., Kyoto Univ., Japan
  • Volume
    34
  • Issue
    4
  • fYear
    1989
  • fDate
    4/1/1989 12:00:00 AM
  • Firstpage
    460
  • Lastpage
    462
  • Abstract
    A stability criterion for linear time-delay systems described by a differential difference equation of the form dx(t)=Ax(t)+Bx(t -τ) is proposed. The result obtained includes information on the size of the delay and therefore can be a delay-dependent stability condition. Its relation to existing delay-independent stability criteria is also discussed
  • Keywords
    delays; differential equations; linear systems; stability criteria; delay-dependent stability; differential difference equation; linear time-delay systems; stability criterion; Automation; Delay; Difference equations; Differential equations; Eigenvalues and eigenfunctions; Laboratories; Linear matrix inequalities; Magnetooptic recording; Stability criteria; Testing;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.28025
  • Filename
    28025