• DocumentCode
    1241369
  • Title

    Comment, with reply, on "Vertex implications of stability for a class of delay-differential interval system" by K.D. Kim and N.K. Bose

  • Author

    Olbrot, A.W. ; Polis, M.P. ; Igwe, C.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Wayne State Univ., Detroit, MI, USA
  • Volume
    39
  • Issue
    1
  • fYear
    1992
  • Firstpage
    68
  • Lastpage
    70
  • Abstract
    The commenters disagree with the claim by K.D. Kim and N.K. Bose (see ibid., vol.37, no.7, p.969-972, 1990) that for an important special case of delay-differential systems when the characteristic equation is describable by certain quasi-polynomials, the vertex implication for stability does hold. The commenters show that this claim is not true. What may be true is that the vertex implication holds for the very limited case of systems which are known as stable independent of delay. The authors´ reply is included.<>
  • Keywords
    delay-differential systems; stability; characteristic equation; delay; delay-differential systems; quasi-polynomials; stability; vertex implication; Circuits; Delay effects; Delay systems; Equations; H infinity control; Polynomials; Stability; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7122
  • Type

    jour

  • DOI
    10.1109/81.109248
  • Filename
    109248