• DocumentCode
    829144
  • Title

    Stability criterion for a linear differential-difference system

  • Author

    Barszcz, Mafek ; Olbrot, Andrzej W.

  • Author_Institution
    Instytut Matematyki, Politechnika Warszawska, Warsaw, Poland
  • Volume
    24
  • Issue
    2
  • fYear
    1979
  • fDate
    4/1/1979 12:00:00 AM
  • Firstpage
    368
  • Lastpage
    369
  • Abstract
    A linear differential-difference system of the form \\dot{x}(t)= A_{1}x(t - \\tau ), x(t)\\in R^{n} is considered, and necessary and sufficient conditions for exponential stability with a given decay rate are derived. The conditions are given in terms of eigenvalues of the matrix A1and extend the well-known result for the scalar case.
  • Keywords
    Delay systems; Linear systems, time-invariant continuous-time; Stability; Asymptotic stability; Delay; Differential equations; Eigenvalues and eigenfunctions; Stability criteria; Sufficient conditions; Yttrium;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1979.1102016
  • Filename
    1102016
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=829144