• DocumentCode
    1195931
  • Title

    A simple general proof of Kharitonov´s generalized stability criterion

  • Author

    Bose, N.K. ; Shi, Y.Q.

  • Volume
    34
  • Issue
    10
  • fYear
    1987
  • fDate
    10/1/1987 12:00:00 AM
  • Firstpage
    1233
  • Lastpage
    1237
  • Abstract
    In a paper published in 1978 in Russian, Kharitonov proved that the strict Hurwitz property of a set of interval polynomials having complex coefficients may be established from the strict Hurwitz property of eight extreme polynomials. The proof of this significant result is advanced using elementary concepts in circuit theory. The approach not only provides a clear and complete proof of Kharitonov´s generalized stability criterion but also has potentialities for generalization to the bivariate and, subsequently, the multivariate polynomial cases.
  • Keywords
    General circuits and systems theory; Polynomials; Routh stability; Stability; Band pass filters; Circuit stability; Circuit theory; Control system synthesis; Polynomials; Robust control; Shafts; Stability criteria; Vibration control; Writing;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-4094
  • Type

    jour

  • DOI
    10.1109/TCS.1987.1086055
  • Filename
    1086055