• DocumentCode
    2830288
  • Title

    Stability of a real polynomial set with coefficients in a weighted Lp domain

  • Author

    Soh, C.B.

  • Author_Institution
    Sch. of Electr. & Electron. Eng., Nanyang Technol. Inst., Singapore
  • fYear
    1991
  • fDate
    11-14 Jun 1991
  • Firstpage
    1097
  • Abstract
    N.K. Bose and K.D. Kim (1989) attempted to show that the strict Hurwitz property of a family of polynomials having real coefficients in a Lp domain for a fixed integer p∈(1, ∞) only requires the checking of eight combinations of fixed polynomials to be strictly Hurwitz. While the main result for p=1 is correct, the generalization to p>1 is incorrect. New necessary and sufficient conditions for the stability of a real polynomial set with coefficients in a weighted Lp domain for a fixed real p∈(0, ∞) are derived. The results of Kharitonov are obtained as a special case of p=∞
  • Keywords
    polynomials; stability; Kharitonov results; real polynomial set; stability; strict Hurwitz property; weighted Lp domain; Constraint optimization; Equations; Polynomials; Stability; Sufficient conditions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Circuits and Systems, 1991., IEEE International Sympoisum on
  • Print_ISBN
    0-7803-0050-5
  • Type

    conf

  • DOI
    10.1109/ISCAS.1991.176557
  • Filename
    176557