• DocumentCode
    1243068
  • Title

    Convexity of a frequency response are associated with a stable entire function

  • Author

    Cohen, N. ; Kogan, J.

  • Author_Institution
    Dept. of Electr. Eng., Israel Inst. of Technol., Haifa, Israel
  • Volume
    41
  • Issue
    2
  • fYear
    1996
  • fDate
    2/1/1996 12:00:00 AM
  • Firstpage
    295
  • Lastpage
    299
  • Abstract
    In this paper the authors extend the convexity results for Hurwitz polynomials reported in Hamann and Barmish (1993) to a large class of entire functions. This class includes all the Hurwitz quasi-polynomials. The authors show that the origin may fail to be in the interior of the inner frequency response set of a Hurwitz quasi-polynomial and state a sufficient condition which prevents this from happening
  • Keywords
    frequency response; polynomials; Hurwitz quasi-polynomials; convexity; frequency response; stable entire function; sufficient condition; Clocks; Frequency response; Geometry; Linear systems; Mathematics; Nonlinear systems; Polynomials; Stability analysis; Statistics; Sufficient conditions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.481551
  • Filename
    481551