• DocumentCode
    1240021
  • Title

    Characterization of zeros in two-frequency-scale systems

  • Author

    Oloomi, Hossein M. ; Sawan, Mahmoud E.

  • Author_Institution
    Dept. of Electr. Eng., Purdue Univ., Fort Wayne, IN, USA
  • Volume
    40
  • Issue
    1
  • fYear
    1995
  • fDate
    1/1/1995 12:00:00 AM
  • Firstpage
    92
  • Lastpage
    96
  • Abstract
    We study the asymptotic behavior of the zeros of a two-frequency-scale transfer function in terms of the zeros of its slow and fast transfer functions. By introducing the notion of type index, we will show that all zeros of a two-frequency-scale transfer function with the type index of either ν⩾0 or ν=-1 can be completely characterized in a manner that is quite similar to the characterization of the poles. We also give a partial characterization for all other zeros in terms of the cardinality of their zero sets
  • Keywords
    poles and zeros; transfer functions; asymptotic behavior; fast transfer functions; slow transfer functions; two-frequency-scale systems; two-frequency-scale transfer function; type index; zero characterization; zero set cardinality; Control theory; Frequency domain analysis; H infinity control; Hafnium; Performance analysis; Poles and zeros; Polynomials; Testing; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.362895
  • Filename
    362895