• DocumentCode
    1176677
  • Title

    Some properties and applications of matrix continued fraction

  • Author

    Shieh, Leang-San ; Gaudiano, Frank F., Jr.

  • Volume
    22
  • Issue
    9
  • fYear
    1975
  • fDate
    9/1/1975 12:00:00 AM
  • Firstpage
    721
  • Lastpage
    728
  • Abstract
    The formulation of matrix continued fraction of three Cauer matrix forms and their dynamic state equations for linear timeinvariant multivariable circuits and systems is derived. The state-space representation formulated in this paper is a minimal realization. Applications of this method to the inversion of a rational matrix whose entries are polynomials in s and to the reduction of a multivariable system are described.
  • Keywords
    Continued fractions; General analysis and synthesis methods; Linear systems, time-invariant continuous-time; Matrix inversion; Matrix methods; Minimal realizations; Rational matrices; Circuits and systems; Equations; Helium; Hydrogen; MIMO; Polynomials;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-4094
  • Type

    jour

  • DOI
    10.1109/TCS.1975.1084121
  • Filename
    1084121