• DocumentCode
    799430
  • Title

    Irreducible Jordan form realization of a rational matrix

  • Author

    Panda, S.P. ; Chen, C.T.

  • Author_Institution
    State University of New York, Stony Brook, N.Y.
  • Volume
    14
  • Issue
    1
  • fYear
    1969
  • fDate
    2/1/1969 12:00:00 AM
  • Firstpage
    66
  • Lastpage
    69
  • Abstract
    This paper presents a new method for realizing a rational transfer function matrix into an irreducible Jordan canonical form state equation. The method consists of two steps, first, to form a controllable state equation and then secondly, to obtain a controllable as well as observable realization by nonsingular transformations. If every denominator of the rational matrix is given in the factored form, then the proposed method can be carried out quite easily.
  • Keywords
    Rational matrices; Transfer function matrices; Differential equations; Eigenvalues and eigenfunctions; Kalman filters; Linear systems; Radio access networks; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1969.1099093
  • Filename
    1099093