• DocumentCode
    815832
  • Title

    On the determination of the order and the degree of a zero of a rational matrix

  • Author

    Vandewalle, J. ; Dewilde, P.

  • Author_Institution
    Katholieke Universiteit Leuven, Louvain, Belgium
  • Volume
    19
  • Issue
    5
  • fYear
    1974
  • fDate
    10/1/1974 12:00:00 AM
  • Firstpage
    608
  • Lastpage
    609
  • Abstract
    A simple formula for the order and the degree of a zero of a multivariable system at a point p0of the complex plane is deduced using the Laurent expansion of the transfer function at the point p0The formula avoids the need for computing the inverse or generalized inverse of the matrix, and allows easy determination of factorable elementary factors.
  • Keywords
    Linear systems, time-invariant continuous-time; Rational matrices; Artificial intelligence; Hydrogen; Linear systems; MIMO; Optimization methods; Poles and zeros; Polynomials; Transfer functions; Vectors;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1974.1100677
  • Filename
    1100677
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=815832