• DocumentCode
    855434
  • Title

    Matrix partial fraction expansions of rational matrices

  • Author

    Ling, Yen Lei ; Wang, Bor-Chwn

  • Author_Institution
    National Chiao Tung University, Hsinchu, Taiwan, Republic of China
  • Volume
    32
  • Issue
    4
  • fYear
    1987
  • fDate
    4/1/1987 12:00:00 AM
  • Firstpage
    330
  • Lastpage
    333
  • Abstract
    A general and rigorous derivation is made of a new formula, established recently in the literature, for matrix partial fraction expansion of a rational matrix. The procedure, by use of a minimal Jordan realization of the rational matrix, provides as a byproduct, general expressions for residue matrices in terms of products of columns of the output matrix and rows of the input matrix of the realization.
  • Keywords
    Partial fraction expansions; Rational matrices; Artificial intelligence; Computer aided software engineering; Control engineering; Genetic expression; Interpolation; Lagrangian functions; Linear systems; Polynomials; Taylor series;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1987.1104592
  • Filename
    1104592