• DocumentCode
    1235010
  • Title

    The Mechanics of the Bilinear Transformation

  • Author

    Power, Henry M.

  • Volume
    10
  • Issue
    2
  • fYear
    1967
  • fDate
    6/1/1967 12:00:00 AM
  • Firstpage
    114
  • Lastpage
    116
  • Abstract
    The effect of the bilinear transformation substitution s 1 Z = -- s- on a polynomial equation nE aizi = 0 i= 0 is formulated in matrix terms. The matrices involved are formed by very simple rules. This procedure considerably facilitates calculation of the resulting s-polynomial, and makes the bilinear transformation an attractive tool for systems analysis rather than the textbook curiosity which it has been.
  • Keywords
    Algebra; Equations; Matrices; Polynomials; Stability analysis; System testing;
  • fLanguage
    English
  • Journal_Title
    Education, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9359
  • Type

    jour

  • DOI
    10.1109/TE.1967.4320248
  • Filename
    4320248