• DocumentCode
    843339
  • Title

    The solution of the matrix polynomial equation A(s)X(s) + B(s)Y(s) = C(s)

  • Author

    Feinstein, J. ; Bar-Ness, Y.

  • Author_Institution
    Pratt Institute, Brooklyn, NY, USA
  • Volume
    29
  • Issue
    1
  • fYear
    1984
  • fDate
    1/1/1984 12:00:00 AM
  • Firstpage
    75
  • Lastpage
    77
  • Abstract
    This note presents an algorithm for finding the solution {X(s), Y(s)} of the matrix polynomial equation A(s)X(s) + B(s)Y(s) = C(s) . Since the solution, when it exists, is not unique we will find the solution for which the rows of X(s) have a minimal possible degree. This procedure will result in a unique solution that is obtained by solving a set of linear equations. An example is given to illustrate the procedure.
  • Keywords
    Polynomial matrices; Colored noise; Control systems; Controllability; Linear systems; Nonlinear equations; Polynomials; Stability; Stochastic processes; Stochastic resonance; Stochastic systems;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1984.1103386
  • Filename
    1103386
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=843339