• DocumentCode
    1036672
  • Title

    Polynomial J-spectral factorization

  • Author

    Kwakernaak, H. ; Sebek, Michael

  • Author_Institution
    Dept. of Appl. Math., Twente Univ., Enschede, Netherlands
  • Volume
    39
  • Issue
    2
  • fYear
    1994
  • fDate
    2/1/1994 12:00:00 AM
  • Firstpage
    315
  • Lastpage
    328
  • Abstract
    Several algorithms are presented for the J-spectral factorization of a para-Hermitian polynomial matrix. The four algorithms that are discussed are based on diagonalization, successive factor extraction, interpolation, and the solution of an algebraic Riccati equation, respectively. The paper includes a special algorithm for the factorization of unimodular para-Hermitian polynomial matrices and deals with canonical, noncanonical, and nearly noncanonical factorizations
  • Keywords
    interpolation; matrix algebra; polynomials; algebraic Riccati equation; canonical factorizations; diagonalization; interpolation; nearly noncanonical factorizations; para-Hermitian polynomial matrix; polynomial J-spectral factorization; successive factor extraction; Automatic control; Control systems; Frequency domain analysis; Information theory; Interpolation; Mathematics; Polynomials; Riccati equations; State-space methods; Wiener filter;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.272326
  • Filename
    272326