• DocumentCode
    3269083
  • Title

    Spectral factorization by symmetric extraction for semigroup state-space systems

  • Author

    Callier, Frank M. ; Winkin, Joseph J.

  • Author_Institution
    Dept. of Math., Univ. of Namur, Belgium
  • Volume
    4
  • fYear
    2002
  • fDate
    10-13 Dec. 2002
  • Firstpage
    4599
  • Abstract
    The spectral factorization problem of a scalar coercive spectral density is considered in the framework of the Callier-Desoer algebra of distributed parameter system transfer functions. Criteria for the convergence of the symmetric extraction method solving this problem are described and commented for semi-group Hilbert state-space systems with a Riesz-spectral generator.
  • Keywords
    convergence; distributed parameter systems; matrix decomposition; state-space methods; transfer functions; Callier Desoer algebra; Hilbert state space systems; Riesz spectral generator; convergence; distributed parameter system; scalar coercive spectral density; semigroup state-space systems; spectral factorization; symmetric extraction; symmetric extraction method; transfer functions; Algebra; Coercive force; Convergence; Distributed parameter systems; Feedback control; Mathematics; Optimal control; Performance analysis; System analysis and design; Transfer functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-7516-5
  • Type

    conf

  • DOI
    10.1109/CDC.2002.1185101
  • Filename
    1185101