• DocumentCode
    404355
  • Title

    Schur parametrizations and balanced realizations of real discrete-time stable all-pass systems

  • Author

    Olivi, Martine ; Marmorat, Jean-Paul ; Hanzon, Bernard ; Peeters, Ralf L M

  • Volume
    1
  • fYear
    2003
  • fDate
    9-12 Dec. 2003
  • Firstpage
    122
  • Abstract
    We investigate the parametrization issue for real discrete-time stable all-pass multivariable systems by means of a real tangential Schur algorithm. A recursive construction of balanced realizations is associated with it, that possesses a very good numerical behavior. A chart selection strategy is given which makes use of the real Schur form of the dynamic matrix. Application to rational L2-approximation is considered.
  • Keywords
    discrete time systems; function approximation; matrix algebra; multivariable systems; rational functions; realisation theory; stability; Schur parametrizations; balanced realizations; dynamic matrix; multivariable systems; rational approximation; real discrete time systems; real tangential Schur algorithm; recursive construction; stable all-pass systems; Approximation algorithms; Econometrics; Eigenvalues and eigenfunctions; Interpolation; Linear systems; MIMO; Mathematics; Reduced order systems; Stability; Transfer functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-7924-1
  • Type

    conf

  • DOI
    10.1109/CDC.2003.1272546
  • Filename
    1272546
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=404355