• DocumentCode
    3250325
  • Title

    State space formulae for the gap computation

  • Author

    Hirata, Kentaro ; Yamamoto, Yutaka ; Tannenbaum, Allen

  • Author_Institution
    Dept. of Appl. Math. & Phys., Kyoto Univ., Japan
  • Volume
    4
  • fYear
    1996
  • fDate
    11-13 Dec 1996
  • Firstpage
    4585
  • Abstract
    It is widely recognized that the computation of the gap metric is equivalent to a two block Hx problem or the norm computation of a two block “Hankel+Toeplitz” operator. However, it can also be characterized as the smallest singular value of a certain Toeplitz operator. We show here a simple computational method for finding such singular value and the gap between two plants using a state space skew Toeplitz type approach
  • Keywords
    Hankel matrices; optimal control; singular value decomposition; state-space methods; transfer function matrices; Hankel operator; Toeplitz operator; block Hx problem; gap metric; rational transfer function; singular value; state space; Concrete; Equations; Hydrogen; Military computing; Physics; Poles and zeros; State-space methods; Transfer functions; Uncertainty;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
  • Conference_Location
    Kobe
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-3590-2
  • Type

    conf

  • DOI
    10.1109/CDC.1996.577591
  • Filename
    577591
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3250325