• DocumentCode
    404573
  • Title

    On computing the L2-induced norm of finite-horizon systems

  • Author

    Bamieh, Bassam

  • Author_Institution
    Dept. of Mech. Eng., California Univ., Santa Barbara, CA, USA
  • Volume
    2
  • fYear
    2003
  • fDate
    9-12 Dec. 2003
  • Firstpage
    1860
  • Abstract
    We present a bisection type algorithm for computing the L2-induced norm of a linear time invariant system over a finite time horizon. The main difficulty in using bisection algorithms for finite horizon norm computation, namely the discreteness of the spectrum, is circumvented by using a winding number method. We derive an integral formula that counts the number of singular values of the finite horizon operator that are larger than a certain pre-specified level.
  • Keywords
    H∞ control; integral equations; linear systems; multidimensional systems; sampled data systems; L2-induced norm; bisection type algorithm; finite-horizon systems; linear time invariant system; winding number method; Control systems; Delay effects; Delay systems; Infinite horizon; Integral equations; MIMO; Mechanical engineering; Optimal control; Testing; Time invariant systems;
  • 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.2003.1272884
  • Filename
    1272884
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=404573