• DocumentCode
    2047934
  • Title

    A new bound of the ℒ2[0, T]-induced norm and applications to model reduction

  • Author

    Sznaier, M. ; Doherty, A.C. ; Barahona, M. ; Mabuchi, H. ; Doyle, J.C.

  • Author_Institution
    Dept. of Electr. Eng., Pennsylvania State Univ., University Park, PA, USA
  • Volume
    2
  • fYear
    2002
  • fDate
    2002
  • Firstpage
    1180
  • Abstract
    We present a simple bound on the finite horizon L2[0, T]-induced norm of a linear time-invariant (LTI), not necessarily stable system which can be efficiently computed by calculating the H∞ norm of a shifted version of the original operator. As an application, we show how to use this bound to perform model reduction of unstable systems over a finite horizon. The technique is illustrated with a non-trivial physical example relevant to the appearance of time-irreversible phenomena in statistical physics.
  • Keywords
    linear systems; matrix algebra; reduced order systems; H∞ norm; L2[0, T]-induced norm; finite horizon norm; linear time-invariant system; model reduction; statistical physics; time-irreversible phenomena; unstable systems; Control systems; Eigenvalues and eigenfunctions; Electronic switching systems; Frequency response; Linear matrix inequalities; Microscopy; Oscillators; Physics computing; Reduced order systems; Riccati equations;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 2002. Proceedings of the 2002
  • ISSN
    0743-1619
  • Print_ISBN
    0-7803-7298-0
  • Type

    conf

  • DOI
    10.1109/ACC.2002.1023179
  • Filename
    1023179
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2047934