• DocumentCode
    1376516
  • Title

    Convolution and Hankel operator norms for linear systems

  • Author

    Wilson, David A.

  • Author_Institution
    Dept. of Electr. & Electron. Eng., Leeds Univ., UK
  • Volume
    34
  • Issue
    1
  • fYear
    1989
  • fDate
    1/1/1989 12:00:00 AM
  • Firstpage
    94
  • Lastpage
    97
  • Abstract
    Some norms are derived for convolution and Hankel operators associated with linear, time-invariant systems. In certain cases, these norms are shown to be identical. The tightest possible bound has been obtained for the absolute magnitude of the Euclidean 2 or ∞ norm of the time-domain response of a multioutput system to certain classes of input disturbance
  • Keywords
    control system analysis; control system synthesis; linear systems; ∞ norm; Euclidean 2 norm; Hankel operator norms; control system analysis; control system synthesis; convolution operator norms; linear systems; multioutput system; time-domain response; time-invariant systems; Control system analysis; Control systems; Controllability; Convolution; Eigenvalues and eigenfunctions; Frequency domain analysis; Integral equations; Linear systems; Observability; Vectors;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.8655
  • Filename
    8655
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1376516