• DocumentCode
    2187272
  • Title

    Multiobjective H2/H∞ by Banach space operator theory

  • Author

    Djouadi, S.M. ; Charalambous, C.D. ; Repperger, D.W.

  • Author_Institution
    Syst. Eng. Dept, Arkansas Univ., Little Rock, AR, USA
  • Volume
    4
  • fYear
    2001
  • fDate
    2001
  • Firstpage
    3982
  • Abstract
    Banach space duality theory and operator theory are combined to show that the optimal performance index in the multiobjective H2 /H∞ problem is equal to the operator induced norm of a particular operator. This operator is shown to act on special Banach spaces, and is a projection of a multiplication operator. Finally, under a certain continuity assumption, it is shown that there exist maximal vectors, which leads to an exact solution to the multiobjective H2/H∞ problem
  • Keywords
    Banach spaces; H∞ optimisation; matrix algebra; performance index; vectors; Banach space duality theory; Banach space operator theory; continuity assumption; maximal vectors; multiobjective H2/H∞ problem; multiplication operator; operator induced norm; optimal performance index; Algebra; Bismuth; Discrete time systems; Hilbert space; Hydrogen; Transfer functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
  • Conference_Location
    Orlando, FL
  • Print_ISBN
    0-7803-7061-9
  • Type

    conf

  • DOI
    10.1109/.2001.980511
  • Filename
    980511
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2187272