• DocumentCode
    1751732
  • Title

    A semi-infinite optimization problem in harmonic analysis of uncertain systems

  • Author

    Jönsson, Ulf T. ; Kao, Chung-Yao ; Megretski, Alexandre

  • Author_Institution
    R. Inst. of Technol., Stockholm, Sweden
  • Volume
    4
  • fYear
    2001
  • fDate
    2001
  • Firstpage
    3029
  • Abstract
    Systems analysis frequently results in feasibility problems. We discuss the case when the feasibility problem involves self-adjoint operators defined on the space of square integrable periodic functions. We show that such feasibility problems also appear as conditions for existence of periodic solutions to periodically forced uncertain systems and in analysis of harmonics in uncertain feedback systems
  • Keywords
    eigenvalues and eigenfunctions; harmonic analysis; matrix algebra; maximum principle; network analysis; operational amplifiers; optimisation; uncertain systems; feasibility problems; harmonic analysis; linear matrix inequalities; semi-infinite optimization problem; state space realization; uncertain systems; Control system synthesis; Frequency; Harmonic analysis; Linear matrix inequalities; Nonlinear systems; Space technology; Stability analysis; State-space methods; Symmetric matrices; Uncertain systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 2001. Proceedings of the 2001
  • Conference_Location
    Arlington, VA
  • ISSN
    0743-1619
  • Print_ISBN
    0-7803-6495-3
  • Type

    conf

  • DOI
    10.1109/ACC.2001.946379
  • Filename
    946379