• DocumentCode
    2404102
  • Title

    Equivalent conditions for the solvability of the infinite-dimensional LQ-problem with unbounded input and output operators

  • Author

    Van Keulen, Bert

  • Author_Institution
    Math. Inst., Groningen, Netherlands
  • fYear
    1992
  • fDate
    1992
  • Firstpage
    3121
  • Abstract
    Equivalent conditions are presented for the solvability of the infinite-horizon LQ-problem with stability for a class of infinite-dimensional systems with unbounded input and output operators, (Pritchard-Salamon class). These equivalent conditions are given in terms of a nonstandard Riccati equation and a frequency domain inequality, just as in the finite-dimensional case
  • Keywords
    frequency-domain analysis; multidimensional systems; optimal control; stability; LQ-problem; Pritchard-Salamon class; equivalent conditions; frequency domain inequality; infinite-dimensional systems; nonstandard Riccati equation; solvability; stability; Control systems; Costs; Frequency domain analysis; Hilbert space; Mathematics; Optimal control; Riccati equations; Robust control; Robust stability; Stability;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
  • Conference_Location
    Tucson, AZ
  • Print_ISBN
    0-7803-0872-7
  • Type

    conf

  • DOI
    10.1109/CDC.1992.371039
  • Filename
    371039