• DocumentCode
    1969183
  • Title

    The complex stability radius of discrete-time systems and symplectic pencils

  • Author

    Hinrichsen, D. ; Son, N.K.

  • Author_Institution
    Inst. fuer Dynamische Syst., Bremen Univ., West Germany
  • fYear
    1989
  • fDate
    13-15 Dec 1989
  • Firstpage
    2265
  • Abstract
    The authors introduce and analyze robustness measures for the stability of discrete-time systems x(t+1)=Ax( t) under parameter perturbations of the form AA+BDC where B,C are given matrices. In particular, the authors characterize the complex stability radius of the perturbed system x(t+1)=(A+BDC) x(t), D unknown, via an associated symplectic pencil, and present an algorithm for the computation of that radius
  • Keywords
    discrete time systems; stability; complex stability radius; discrete-time systems; parameter perturbations; robustness measures; symplectic pencils; Closed loop systems; Controllability; Difference equations; Mathematics; Observability; Output feedback; Robust stability; Robustness; Stability analysis; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
  • Conference_Location
    Tampa, FL
  • Type

    conf

  • DOI
    10.1109/CDC.1989.70573
  • Filename
    70573