• DocumentCode
    3498531
  • Title

    Balanced representations and approximation of linear systems

  • Author

    Weiland, Siep

  • Author_Institution
    Dept. of Math., Groningen Univ., Netherlands
  • fYear
    1989
  • fDate
    13-15 Dec 1989
  • Firstpage
    1334
  • Abstract
    The notion of a balanced state space is generalized for the class of L2-trajectories of finite-dimensional, linear, time-invariant systems. Necessary and sufficient conditions are given for the existence of a state-space representation which is balanced with respect to general quadratic measures on the external behavior of systems in this class. In particular, balanced representations are derived for nonstable systems, and it is shown that traditional balanced representations are obtained as a special case
  • Keywords
    control system analysis; linear systems; state-space methods; approximation; balanced representations; finite dimensional systems; linear systems; necessary conditions; state space; sufficient conditions; time-invariant systems; Asymptotic stability; Flexible structures; Linear approximation; Linear systems; Mathematics; Observability; Riccati equations; State-space methods; Sufficient conditions; Time invariant systems;
  • 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.1989.70356
  • Filename
    70356
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3498531