• DocumentCode
    1244567
  • Title

    Necessary and sufficient conditions for quadratic stability and stabilizability of uncertain linear time-varying systems

  • Author

    Amato, Francesco ; Pironti, Alfredo ; Scala, Stefano

  • Author_Institution
    Dipartimento di Inf. e Sistemistica, Naples Univ., Italy
  • Volume
    41
  • Issue
    1
  • fYear
    1996
  • fDate
    1/1/1996 12:00:00 AM
  • Firstpage
    125
  • Lastpage
    128
  • Abstract
    In this paper we consider linear time-varying systems subject to norm bounded, one block, structured uncertainties. First, given an unforced system, we find necessary and sufficient conditions for quadratic stability; then, considered a controlled system, we provide necessary and sufficient conditions for quadratic stabilizability both for the state and the output feedback case
  • Keywords
    linear systems; stability; state feedback; time-varying systems; uncertain systems; necessary condition; output feedback; quadratic stability; state feedback; structured uncertainties; sufficient condition; time-varying systems; uncertain linear systems; Control systems; Force control; Lyapunov method; Output feedback; Riccati equations; Stability; Sufficient conditions; Time varying systems; Uncertain systems; Uncertainty;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.481616
  • Filename
    481616