• DocumentCode
    1070182
  • Title

    Stabilizability of linear time-varying and uncertain linear systems

  • Author

    Rotea, Mario A. ; Khargonekar, Pramod P.

  • Author_Institution
    Dept. of Electr. Eng., Minnesota Univ., Minneapolis, MN, USA
  • Volume
    33
  • Issue
    9
  • fYear
    1988
  • fDate
    9/1/1988 12:00:00 AM
  • Firstpage
    884
  • Lastpage
    887
  • Abstract
    Feedback stabilization of linear time-varying and uncertain linear systems is considered. It is proved that given a stabilizing dynamic linear state-feedback controller, one can always construct a stabilizing nondynamic linear state-feedback controller. A similar result is shown for uncertain linear systems. A linear time-varying system can be stabilized by dynamic output feedback if and only if it admits a coprime factorization
  • Keywords
    feedback; linear systems; stability; time-varying systems; coprime factorization; linear systems; stabilizing dynamic linear state-feedback controller; time varying systems; uncertain systems; Equations; Linear systems; Matrices; Matrix decomposition; Output feedback; Polynomials; Sufficient conditions; Time varying systems; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.1325
  • Filename
    1325