• DocumentCode
    320027
  • Title

    A spectral test for observability and detectability of discrete-time linear time-varying systems

  • Author

    Peters, Marc A. ; Iglesias, Pablo A.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Johns Hopkins Univ., Baltimore, MD, USA
  • Volume
    4
  • fYear
    1997
  • fDate
    10-12 Dec 1997
  • Firstpage
    3920
  • Abstract
    The PBH test is a well known and powerful spectral test for the observability of linear time-invariant systems. In this paper we show that a similar test exists for linear time-varying systems. The test presented here involves a check over part of the spectrum of the weighted block shift known as approximate eigenvalues
  • Keywords
    asymptotic stability; discrete time systems; eigenvalues and eigenfunctions; matrix algebra; observability; time-varying systems; PBH test; approximate eigenvalues; detectability; discrete-time linear time-varying systems; observability; spectral test; weighted block shift; Contracts; Control theory; Ear; Eigenvalues and eigenfunctions; Hilbert space; Null space; Observability; Stability; System testing; Time varying systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
  • Conference_Location
    San Diego, CA
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-4187-2
  • Type

    conf

  • DOI
    10.1109/CDC.1997.652475
  • Filename
    652475