• DocumentCode
    2613964
  • Title

    Pathwise observability and controllability are decidable

  • Author

    Babaali, Mohamed ; Egerstedt, Magnus

  • Author_Institution
    Sch. of Electr. & Comput. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
  • Volume
    6
  • fYear
    2003
  • fDate
    9-12 Dec. 2003
  • Firstpage
    5771
  • Abstract
    This paper considers the problem of determining whether the observability (or controllability) matrix of a given discrete-time switched linear system reaches full rank for any mode sequence. We show that this problem is in fact decidable, and we provide finite upper bounds on the maximum sequence length at which this property may be satisfied.
  • Keywords
    controllability; discrete time systems; linear systems; matrix algebra; observability; time-varying systems; controllability; discrete-time switched linear system; observability matrix; pathwise observability; Control system synthesis; Controllability; Linear systems; Multimodal sensors; Observability; Paper technology; Sensor systems; Stochastic processes; Switches; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-7924-1
  • Type

    conf

  • DOI
    10.1109/CDC.2003.1271925
  • Filename
    1271925