• DocumentCode
    434724
  • Title

    A note on persistency of excitation

  • Author

    Willems, Jan C. ; Markovsky, Ivan ; Rapisarda, Paolo ; De Moor, B.L.M.

  • Author_Institution
    Dept. of Electr. Eng., Katholieke Univ., Leuven, Belgium
  • Volume
    3
  • fYear
    2004
  • fDate
    14-17 Dec. 2004
  • Firstpage
    2630
  • Abstract
    We prove that if a component of the response signal of a controllable linear time-invariant system is persistently exciting of sufficiently high order, then the windows of the signal span the full system behavior. This is then applied to obtain conditions under which the state trajectory of a state representation spans the whole state space.
  • Keywords
    linear systems; state-space methods; annihilators; behavioral systems; controllable linear time-invariant system; persistency of excitation; state representation; state trajectory; Adaptive control; Control systems; Kernel; Mathematics; Signal processing; State-space methods; Sufficient conditions; System identification;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2004. CDC. 43rd IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-8682-5
  • Type

    conf

  • DOI
    10.1109/CDC.2004.1428856
  • Filename
    1428856
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=434724