• DocumentCode
    3181220
  • Title

    Bounds on the solution of the time-varying linear matrix differential equation P˙ (t) = AH(t)P(t) +P(t)A(t) + Q(t)

  • Author

    Zhu, Yongliang ; Pagilla, Prabhakar R.

  • Author_Institution
    Sch. of Mech. & Aerosp. Eng., Oklahoma State Univ., Stillwater, OK, USA
  • Volume
    5
  • fYear
    2004
  • fDate
    14-17 Dec. 2004
  • Firstpage
    5392
  • Abstract
    We derive upper and lower bounds for the trace of the solution of the time-varying linear matrix differential equation P˙(t) = AH(t)P(t) + P(t)A(t) + Q(t). The bounds obtained are useful since the considered equation is encountered in a number of applications in systems and control theory.
  • Keywords
    differential equations; linear systems; time-varying systems; control theory; systems theory; time-varying linear matrix differential equation; Aerospace engineering; Automated highways; Control systems; Control theory; Controllability; Differential equations; Eigenvalues and eigenfunctions; Engineering profession; Observability; Time varying systems;
  • 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.2004.1429665
  • Filename
    1429665
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3181220