• DocumentCode
    3554567
  • Title

    Balanced structures and model reduction of unstable systems

  • Author

    Zilouchian, A.

  • Author_Institution
    Dept. of Electr. Eng., Florida Atlantic Univ., Boca Raton, FL, USA
  • fYear
    1991
  • fDate
    7-10 Apr 1991
  • Firstpage
    1198
  • Abstract
    It is shown that B.C. Moore´s balancing model (1981) can be extended to unstable systems by utilizing two weighted Grammian matrices. It is proposed that the Jω axis can be shifted to handle unstable systems. The balanced approach involves the solution of two modified Lyapunov equations. Two numerical examples are given to illustrate the results
  • Keywords
    Lyapunov methods; matrix algebra; modelling; stability; balancing model; model reduction; modified Lyapunov equations; unstable systems; weighted Grammian matrices; Controllability; Equations; Information analysis; Kalman filters; MIMO; Mathematical model; Observability; Reduced order systems; Transfer functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Southeastcon '91., IEEE Proceedings of
  • Conference_Location
    Williamsburg, VA
  • Print_ISBN
    0-7803-0033-5
  • Type

    conf

  • DOI
    10.1109/SECON.1991.147956
  • Filename
    147956