• DocumentCode
    842776
  • Title

    On generalized balanced realizations

  • Author

    Verriest, Erik ; Kailath, Thomas

  • Author_Institution
    Georgia Institute of Technology, Atlanta, GA, USA
  • Volume
    28
  • Issue
    8
  • fYear
    1983
  • fDate
    8/1/1983 12:00:00 AM
  • Firstpage
    833
  • Lastpage
    844
  • Abstract
    The class of analytic time-varying linear systems is considered. Different balanced realizations of such systems are defined, and their existence and properties are analyzed. The results are then used to derive reduced order approximations (also for unstable systems). A method is suggested to determine the order of a "good" approximation.
  • Keywords
    Linear systems, time-varying; Realization theory; Reduced-order systems, linear; Time-varying systems, linear; Contracts; Controllability; Digital filters; Filtering; Linear systems; Observability; Reduced order systems; Robustness; Stochastic processes; Time varying systems;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1983.1103333
  • Filename
    1103333
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=842776