• DocumentCode
    790868
  • Title

    On the ℒ1 norm of uncertain linear systems

  • Author

    Fialho, Ian J. ; Georgiou, Tryphon T.

  • Author_Institution
    Dept. of Electr. Eng., Minnesota Univ., Minneapolis, MN, USA
  • Volume
    40
  • Issue
    6
  • fYear
    1995
  • fDate
    6/1/1995 12:00:00 AM
  • Firstpage
    1142
  • Lastpage
    1147
  • Abstract
    In this paper we present an algorithm for computing the l∞-induced norm of linear systems described by time-varying difference equations with uncertain system matrices. The approach is based on ideas from convex analysis. The convergence of the algorithm is studied, and vertex-type results related to the stabilization and L1-control of uncertain discrete-time systems are established
  • Keywords
    difference equations; optimal control; time-varying systems; uncertain systems; ℒ1 norm; convex analysis; l∞-induced norm; stabilization; time-varying difference equations; uncertain linear systems; uncertain system matrices; vertex-type results; Automatic control; Control system synthesis; Control systems; Convergence; Frequency; Linear systems; Robotics and automation; Service robots; Size control; Trajectory;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.388703
  • Filename
    388703
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=790868