• DocumentCode
    837459
  • Title

    Euclidean null-controllability of linear systems with distributed delays in control

  • Author

    Khambadkone, Meera

  • Author_Institution
    University of Jos, Jos, Nigeria
  • Volume
    27
  • Issue
    1
  • fYear
    1982
  • fDate
    2/1/1982 12:00:00 AM
  • Firstpage
    210
  • Lastpage
    211
  • Abstract
    J. Klamka derives a necessary and sufficient condition for the relative controllability of linear systems with distributed delays in control. In this paper the author discusses the Euclidean null-controllability of system described by the equation \\dot{x}(t) = A(t)x(t) + \\int\\liminf {-h}\\limsup {0} dH(t,s)u(t+s) satisfied almost everywhere on [ t_{0},\\infty ). If the system \\dot{x}(t)=A(t)x(t) is uniformly asymptotically stable and the controlled system \\dot{x}(t) = A(t)x(t) + \\int\\liminf {-h}\\limsup {0} dH(t,s)u(t+s) is proper then the system is null-controllable.
  • Keywords
    Controllability, linear systems; Delay systems, linear; Control systems; Controllability; Delay systems; Distributed control; Equations; Influenza; Linear systems; Mathematics; Strain control; Sufficient conditions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1982.1102825
  • Filename
    1102825