• DocumentCode
    809795
  • Title

    On controllability of linear systems with time delays in control

  • Author

    Olbrot, Andrzej W.

  • Author_Institution
    Warsaw Technical University, Warsaw, Poland
  • Volume
    17
  • Issue
    5
  • fYear
    1972
  • fDate
    10/1/1972 12:00:00 AM
  • Firstpage
    664
  • Lastpage
    666
  • Abstract
    The problems of controllability of linear processes with time delays described by the differential equation \\dot{x}(t) = A(t)x(t) + \\sum \\min{i=0}\\max {k} B_{i}(t)u(t-h_{i} and satisfied in Euclidean space Rnare considered. The necessary and sufficient conditions for controllability, using the transition matrix of the process, are given. By the additional assumption that the matrices A,B_{i} are analytic in t , another criterion of controllability, using the matrices A and Bionly, is proved.
  • Keywords
    Controllability; Linear systems, time-varying continuous-time; Time-delay systems; Automation; Bismuth; Control systems; Controllability; Delay effects; Differential equations; Jacobian matrices; Linear systems; Process control; Sufficient conditions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1972.1100090
  • Filename
    1100090
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=809795