• DocumentCode
    823487
  • Title

    Stabilizability of the system \\dot{x}(t)=Fx(t)+Gu(t-h)

  • Author

    Przyluski, K.

  • Author_Institution
    Politechnika Warszawska, Warsaw, Poland
  • Volume
    22
  • Issue
    2
  • fYear
    1977
  • fDate
    4/1/1977 12:00:00 AM
  • Firstpage
    269
  • Lastpage
    270
  • Abstract
    Stabilizability problem for the system \\dot{x}(t)= Fx(t) + Gu(t - h) is considered. For appropriate discrete model x_{k+1} = Ax_{k} + Bu_{k-1} the feedback controller which has the form u_{k} =\\Sigma \\min{i=0}\\max {l}F_{i}x_{k-i} is proposed. It is proven that controllability of the pair ( A,B ) and cyclicity of the A matrix imply stabilizability. Some extensions and applications are also mentioned.
  • Keywords
    Delay systems; Linear systems, time-invariant continuous-time; Linear systems, time-invariant discrete-time; Stability; State-feedback; Adaptive control; Automatic control; Control system synthesis; Control systems; Controllability; Delay effects; Feedback; Linear systems; Polynomials; Stability;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1977.1101444
  • Filename
    1101444
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=823487