• DocumentCode
    851516
  • Title

    On the robustness of linear continuous-time dynamic systems

  • Author

    Geromel, J.C. ; Santo, A. O E

  • Author_Institution
    FEC-UNICAMP, Campinas, Brazil
  • Volume
    31
  • Issue
    12
  • fYear
    1986
  • fDate
    12/1/1986 12:00:00 AM
  • Firstpage
    1136
  • Lastpage
    1138
  • Abstract
    In this note, for a given linear continuous-time dynamic system \\dot{x} = Ax + Bu , we determine sufficient conditions for the existence of a constant feedback matrix k such that the closed-loop system matrix A - Bk admits a diagonal positive solution of the Lyapunov equation. An algorithm for the determination of such k matrix is given and some examples are solved.
  • Keywords
    Lyapunov methods, linear systems; Matrices; Robustness, linear systems; Asymptotic stability; Control system synthesis; Control systems; Feedback; Linear systems; Nonlinear dynamical systems; Nonlinear equations; Robustness; Sufficient conditions; Vectors;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1986.1104190
  • Filename
    1104190
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=851516