• DocumentCode
    817767
  • Title

    Some new results in linear time-varying systems

  • Author

    Wu, Min-Yen

  • Author_Institution
    Unicersity of Colorado, Boulder, CO, USA
  • Volume
    20
  • Issue
    1
  • fYear
    1975
  • fDate
    2/1/1975 12:00:00 AM
  • Firstpage
    159
  • Lastpage
    161
  • Abstract
    This correspondence presents some new results for linear time-varying systems \\dot{x}(t)=A(t)x(t) . These new results include, 1) an explicit necessary and sufficient condition of stability that can be determined directly by joint eigenvalues of two constant matrices, and 2) a new class of reducible systems which needs not be periodic, as is required in Floquet theory.
  • Keywords
    Linear systems, time-varying continuous-time; Stability; Control theory; Eigenvalues and eigenfunctions; Equations; Kalman filters; Polynomials; Stability; Sufficient conditions; Symmetric matrices; Time varying systems; Transient response;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1975.1100869
  • Filename
    1100869
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=817767