• DocumentCode
    852046
  • Title

    A Lyapunov theory for linear time-delay systems

  • Author

    Lee, E.B. ; Lu, W.-S. ; Wu, N.E.

  • Author_Institution
    University of Minnesota, Minneapolis, MN, USA
  • Volume
    31
  • Issue
    3
  • fYear
    1986
  • fDate
    3/1/1986 12:00:00 AM
  • Firstpage
    259
  • Lastpage
    261
  • Abstract
    Some relationships between a Lyapunov based stability test and linear control system models with time delays are explored. The main result is a generalization of the result that if ( A, B ) is a reachable pair of matrices, then square A is a stability matrix if and only if there is a positive-definite matrix K such that AK + KA\´ = - BB\´ .
  • Keywords
    Delay systems, linear; Lyapunov methods, linear systems; Delay; Eigenvalues and eigenfunctions; Filtering theory; State-space methods; Sufficient conditions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1986.1104242
  • Filename
    1104242
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=852046