• DocumentCode
    2699790
  • Title

    Some necessary conditions for the exponential stability of one delay systems

  • Author

    Mondié, Sabine ; Egorov, Alexey

  • Author_Institution
    Dept. of Atomatic Control, CINVESTAV-IPN, Mexico City, Mexico
  • fYear
    2011
  • fDate
    26-28 Oct. 2011
  • Firstpage
    1
  • Lastpage
    6
  • Abstract
    Some necessary conditions for the exponential stability of the one delay system are presented. In the case A1 is an invertible matrix, the condition depends exclusively on the Lyapunov matrix function of the delay system. The conditions are validated by examples for which the analytic characterization of the stability region is known.
  • Keywords
    Lyapunov matrix equations; asymptotic stability; delays; Lyapunov matrix function; exponential stability; invertible matrix; necessary conditions; one delay system; Delay; Delay systems; Equations; Numerical stability; Stability criteria; Symmetric matrices; Lyapunov-Krasovskii framework; Time delay systems; exponential stability; necessary conditions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Electrical Engineering Computing Science and Automatic Control (CCE), 2011 8th International Conference on
  • Conference_Location
    Merida City
  • Print_ISBN
    978-1-4577-1011-7
  • Type

    conf

  • DOI
    10.1109/ICEEE.2011.6106678
  • Filename
    6106678
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2699790