• DocumentCode
    2240716
  • Title

    Practical stability of time delay systems: LMI’s approach

  • Author

    Villafuerte, R. ; Mondié, S. ; Poznyak, A.

  • Author_Institution
    Dept. of Autom. Control, CINVESTAV-IPN, Mexico City, Mexico
  • fYear
    2008
  • fDate
    9-11 Dec. 2008
  • Firstpage
    4807
  • Lastpage
    4812
  • Abstract
    In this paper we discuss the practical stability of a class of time delay systems with an unstable equilibrium. We obtain sufficient conditions based on Lyapunov-Krasovskii functionals stated in terms of the feasibility of LMI\´s. A "practical" exponential estimate of the solution is also obtained. The result is extended to the practical stabilization and to the case of systems with multiple delays.
  • Keywords
    delays; linear matrix inequalities; stability; LMI; exponential estimate; time delay system stability; Adaptive control; Asymptotic stability; Control systems; Delay effects; Delay systems; Lyapunov method; Mechanical systems; Stability analysis; Sufficient conditions; Uncertainty;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
  • Conference_Location
    Cancun
  • ISSN
    0191-2216
  • Print_ISBN
    978-1-4244-3123-6
  • Electronic_ISBN
    0191-2216
  • Type

    conf

  • DOI
    10.1109/CDC.2008.4738801
  • Filename
    4738801
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2240716