• DocumentCode
    2464997
  • Title

    A New Lyapunov-Krasovskii Methodology for Coupled Delay Differential Difference Equations

  • Author

    Pepe, P. ; Jiang, Z.-P. ; Fridman, E.

  • Author_Institution
    Dipt. di Ingegneria Elettrica, Univ. degli Studi dell´´Aquila, L´´Aquila
  • fYear
    2006
  • fDate
    13-15 Dec. 2006
  • Firstpage
    2565
  • Lastpage
    2570
  • Abstract
    In this paper a new Lyapunov-Krasovskii methodology for nonlinear coupled delay differential difference equations is proposed. This methodology is based on the concept of input-to-state stability applied to the difference equation, for which a sufficient Lyapunov criterion is given, and on previous methodologies developed in the literature for linear delay descriptor systems
  • Keywords
    Lyapunov methods; delay-differential systems; difference equations; nonlinear differential equations; stability; Lyapunov criterion; Lyapunov-Krasovskii methodology; continuous time difference equation; input-to-state stability; nonlinear coupled delay differential difference equation; nonlinear time delay system; Asymptotic stability; Coupling circuits; Delay lines; Delay systems; Difference equations; Nonlinear equations; Propagation delay; Stability analysis; Stability criteria; USA Councils; Continuous Time Difference Equations; Input-to-State Stability; Lyapunov´s Second Method; Nonlinear Time Delay Systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2006 45th IEEE Conference on
  • Conference_Location
    San Diego, CA
  • Print_ISBN
    1-4244-0171-2
  • Type

    conf

  • DOI
    10.1109/CDC.2006.377198
  • Filename
    4177090