• DocumentCode
    3005732
  • Title

    Lyapunov stability analysis for nonlinear delay systems

  • Author

    Mazenc, Frédéric ; Nuculescu, S.-I.

  • Author_Institution
    Inst. Nat. de Recherche en Inf. et Autom., Valbonne, France
  • Volume
    3
  • fYear
    2000
  • fDate
    2000
  • Firstpage
    2100
  • Abstract
    Sufficient conditions ensuring that a nonlinear system with disturbances having a delay is delay independent globally asymptotically stable, are given. The proof carried out relies extensively on a characterization of the stability property in terms of the Lyapunov function. The result is applied to some biological systems and neural networks. It is also used to construct a stabilizing memoryless controller for a second order system with state-delay
  • Keywords
    Lyapunov methods; asymptotic stability; control system analysis; delay systems; memoryless systems; nonlinear systems; Lyapunov function; asymptotic stability; biological systems; delay systems; memoryless controller; neural networks; nonlinear systems; second order system; sufficient conditions; Backstepping; Biological systems; Control systems; Delay systems; Differential equations; Lyapunov method; Nonlinear systems; Robustness; Stability analysis; Sufficient conditions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
  • Conference_Location
    Sydney, NSW
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-6638-7
  • Type

    conf

  • DOI
    10.1109/CDC.2000.914104
  • Filename
    914104