• DocumentCode
    3009343
  • Title

    Extension of control Lyapunov functions to time-delay systems

  • Author

    Jankovic, Mrdjan

  • Author_Institution
    Ford Res. Lab., Dearborn, MI, USA
  • Volume
    5
  • fYear
    2000
  • fDate
    2000
  • Firstpage
    4403
  • Abstract
    The concept of control Lyapunov function has been proven a useful tool for designing robust control laws for nonlinear systems. This concept has been extended to time-delay systems in the form of control Lyapunov Razumikhin functions. We further develop this extension by introducing control Lyapunov Krasovsky functionals and show their use for robust stabilization of time-delay nonlinear systems. To further motivate the new concept we establish robustness properties for several control laws based on control Lyapunov Krasovsky functionals
  • Keywords
    delay systems; functional equations; functions; nonlinear control systems; robust control; control Lyapunov Krasovsky functionals; control Lyapunov Razumikhin functions; control Lyapunov functions; robust control laws; robust stabilization; time-delay systems; Asymptotic stability; Closed loop systems; Control systems; Delay effects; Nonlinear control systems; Nonlinear systems; Optimal control; Robust control; Robustness; Uncertainty;
  • 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.2001.914599
  • Filename
    914599