• DocumentCode
    3730797
  • Title

    Stability analysis and estimation of the convergence rate of solutions for nonlinear time-delay systems

  • Author

    A. Yu. Aleksandrov;E. B. Aleksandrova;A. P. Zhabko;G. Dai

  • Author_Institution
    Faculty of Applied Mathematics and Processes of Control, Saint Petersburg State University, Russia 198504
  • fYear
    2015
  • Firstpage
    67
  • Lastpage
    72
  • Abstract
    Certain classes of systems with nonlinearities of a sector type and time-varying delay are studied. By the use of the Lyapunov functions method and the Razumikhin approach, conditions are obtained under which the zero solution of considered systems is asymptotically stable for an arbitrary continuous nonnegative and bounded delay. Moreover, estimates of the convergence rate of solutions are derived.
  • Keywords
    "Stability analysis","Delays","Asymptotic stability","Convergence","Lyapunov methods","Symmetric matrices","Control systems"
  • Publisher
    ieee
  • Conference_Titel
    Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT), 2015 7th International Congress on
  • Electronic_ISBN
    2157-0221
  • Type

    conf

  • DOI
    10.1109/ICUMT.2015.7382407
  • Filename
    7382407
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3730797