• DocumentCode
    3701338
  • Title

    Identification of the domain of attraction

  • Author

    Vladislav S. Ermolin;Tatyana V. Vlasova

  • Author_Institution
    St. Petersburg State University, 7/9 Universitetskaya nab., 199034 Russia
  • fYear
    2015
  • Firstpage
    9
  • Lastpage
    12
  • Abstract
    In this paper we consider a time-invariant system of differential equations with an equilibrium. We study the problem of a class of Lyapunov functions allowing to describe an estimation of the domain of attraction (DOA). This work is a development of the results obtained by V. I. Zubov. The solution of the problem is based on the application of the second method of Lyapunov. An example illustrates the theoretical results.
  • Keywords
    "Direction-of-arrival estimation","Differential equations","Lyapunov methods","Asymptotic stability","Estimation","Trajectory","Distance measurement"
  • Publisher
    ieee
  • Conference_Titel
    "Stability and Control Processes" in Memory of V.I. Zubov (SCP), 2015 International Conference
  • Type

    conf

  • DOI
    10.1109/SCP.2015.7342038
  • Filename
    7342038
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3701338