• DocumentCode
    3784609
  • Title

    Planar regions of attraction

  • Author

    L. Jocic

  • Author_Institution
    Chatsworth, CA, USA
  • Volume
    27
  • Issue
    3
  • fYear
    1982
  • Firstpage
    708
  • Lastpage
    710
  • Abstract
    An effective method for estimation of the region of attraction of an equilibrium point in the plane is proposed in this note. This new method for stability analysis of the second-order nonlinear system\dot{x} = f(x);x(t_{0})=x_{0}, is based on the properties of phase flows and associated velocity fields. Several engineering examples have been solved which illustrate the usefulness of the technique.
  • Keywords
    "Transmission line matrix methods","Lyapunov method","Stability criteria","Stability analysis","Kalman filters","Reduced order systems","Testing","Nonlinear dynamical systems","Orbits","State estimation"
  • Journal_Title
    IEEE Transactions on Automatic Control
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1982.1102991
  • Filename
    1102991
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3784609