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"
