Planar regions of attraction

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 velocit...

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Veröffentlicht in:	IEEE transactions on automatic control 1982-06, Vol.27 (3), p.708-710, Article 708
1. Verfasser:	Jocic, L.
Format:	Artikel
Sprache:	eng
Schlagworte:	Kalman filters Lyapunov method Nonlinear dynamical systems Orbits Reduced order systems Stability analysis Stability criteria State estimation Testing Transmission line matrix methods
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Beschreibung
Zusammenfassung:	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.
ISSN:	0018-9286 1558-2523
DOI:	10.1109/TAC.1982.1102991