Planar regions of attraction
- 1 June 1982
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 27 (3), 708-710
- https://doi.org/10.1109/tac.1982.1102991
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
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