A Lyapanov Function Method to Estimate the Stability Region of Nonlinear Systems Using the Lie Series
Banks, S.P. and Riddalls, C.E.
(1997)
A Lyapanov Function Method to Estimate the Stability Region of Nonlinear Systems Using the Lie Series.
Research Report.
ACSE Research Report 665
.
Department of Automatic Control and Systems Engineering
Abstract
A method to estimate the region of asymptotic stability, about an equilibrium point of an autonomous nonlinear system is presented. The Lie series is used to approximate the solution trajectories of a general point in the stability region. The method is applied to several well-known examples of two and three dimensions.
Metadata
Item Type:
Monograph
Authors/Creators:
Banks, S.P.
Riddalls, C.E.
Copyright, Publisher and Additional Information:
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