A Lyapanov Function Method to Estimate the Stability Region of Nonlinear Systems Using the Lie Series
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...
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| Zusammenfassung: | 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. |
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