Calculating the domain of attraction: Zubov's method and extensions

F. Camilli, L. Grüne, F. Wirth: Calculating the domain of attraction: Zubov's method and extensions
in: Proceedings of the Stability and Control Processes Conference (SCP 2005), dedicated to the 75th birthday anniversary of V. I. Zubov, Saint Petersburg, Russia, 2005, 27 - 36

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Abstract:

In a seminal work V.I. Zubov has described a constructive method to obtain Lyapunov functions. This method is the first to allow numerical construction of domains of attraction for general nonlinear systems. In this paper we describe recent generalizations of this method that is applicable for systems subject to perturbations or control inputs.

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