We present a generalization of Zubov's method to perturbed dierential equations. The goal is to charac- terize the domain of attraction of a set which is uniformly locally asymptotically stable under all admissible time vary- ing perturbations. We show that in this general setting the straightforward generalization of the classical Zubov's equa- tions has a unique viscosity solution which characterizes the robust domain of attraction as a suitable sublevel set
A generalization of Zubov's method to perturbed systems
CAMILLI, FABIO;
2002-01-01
Abstract
We present a generalization of Zubov's method to perturbed dierential equations. The goal is to charac- terize the domain of attraction of a set which is uniformly locally asymptotically stable under all admissible time vary- ing perturbations. We show that in this general setting the straightforward generalization of the classical Zubov's equa- tions has a unique viscosity solution which characterizes the robust domain of attraction as a suitable sublevel setFile in questo prodotto:
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