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; L., Gruene; F., Wirth. - STAMPA. - (2002), pp. 3518-3523. (Intervento presentato al convegno CDC 2002 tenutosi a Las Vegas) [10.1109/CDC.2002.1184420].
A generalization of Zubov's method to perturbed systems
CAMILLI, FABIO;
2002
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 setI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
