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 set
CDC 2002
zubov method; STABILITY; Lyapunov stability
04 Pubblicazione in atti di convegno::04b Atto di convegno in volume
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].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/412847
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