Fabio Camilli, Lars Grüne, Fabian Wirth
Zubov's method for perturbed differential equations.
The paper is published: Proceedings of the Symposium on Mathematical Theory of Networks and Systems MTNS-2000, Perpignan, France, 2000. (CD-ROM) paper B100.
MSC:
34D10 Perturbations
49L25 Viscosity solutions
Abstract:
We present a generalization of Zubov's method to perturbed differential equations. The goal is to
characterize the domain of attraction of an attractor which is uniformly locally asymptotically stable under all
admissible time varying perturbations. We show that in this general setting the straightforward
generalization of the classical Zubov's equations has a unique viscosity solution which characterizes the
robust domain of attraction as a suitable sublevel set.

Keywords: robust domain of attraction, Zubov's method, viscosity solutions

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Home Fabian Wirth's publication page Research Group "Regelungssysteme"
Zentrum für Technomathematik (German)
Institute for Dynamical Systems
The Maths Department
The University of Bremen

Notes:
submitted