Fabio Camilli, Lars Grüne, Fabian Wirth
A generalization of Zubov's method to perturbed systems
Preprint series: DFG-Schwerpunkt DANSE 24/99
MSC:
34D10 Perturbations
49L25 Viscosity solutions
Abstract:
A generalization of Zubov's theorem on representing the domain of attraction via the solution of a suitable
partial differential equation is presented for the case of perturbed systems with a singular fixed point. For
the construction it is necessary to consider solutions in the viscosity sense. As a consequence maximal robust
Lyapunov functions can be characterized as viscosity solutions.

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