Maurizio Falcone, Lars Grüne, Fabian Wirth
A maximum time approach to the computation of robust domains of attraction
Preprint series: Proceedings Equadiff 99, Berlin, Germany, 1999
MSC:
34D05 Asymptotic properties
49L25 Viscosity solutions
Abstract:
We present an optimal control based algorithm for the computation of robust
domains of attraction for perturbed systems. We give a sufficient condition
for the continuity of the optimal value function and a characterization by
Hamilton-Jacobi equations. A numerical scheme is presented and illustrated by
an example.


Keywords: Robust domain of attraction, optimal control, maximum-time problem, viscosity solution