Maurizio Falcone, Lars Grüne, Fabian Wirth
A maximum time approach to the computation of robust domains of attraction
The paper is published: In B. Fiedler et al. eds., International Conference on Differential Equations, Equadiff 99, Berlin, 1999. Vol. 2. pp. 844 - 849. World Scientific, Singapore, 2000.
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

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Zentrum für Technomathematik (German)
Institute for Dynamical Systems
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The University of Bremen