Subdivision techniques for the computation of domains of attraction and reachable sets

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Grüne, Lars:
Subdivision techniques for the computation of domains of attraction and reachable sets.
Bayreuth , 2001

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Abstract

We present a set oriented subdivision technique for the numerical computation of reachable sets and domains of attraction for nonlinear systems. Using robustness properties of reachable sets for a suitable class of perturbed systems we state its convergence properties. Finally, we present results of numerical experiments which illustrate the performance of the algorithm.