Subdivision techniques for the computation of domains of attraction and reachable sets
L. Grüne:
Subdivision techniques for the computation of domains of attraction and reachable sets
in:
Proceedings of NOLCOS 2001,
St. Petersburg, Russia,
2001,
762 - 767
Smart-Link:
http://nolcos.nm.ru/
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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.