DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005485
URN to cite this document: urn:nbn:de:bvb:703-epub-5485-9
URN to cite this document: urn:nbn:de:bvb:703-epub-5485-9
Title data
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.