Confidence-based contractor, propagation and potential clouds for differential equations
A novel interval contractor based on the confidence assigned to a random variable is proposed in this paper. It makes possible to consider at the same time an interval in which the quantity is guaranteed to be, and a confidence level to reduce the pessimism induced by interval approach. This contrac...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
University of Szeged, Institute of Informatics
Szeged
2021
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| Sorozat: | Acta cybernetica
25 No. 1 |
| Kulcsszavak: | Intervallumanalízis, Differenciálegyenlet |
| Tárgyszavak: | |
| doi: | 10.14232/actacyb.285177 |
| Online Access: | http://acta.bibl.u-szeged.hu/73079 |
| Tartalmi kivonat: | A novel interval contractor based on the confidence assigned to a random variable is proposed in this paper. It makes possible to consider at the same time an interval in which the quantity is guaranteed to be, and a confidence level to reduce the pessimism induced by interval approach. This contractor consists in computing a confidence region. Using different confidence levels, a particular case of potential cloud can be computed. As application, we propose to compute the reachable set of an ordinary differential equation under the form of a set of confidence regions, with respect to confidence levels on initial value. |
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| Terjedelem/Fizikai jellemzők: | 49-68 |
| ISSN: | 0324-721X |