Asymptotically minimal contractors based on the centered form application to the stability analysis of linear systems /
This paper proposes a new interval-based contractor for nonlinear equations which is minimal when dealing with narrow boxes. The method is based on the centered form classically used by interval algorithms combined with a Gauss Jordan band diagonalization preconditioning. As an illustration in stabi...
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| Dokumentumtípus: | Cikk |
| Megjelent: |
University of Szeged, Institute of Informatics
Szeged
2024
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| Sorozat: | Acta cybernetica
26 No. 4 |
| Kulcsszavak: | Nemlineáris egyenletek, Lineáris egyenletek, Intervallum analízis, Stabilitásvizsgálat, Intervallum módszerek, Paraméter azonosítás, Differenciálegyenletek - időkésleltetéses |
| Tárgyszavak: | |
| doi: | 10.14232/actacyb.306222 |
| Online Access: | http://acta.bibl.u-szeged.hu/87003 |
| Tartalmi kivonat: | This paper proposes a new interval-based contractor for nonlinear equations which is minimal when dealing with narrow boxes. The method is based on the centered form classically used by interval algorithms combined with a Gauss Jordan band diagonalization preconditioning. As an illustration in stability analysis, we propose to compute the set of all parameters of a characteristic function of linear time-delayed equations which have at least one zero in the imaginary axis. Our approach is able compute a guaranteed and accurate enclosure of the solution set faster than existing approaches. |
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| Terjedelem/Fizikai jellemzők: | 933-954 |
| ISSN: | 2676-993X |