at Google ScholarTitle data
Grüne, Lars ; Camilli, Fabio ; Wirth, Fabian:
Zubov's method for perturbed differential equations.
In: el Jai, Abdelhaq
(ed.):
Mathematical Theory of Networks and Systems. -
Zielona Gora
: Techn. Univ. Press
,
2001
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Abstract in another language
We present a generalization of Zubov's method to perturbed differential equations. The goal is to characterize the domain of attraction of a set which is uniformly locally asymptotically stable under all admissible time varying perturbations. We show that in this general setting the straightforward generalization of the classical Zubov's equations has a unique viscosity solution which characterizes the robust domain of attraction as a suitable sublevel set.
Further data
| Item Type: | Article in a book |
|---|---|
| Refereed: | Yes |
| Additional notes: | (= International Journal of Applied Mathematics and Computer Science ; 11,1) |
| Institutions of the University: | Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics |
| Result of work at the UBT: | No |
| DDC Subjects: | 500 Science 500 Science > 500 Natural sciences 500 Science > 510 Mathematics |
| Date Deposited: | 22 Feb 2021 09:21 |
| Last Modified: | 14 May 2021 09:59 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/63275 |