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Zubov's method for perturbed differential equations

Title data

Grüne, Lars ; Camili, 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: 07 May 2021 08:03
URI: https://eref.uni-bayreuth.de/id/eprint/63275