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Zubov's method for perturbed differential equations

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005471
URN to cite this document: urn:nbn:de:bvb:703-epub-5471-2

Title data

Grüne, Lars ; Camilli, Fabio ; Wirth, Fabian:
Zubov's method for perturbed differential equations.
Bayreuth , 2000

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Abstract

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: Preprint, postprint
Additional notes (visible to public): erschienen In:
el Jai, Abdelhaq (Hrsg.): Mathematical Theory of Networks and Systems. - Zielona Gora : Techn. Univ. Press , 2001
Keywords: Perturbed nonlinear systems; domain of attraction; Zubov’s method; computational approach
DDC Subjects: 500 Science
500 Science > 510 Mathematics
Institutions of the University: 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
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-5471-2
Date Deposited: 07 May 2021 07:59
Last Modified: 14 May 2021 09:49
URI: https://epub.uni-bayreuth.de/id/eprint/5471

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