Login
Publications by the same author
plus in the repository
plus in Google Scholar
Bibliografische Daten exportieren		  

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

[thumbnail of gruene_et_al_zubovs_meth_mtns_2000.pdf]
Format: PDF
Name: gruene_et_al_zubovs_meth_mtns_2000.pdf
Version: Published Version
Available under License Creative Commons BY 4.0: Attribution
Download (116kB)

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
Download Statistics

Downloads

Downloads per month over past year