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On equivalence of exponential and asymptotic stability under changes of variables

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005472
URN to cite this document: urn:nbn:de:bvb:703-epub-5472-8

Title data

Grüne, Lars ; Sontag, Eduardo D. ; Wirth, Fabian:
On equivalence of exponential and asymptotic stability under changes of variables.
Bayreuth , 2000

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Abstract

We show that uniformly global asymptotic stability for a family of ordinary differential equations is equivalent to uniformly global exponential stability under a suitable nonlinear change of variables.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): erschienen In:
Fiedler, Bernold ; Gröger, Konrad ; Sprekels, Jürgen (Hrsg.): International Conference on Differential Equations. Volume 2. - Singapore : World Scientific, 2000 . - S. 850-852
Keywords: uniformly global asymptotic stability; exponential stability
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-5472-8
Date Deposited: 07 May 2021 08:21
Last Modified: 07 May 2021 08:21
URI: https://epub.uni-bayreuth.de/id/eprint/5472
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