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

Convergence Rates of Perturbed Attracting Sets with Vanishing Perturbation

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005464
URN to cite this document: urn:nbn:de:bvb:703-epub-5464-3

Title data

Grüne, Lars:
Convergence Rates of Perturbed Attracting Sets with Vanishing Perturbation.
Bayreuth , 1999

[thumbnail of gruene_jmaa_20001.pdf]
Format: PDF
Name: gruene_jmaa_20001.pdf
Version: Published Version
Available under License Creative Commons BY 4.0: Attribution
Download (266kB)

Abstract

We investigate the rate of convergence and the rate of attraction of perturbed attracting sets as the perturbation tends to zero. The perturbation model under consideration is a control system which contains the unperturbed system as zero dynamics. Necessary and sufficient conditions for certain rates of convergence are derived. Several applications especially to numerical approximations are given and a number of examples illustrates the results.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): erschienen In:
Journal of Mathematical Analysis and Applications. Bd. 244 (April 2000) Heft 2 . - S. 369-392
Keywords: Attracting sets; Perturbations; Rate of convergence; Numerical approximation; time varying perturbations; convergence; exponentially attracting sets
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-5464-3
Date Deposited: 07 May 2021 06:53
Last Modified: 07 May 2021 06:54
URI: https://epub.uni-bayreuth.de/id/eprint/5464
Download Statistics

Downloads

Downloads per month over past year