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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

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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

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