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Attractors under perturbation and discretization

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005463
URN to cite this document: urn:nbn:de:bvb:703-epub-5463-8

Title data

Grüne, Lars:
Attractors under perturbation and discretization.
Bayreuth , 2000

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Abstract

Using control theoretic techniques we give a necessary and sufficient condition for the convergence of attractors in one step discretizations of ordinary differential equations and obtain estimates for the resulting discretization error. The necessary and sufficient condition is based on a robustness property for an associated perturbed system, which is closely related to but slightly weaker than the input-to-state stability property well known in control theory.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): erschienen In:
Proceedings of the 39th IEEE Conference on Decision and Control. Volume 3. - Piscataway, NJ : IEEE Publ. , 2000 . - S. 2118-2122
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-5463-8
Date Deposited: 07 May 2021 06:47
Last Modified: 07 May 2021 06:47
URI: https://epub.uni-bayreuth.de/id/eprint/5463
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