Convergence Rates of Perturbed Attracting Sets with Vanishing Perturbation

Titelangaben

Grüne, Lars:
Convergence Rates of Perturbed Attracting Sets with Vanishing Perturbation.
In: Journal of Mathematical Analysis and Applications. Bd. 244 (2000) Heft 2 . - S. 369-392.
ISSN 1096-0813
DOI: https://doi.org/10.1006/jmaa.2000.6707

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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.