Convergence Rates of Perturbed Attracting Sets with Vanishing Perturbation

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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.