Rational approximation of a class of infinite-dimensional systems II: Optimal convergence rates ofL
∞ approximants |
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| Authors: | K Glover J Lam J R Partington |
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| Affiliation: | (1) Department of Engineering, University of Cambridge, Trumpington Street, CB2 1PZ Cambridge, England |
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| Abstract: | The achievable errors in infinity-norm approximation of an irrational transfer function by a rational one of given degree
are considered. Error bounds are given which have particular application to delay systems, and it is shown that optimal convergence
rates are achievable if the corresponding impulse response has certain smoothness properties. |
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| Keywords: | Delay systems Singular values Hankel operators Rational approximation |
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