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Rational approximation of a class of infinite-dimensional systems II: Optimal convergence rates ofL ∞ approximants

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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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Authors and Affiliations

  1. Department of Engineering, University of Cambridge, Trumpington Street, CB2 1PZ, Cambridge, England

    K. Glover, J. Lam & J. R. Partington

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  1. K. Glover
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  2. J. Lam
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  3. J. R. Partington
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Glover, K., Lam, J. & Partington, J.R. Rational approximation of a class of infinite-dimensional systems II: Optimal convergence rates ofL ∞ approximants. Math. Control Signal Systems 4, 233–246 (1991). https://doi.org/10.1007/BF02551279

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  • DOI: https://doi.org/10.1007/BF02551279

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