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

@article{Glover1991RationalAO,
  title={Rational approximation of a class of infinite-dimensional systems II: Optimal convergence rates ofL∞ approximants},
  author={Keith Glover and Jenny Lam and Jonathan R. Partington},
  journal={MCSS},
  year={1991},
  volume={4},
  pages={233-246}
}
where the infimum is taken over G with McMiUan degree n and F analytic and bounded in the left half-plane (i.e., anticausal), and where #,+I(G) denotes the (n + 1)st singular value of the Hankel operator corresponding to G. The anticausal term F is not allowed in our rational approximation problem: however, it was shown in [G] that IIFII| can be bounded and hence that there exist optimal Hankel-norm approximants that satisfy 

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