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Weighted Hankel-norm approximation: Calculation of bounds

Authors
Journal
Systems & Control Letters
0167-6911
Publisher
Elsevier
Publication Date
Volume
7
Issue
4
Identifiers
DOI: 10.1016/0167-6911(86)90037-x
Keywords
  • Approximation Theory
  • Model Reduction
  • System-Order Reduction

Abstract

Abstract Frequency-domain bounds are computed for the approximation error involved in the optimum Hankel-norm approximation procedure. The bounds differ from those arising in the unweighted optimal Hankel-norm approximation procedure by a multiplicative factor depending solely on the weighting function. This factor becomes unity when the weighting function is constant.

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