Journal Article

H<sub>∞</sub>-norm and frequency-response computations—sensitivity and a reliable algorithm


in IMA Journal of Mathematical Control and Information

Published on behalf of Institute of Mathematics and its Applications

Volume 16, issue 3, pages 249-259
Published in print September 1999 | ISSN: 0265-0754
Published online September 1999 | e-ISSN: 1471-6887 | DOI:
H∞-norm and frequency-response computations—sensitivity and a reliable algorithm

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It is shown that the Hoo norm and the frequency response of a linear time-invariant state-space system can be computed by using frequency sampling along with bounds for the frequency response between the sampled frequencies. A sensitivity and rounding-error analysis proves that the algorithm is numerically stable in a restricted sense.

Keywords: Kewywords: H∞ norm;; perturbation analysis;; frequency response;; frequency sampling;; rounding-error analysis.

Journal Article.  0 words. 

Subjects: Mathematics

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