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IMA Journal of Mathematical Control and Information 1999 16(3):249-259; doi:10.1093/imamci/16.3.249
© 1999 by Institute of Mathematics and its Applications
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H{infty}-norm and frequency-response computations—sensitivity and a reliable algorithm

A. LINNEMANN and J. KAWELKE

Control and Systems Theory, Department of Electrical Engineering, University of Kassel 34109 Kassel, Germany
Department of Engineering, Leicester University Leicester LEI 7RH, UK

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{infty} norm;; perturbation analysis;; frequency response;; frequency sampling;; rounding-error analysis..


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