The Hankel‐norm approximation of a linear time‐invariant system is a method of model reduction which yields the best approximation in the Hankel semi‐norm. For the application of the method to systems with a non‐singular descriptor matrix E we generalize the transformation formulas. The resulting formulas provide additional degrees of freedom which can be used to avoid undesired numerical operations or a resulting ill‐conditioned system. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Proceedings in Applied Mathematics & Mechanics – Wiley
Published: Jan 1, 2017
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