On the transformation formulas of the Hankel‐norm approximation | Zendy

Benner Peter | Zendy; Werner Steffen W. R. | Zendy

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On the transformation formulas of the Hankel‐norm approximation

Author(s) -

Benner Peter,

Werner Steffen W. R.

Publication year - 2017

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.201710379

Subject(s) - hankel matrix , mathematics , norm (philosophy) , matrix norm , singular value , hankel transform , transformation (genetics) , invariant (physics) , transformation matrix , lti system theory , linear system , mathematical analysis , mathematical physics , physics , eigenvalues and eigenvectors , fourier transform , biochemistry , chemistry , kinematics , classical mechanics , quantum mechanics , political science , law , gene

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)

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