A Tutorial on Hankel-Norm Approximations

Glover, K. (1989). A Tutorial on Hankel-Norm Approximations. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-89-079


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A self-contained derivation is presented of the characterization of all optimal Hankel-norm approximations to a given matrix-valued transfer function. The approach involves a state-space characterization of all-pass systems as in the author's previous work, but has been greatly simplified. A section of preliminary results is included giving general results on linear fractional transformations, Hankel operators and all-pass systems. These results then can be applied to give the characterization of all optimal Hankel-norm approximations of a given stable transfer function. Frequency response bounds for these approximations are then derived from finite rank perturbation results.

Item Type: Monograph (IIASA Working Paper)
Research Programs: System and Decision Sciences - Core (SDS)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 01:59
Last Modified: 27 Aug 2021 17:13
URI: http://pure.iiasa.ac.at/3265

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