A Tutorial on Hankel-Norm Approximations

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/3306 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/3306 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/3306 archive 351 disk0/00/00/32/65 2016-01-15 01:59:35 2021-08-27 17:13:33 2016-01-15 01:59:35 monograph show 2 Glover K. A Tutorial on Hankel-Norm Approximations pub iis_mod iis_met prog_sds 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. 1989-10 published WP-89-079 WP-89-079 10 public working_paper IIASA, Laxenburg, Austria 26 FALSE info:eu-repo/semantics/book