An extension of A-A-K Hankel approximation theory using state-space formulation (Q1337667)
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scientific article; zbMATH DE number 683630
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An extension of A-A-K Hankel approximation theory using state-space formulation |
scientific article; zbMATH DE number 683630 |
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An extension of A-A-K Hankel approximation theory using state-space formulation (English)
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1 December 1994
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A state-space extension of A-A-K Hankel approximation theory is presented. It is shown that A-A-K theory can also be generalized to minimal-norm (optimal) approximation problems. A state-space formula for generating \(m\) independent Hankel singular-vector pairs corresponding to a prescribed Hankel singular value \(\delta\) is derived in terms of the balanced realization of an \(m\times m\) rational function matrix \(G\) which is used to characterize all the optimal Hankel approximants.
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A-A-K Hankel approximation theory
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state-space
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Hankel singular value
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balanced realization
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