Factorization of all-pass matrix functions

Michael Green; Brian D.O. Anderson

doi:10.1080/00207178708933722

Factorization of all-pass matrix functions

Michael Green, Brian D.O. Anderson

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We consider the factorization of an all-pass matrix function E(s) into proper, stable, minimum-phase factors. This is achieved by applying the state-space Wiener-Hopf factorization theory of Bart et al. (1983) to the state-space characterization of all-pass matrix functions given by Glover (1984). Important connections are made between the properties of E(s) as a Nehari extension, its partial Wiener-Hopf factorization indices, and its Hankel singular values.

Original language	English
Pages (from-to)	215-235
Number of pages	21
Journal	International Journal of Control
Volume	45
Issue number	1
DOIs	https://doi.org/10.1080/00207178708933722
Publication status	Published - Jan 1987

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title = "Factorization of all-pass matrix functions",

abstract = "We consider the factorization of an all-pass matrix function E(s) into proper, stable, minimum-phase factors. This is achieved by applying the state-space Wiener-Hopf factorization theory of Bart et al. (1983) to the state-space characterization of all-pass matrix functions given by Glover (1984). Important connections are made between the properties of E(s) as a Nehari extension, its partial Wiener-Hopf factorization indices, and its Hankel singular values.",

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N2 - We consider the factorization of an all-pass matrix function E(s) into proper, stable, minimum-phase factors. This is achieved by applying the state-space Wiener-Hopf factorization theory of Bart et al. (1983) to the state-space characterization of all-pass matrix functions given by Glover (1984). Important connections are made between the properties of E(s) as a Nehari extension, its partial Wiener-Hopf factorization indices, and its Hankel singular values.

AB - We consider the factorization of an all-pass matrix function E(s) into proper, stable, minimum-phase factors. This is achieved by applying the state-space Wiener-Hopf factorization theory of Bart et al. (1983) to the state-space characterization of all-pass matrix functions given by Glover (1984). Important connections are made between the properties of E(s) as a Nehari extension, its partial Wiener-Hopf factorization indices, and its Hankel singular values.

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SN - 0020-7179

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EP - 235

JO - International Journal of Control

JF - International Journal of Control

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Factorization of all-pass matrix functions

Abstract

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