State-space formulae for the factorization of all-pass matrix functions

Michael Green; Brian D.O. Anderson

doi:10.1080/00207178708933836

State-space formulae for the factorization of all-pass matrix functions

Michael Green, Brian D.O. Anderson

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

3 Citations (Scopus)

Abstract

We consider the factorization of an all-pass matrix function E(s) using proper stable minimum-phase factors. Stale-space formulae for the stable minimum-phase factors of E(s) are derived (when they exist), as well as state-space formulae for the Wiener-Hopf factors. This is achieved using the state-space characterization of all-pass matrix functions given by Glover (1984) in conjunction with the results of Green and Anderson (1987).

Original language	English
Pages (from-to)	1575-1602
Number of pages	28
Journal	International Journal of Control
Volume	45
Issue number	5
DOIs	https://doi.org/10.1080/00207178708933836
Publication status	Published - May 1987

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AB - We consider the factorization of an all-pass matrix function E(s) using proper stable minimum-phase factors. Stale-space formulae for the stable minimum-phase factors of E(s) are derived (when they exist), as well as state-space formulae for the Wiener-Hopf factors. This is achieved using the state-space characterization of all-pass matrix functions given by Glover (1984) in conjunction with the results of Green and Anderson (1987).

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State-space formulae for the factorization of all-pass matrix functions

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