TY - JOUR
T1 - Factorization of all-pass matrix functions
AU - Green, Michael
AU - Anderson, Brian D.O.
PY - 1987/1
Y1 - 1987/1
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.
UR - http://www.scopus.com/inward/record.url?scp=0023139043&partnerID=8YFLogxK
U2 - 10.1080/00207178708933722
DO - 10.1080/00207178708933722
M3 - Article
AN - SCOPUS:0023139043
SN - 0020-7179
VL - 45
SP - 215
EP - 235
JO - International Journal of Control
JF - International Journal of Control
IS - 1
ER -