J-spectral factorization and equalizing vectors---the extended remix

Gjerrit Meinsma
Abstract
This notes presents some basic results on $J$-spectral factorization and its connection with state space realizations. The assumptions needed are mild and proofs are given in detail. It discusses at lenght the $J$-inner-outer factorization problem for nonsquare, possibly unstable, rational matrices.

Keywords: $J$-spectral factorization, $J$-inner-outer factorization, $H_\infty$ control theory, Riccati equations
Postscript file: whf-remix.ps.gz (18 pages, 75 Kb, 300 dpi, gzip compressed).
BibTex entry
@TechReport{GjMe95c, author = {G. Meinsma}, title = {{$J$}-spectral factorization and equalizing vectors---the extended remix}, institution = {Department of Electrical and Computer Engineering} address = {The University of Newcastle, NSW 2308, Australia}, year = {1994}, number = {Technical Report EE9404} }
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