ON EXTENDED (J,J')-LOSSLESS FACTORIZATION

Authors
HUNG YS CHU DL
Citation
Ys. Hung et Dl. Chu, ON EXTENDED (J,J')-LOSSLESS FACTORIZATION, Linear algebra and its applications, 271, 1998, pp. 117-138
Citations number
14
Categorie Soggetti
Mathematics,Mathematics
Journal title
Linear algebra and its applications → ACNP
ISSN journal
00243795
Volume
271
Year of publication
1998
Pages
117 - 138
Database
ISI
SICI code
0024-3795(1998)271:<117:OE(F>2.0.ZU;2-P
Abstract
The extended (J, J')-lossless factorization for discrete-time rational matrix functions with zeros on the unit circle is considered. A neces sary and sufficient condition for the existence of the extended (J, J' )-lossless factorization is obtained. The condition is given in terms of the original system parameters in the form of a generalized eigenva lue problem and a discrete-time algebraic Riccati equation. State-spac e representations for the extended (J, J')-lossless factorization are provided. (C) 1998 Elsevier Science Inc.