caa a22 4500 477097243 CHVBK 20180405111531.0 cr unu---uuuuu 170330e19960901xx s 000 0 eng 10.1007/BF01188987 doi (NATIONALLICENCE)springer-10.1007/BF01188987 Katayama Tohru Department of Applied Mathematics and Physics, Graduate School of Engineering, Kyoto University, 606-01, Kyoto, Japan aut ( J, J′ )-Spectral factorization and conjugation for discrete-time descriptor system [Elektronische Daten] [Tohru Katayama] This paper considers a (J, J′)-spectral factorization of a signed spectral matrix associated with a discrete-time improper transfer matrix by using the descriptor system representation and the generalized algebraic Riccati equation (GARE). Under the assumption that the improper transfer matrix is stable, a numerical algorithm for (J, J′)-spectral factorization is developed based on solutions of the generalized eigenvalue problem (GEP) and a related matrix equation. For an unstable transfer matrix, aJ-unitary conjugation method is applied to obtain a stable transfer matrix generating the same signed spectral matrix. Then a Hankel norm model reduction problem is briefly discussed. A simple example is also included to illustrate the numerical procedure. Birkhäuser, 1996 Circuits, Systems and Signal Processing Birkhäuser-Verlag 15/5(1996-09-01), 649-669 0278-081X 15:5<649 1996 15 34 https://doi.org/10.1007/BF01188987 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01188987 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Katayama Tohru Department of Applied Mathematics and Physics, Graduate School of Engineering, Kyoto University, 606-01, Kyoto, Japan aut NATIONALLICENCE 773 0- Circuits, Systems and Signal Processing Birkhäuser-Verlag 15/5(1996-09-01), 649-669 0278-081X 15:5<649 1996 15 34 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer