POLYNOMIAL J-SPECTRAL FACTORIZATION

被引：62

作者：

KWAKERNAAK, H ^{[1
]}

SEBEK, M ^{[1
]}

机构：

[1] ACAD SCI CZECH REPUBL,INST INFORMAT THEORY & AUTOMAT,PRAGUE,CZECH REPUBLIC

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1994年 / 39卷 / 02期

关键词：

D O I：

10.1109/9.272326

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Several algorithms are presented for the J-spectral factorization of a para-Hermitian polynomial matrix. The four algorithms that are discussed are based on diagonatization, successive factor extraction, interpolation, and the solution of an algebraic Riccati equation, respectively. The paper includes a special algorithm for the factorization of unimodular para-Hermitian polynomial matrices and deals with canonical, noncanonical, and nearly noncanonical factorizations.

引用

页码：315 / 328

页数：14

共 50 条

[1] Algorithm of J-spectral factorization of polynomial matrices
Aliev, FA
Larin, VB
[J]. AUTOMATICA, 1997, 33 (12) : 2179 - 2182
[2] New Algorithms for Polynomial J-Spectral Factorization
Harry L. Trentelman
Paolo Rapisarda
[J]. Mathematics of Control, Signals and Systems, 1999, 12 : 24 - 61
[3] New algorithms for polynomial J-spectral factorization
Trentelman, HL
Rapisarda, P
[J]. MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 1999, 12 (01) : 24 - 61
[4] A Toeplitz algorithm for polynomial J-spectral factorization
Zuniga, Juan Carlos
Henrion, Didier
[J]. AUTOMATICA, 2006, 42 (07) : 1085 - 1093
[5] Hyperbolic QR factorization for J-spectral factorization of polynomial matrices
Henrion, D
Hippe, P
[J]. 42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, 2003, : 3479 - 3484
[6] Polynomial J-spectral factorization in minimal state space
Stefanovski, J
[J]. AUTOMATICA, 2003, 39 (11) : 1893 - 1901
[7] Discrete J-spectral factorization of possibly singular polynomial matrices
Stefanovski, J
[J]. SYSTEMS & CONTROL LETTERS, 2004, 53 (02) : 127 - 140
[8] Discrete J-spectral factorization
Zhang, HS
Xie, LH
Soh, YC
[J]. SYSTEMS & CONTROL LETTERS, 2001, 43 (04) : 275 - 286
[9] Dual J-spectral factorization
Park, P
Kailath, T
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1997, 68 (02) : 287 - 296
[10] J-SPECTRAL FACTORIZATION AND EQUALIZING VECTORS
MEINSMA, G
[J]. SYSTEMS & CONTROL LETTERS, 1995, 25 (04) : 243 - 249

← 1 2 3 4 5 →