POLYNOMIAL J-SPECTRAL FACTORIZATION

被引：63

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 23 条

[1]

[Anonymous], 1980, LINEAR SYSTEMS

[2]

Ball J. A., 1991, International Journal of Robust and Nonlinear Control, V1, P229, DOI 10.1002/rnc.4590010403

[3]

Callier F.M., 1982, MULTIVARIABLE FEEDBA

[4] ON POLYNOMIAL MATRIX SPECTRAL FACTORIZATION BY SYMMETRIC EXTRACTION [J].

CALLIER, FM .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1985, 30 (05) :453-464

[5]

CHIANG RY, 1988, ROBUST CONTROL TOOLB

[6] STATE-SPACE SOLUTIONS TO STANDARD H-2 AND H-INFINITY CONTROL-PROBLEMS [J].

DOYLE, JC ;

GLOVER, K ;

KHARGONEKAR, PP ;

FRANCIS, BA .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1989, 34 (08) :831-847

[7]

Gohberg I., 1982, MATRIX POLYNOMIALS

[8]

Gohberg I., 1986, OPERATOR THEORY ADV, V21

[9]

GOLUB GH, 1993, MATRIX COMPUTATIONS

[10] A J-SPECTRAL FACTORIZATION APPROACH TO H-INFINITY CONTROL [J].

GREEN, M ;

GLOVER, K ;

LIMEBEER, D ;

DOYLE, J .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1990, 28 (06) :1350-1371

← 1 2 3 →