Wiener-Hopf factorization indices and infinite structure of rational matrices

被引：6

作者：

Amparan, A ^{[1
]}

Marcaida, S ^{[1
]}

Zaballa, I ^{[1
]}

机构：

[1] Univ Basque Country, Dept Matemat Aplicada & EIO, E-48080 Bilbao, Spain

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2004年 / 42卷 / 06期

关键词：

matrix polynomial; rational matrix; Wiener-Hopf factorization indices; finite invariant factors; infinite structure; majorization;

D O I：

10.1137/S0363012902402591

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The relationship between the infinite structure and the Wiener-Hopf factorization indices of polynomial matrix representations of controllable systems is investigated. On the way, local Wiener-Hopf factorization indices must be defined. In addition, the finite and in finite structure of a rational matrix is characterized given its Wiener-Hopf factorization indices.

引用

页码：2130 / 2144

页数：15

共 16 条

[1]

[Anonymous], 1981, Operator Theory: Advances and Applications

[2] SMITH MCMILLAN FACTORIZATIONS AT INFINITY OF RATIONAL MATRIX FUNCTIONS AND THEIR CONTROL INTERPRETATION [J].

DION, JM ;

COMMAULT, C .

SYSTEMS & CONTROL LETTERS, 1982, 1 (05) :312-320

[3] On some properties of factorization indices [J].

Feldman, I ;

Markus, A .

INTEGRAL EQUATIONS AND OPERATOR THEORY, 1998, 30 (03) :326-337

[4]

FUHRMANN PA, 1979, INTEGR EQUAT OPER TH, V2, P287

[5]

Gohberg I., 1995, Partially specified matrices and operators: classification, completion, applications

[6]

Hardy G. H., 1967, INEQUALITIES

[7] LINEAR FEEDBACK - ALGEBRAIC APPROACH [J].

HAUTUS, MLJ ;

HEYMANN, M .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1978, 16 (01) :83-105

[8] LINEAR FEEDBACK DECOUPLING - TRANSFER-FUNCTION ANALYSIS [J].

HAUTUS, MLJ ;

HEYMANN, M .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1983, 28 (08) :823-832

[9]

Kailath T., 1980, LINEAR SYSTEMS

[10]

MALABRE M, 1984, IEEE T AUTOMAT CONTR, V29, P226

← 1 2 →