FACTORIZATIONS OF AND EXTENSIONS TO J-UNITARY RATIONAL MATRIX FUNCTIONS ON THE UNIT-CIRCLE

被引：22

作者：

GOHBERG, I

KAASHOEK, MA

RAN, ACM

机构：

[1] TEL AVIV UNIV,RAYMOND & BEVERLY FAC EXACT SCI,SCH MATH SCI,IL-69978 TEL AVIV,ISRAEL

[2] FREE UNIV AMSTERDAM,FAC WISKUNDE & INFORMAT,1081 HV AMSTERDAM,NETHERLANDS

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 1992年 / 15卷 / 02期

关键词：

D O I：

10.1007/BF01204239

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper concerns two topics: (1) minimal factorizations in the class of J-unitary rational matrix functions on the unit circle and (2) completions of contractive rational matrix functions on the unit circle to two by two block unitary rational matrix functions which do not increase the McMillan degree. The results are given in terms of a special realization which does not require any additional properties at zero and at infinity. The unitary completion result may be viewed as a generalization of Darlington synthesis.

引用

页码：262 / 300

页数：39

共 16 条

[1] ALPAY D, 1986, I SCHUR METHOD OPERA, V18, P89
[2] ALPAY D, 1988, TOPICS INTERPOLATION, V33, P175
[3] Anderson B. D. O., 1973, NETWORK ANAL SYNTHES
[4] Ball J.A., 1990, INTERPOLATION RATION, V45
[5] Bart H., 1979, MINIMAL FACTORIZATIO, V1
[6] CHURILOV AN, 1979, SIBERIAN MATH J+, V20, P600
[7] DEWILDE P, 1976, SIAM J CONTROL, V14, P712, DOI 10.1137/0314046
[8] DYM H, 1989, TOPICS ANALYSIS O 41, V2, P173
[9] GOHBERG I, 1988, TOPICS INTERPOLATION, V33, P109
[10] Gohberg I., 1983, MATRICES INDEFINITE, V8

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