Minimal nonsquare J-spectral factorization, generalized bezoutians and common zeros for rational matrix functions

被引：1
|
作者：
Petersen, MA [1 ]
Ran, ACM
机构：
[1] Potchefstroom Univ Christian Higher Educ, Dept Math & Appl Math, ZA-6001 Potchefstroom, South Africa
[2] Free Univ Amsterdam, Fac Wiskunde & Informat, Div Wiskunde & Informat, NL-1081 HV Amsterdam, Netherlands
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2003年 / 47卷 / 02期
关键词：
J-spectral factorization; algebraic Riccati equations; Bezoutians; common zeros;
D O I：
10.1007/s00020-002-1159-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The problem that we solve in this paper is to find (square or nonsquare) minimal J-spectral factors of a rational matrix function with constant signature. Explicit formulas for these J-spectral factors are given in terms of a solution of a particular algebraic Riccati equation. Also, we discuss the common zero structure of rational matrix functions that arise from the analysis of nonsquare J-spectral factors. This zero structure is obtained in terms of the kernel of a generalized Bezoutian.
引用
收藏
页码：197 / 216
页数：20
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