On the structure invariants of proper rational matrices with prescribed finite poles

被引：6

作者：

Amparan, A. ^{[1
]}

Marcaida, S.

Zaballa, I.

机构：

[1] Univ Pais Vasco UPV EHU, Dept Matemat Aplicada, Bilbao, Spain

来源：

LINEAR & MULTILINEAR ALGEBRA | 2013年 / 61卷 / 11期

关键词：

proper rational functions; Smith-McMillan form; Wiener-Hopf factorization indices; majorization; WIENER-HOPF FACTORIZATION; INDEXES; SYSTEMS;

D O I：

10.1080/03081087.2012.758365

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The algebraic structure of matrices defined over arbitrary fields whose elements are rational functions with no poles at infinity and prescribed finite poles is studied. Under certain very general conditions, they are shown to be matrices over an Euclidean domain that can be classified according to the corresponding invariant factors. The relationship between these invariants and the local Wiener-Hopf factorization indices will be clarified. This result can be seen as an extension of the classical theorem on pole placement by Rosenbrock in control theory.

引用

页码：1464 / 1486

页数：23

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