A new method for solving Bezout equations over 2-D polynomial matrices from delay systems

被引：2
|
作者：
Kosugi, Nobuko [1 ]
Suyama, Koichi [1 ]
机构：
[1] Tokyo Univ Marine Sci & Technol, Koto Ku, Tokyo 1358533, Japan
来源：
SYSTEMS & CONTROL LETTERS | 2012年 / 61卷 / 06期
关键词：
2-D polynomial matrix; Bezout equation; Delay system; Coprimeness; FINITE SPECTRUM ASSIGNMENT;
D O I：
10.1016/j.sysconle.2012.03.009
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In the algebraic system theory of delay systems, it is well known that under spectral controllability or canonicity, a Bezout equation set up with a coprime pair of 2-D polynomial matrices has a solution in polynomial matrices with coefficient belonging to a ring of entire functions. We propose a new method for solving such Bezout equations. The basic concept involves the reduction of a Bezout equation over 2-D polynomial matrices to a simple scalar equation over 1-D polynomials. Due to the basic concept, it can be used to calculate a solution even by hand and is particularly efficient in the absence of modern computer algebra systems. (C) 2012 Elsevier B.V. All rights reserved.
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页码：723 / 729
页数：7
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