On solutions of generalized Sylvester equation in polynomial matrices

被引：3

作者：

Chen, Sheng ^{[1
]}

Tian, Yunbo ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2014年 / 351卷 / 12期

基金：

中国国家自然科学基金;

关键词：

EXPLICIT SOLUTIONS; NEURAL-NETWORK; Y(LAMBDA)B(LAMBDA); A(LAMBDA)X(LAMBDA); SIMULATION; UNIQUENESS; DIVISORS;

D O I：

10.1016/j.jfranklin.2014.09.024

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper deals with the generalized Sylvester equation in polynomial matrices A(lambda)X(lambda) + Y(lambda)B(lambda) = C(lambda), where A(lambda) and B(lambda) are monic. If the equation has solutions, then it has a solution satisfying a natural degree constraint condition. It is shown that the generalized Sylvester equation in polynomial matrices can be reduced to the linear matrix equation A(R)(n)Y + Sigma(n-1)(i=0)A(R)(i)YB(i)=C, where A(R) is the second block-companion matrix of A(lambda). (C) 2014 The Franldin Institute. Published by Elsevier Ltd. All tights reserved.

引用

页码：5376 / 5385

页数：10

共 26 条

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