Constraint generalized Sylvester matrix equations

被引：48

作者：

Wang, Qing-Wen ^{[1
]}

Rehman, Abdur ^{[1
,2
]}

He, Zhuo-Heng ^{[1
]}

Zhang, Yang ^{[3
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[2] Univ Engn & Technol, Lahore, Pakistan

[3] Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada

来源：

AUTOMATICA | 2016年 / 69卷

基金：

中国国家自然科学基金; 加拿大自然科学与工程研究理事会;

关键词：

Linear matrix equation; Generalized Sylvester matrix equation; Moore-Penrose inverse; Rank; Explicit solution; SYSTEMS;

D O I：

10.1016/j.automatica.2016.02.024

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, some necessary and sufficient conditions are established for the constraint generalized Sylvester matrix equations to have a common solution. The expression of the general common solution is also given under the solvable conditions. In addition, a numerical example is presented to illustrate the presented theory. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：60 / 64

页数：5

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