A Constraint System of Generalized Sylvester Quaternion Matrix Equations

被引：24

作者：

Rehman, Abdur ^{[1
]}

Wang, Qing-Wen ^{[2
]}

Ali, Ilyas ^{[1
]}

Akram, Muhammad ^{[1
]}

Ahmad, M. O. ^{[3
]}

机构：

[1] Univ Engn & Technol, Lahore, Pakistan

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

[3] Univ Lahore, Lahore, Pakistan

来源：

ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2017年 / 27卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Quaternion; Generalized Sylvester matrix equation; Exclusive solution; Moore-Penrose inverse; Rank; CONSISTENCY;

D O I：

10.1007/s00006-017-0803-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By keeping in mind the great number of applications of generalized Sylvester matrix equations in systems and control theory, in this paper we establish some necessary and sufficient conditions for the solvability to a system of eight generalized Sylvester matrix equations over the quaternion algebra. The general solution to this system is also constructed when it is solvable. Moreover, an algorithm and a numerical example are also given to make the results of this paper more practical in various fields of engineering. The findings of this paper generalize previous results in the literature.

引用

页码：3183 / 3196

页数：14

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