A coupled quaternion matrix equations with applications

被引：3

作者：

Liu, Long-Sheng ^{[1
]}

Zhang, Shuo ^{[1
]}

机构：

[1] Anqing Normal Univ, Sch Math & Computat, 1318 Jixian North Rd, Anqing 246011, Anhui, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2023年 / 69卷 / 05期

关键词：

Quaternion; Matrix equations; Moore-Penrose; Rank; SIMULTANEOUS DECOMPOSITION; NONNEGATIVE-DEFINITE; SYLVESTER EQUATION; REDUCIBLE SOLUTION; SYSTEMS; AX;

D O I：

10.1007/s12190-023-01916-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Linear coupled matrix equations are implemented in various domains, including stability analysis of control systems and robust control. The solvability requirements and the solution of the linear coupled system were established in this study. Additionally, as applications of the system, we investigate the linear coupled quaternion system to be compatible and deduce the solvability criteria for matrix equations, including Hermicity. An algorithm and an example are given to illustrate the main results.

引用

页码：4069 / 4089

页数：21

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