Solutions to matrix equations X - AXB = CY plus R and X - A(X)over-capB = CY plus R

被引：5
|
作者：
Song, Caiqin [1 ]
Chen, Guoliang [2 ]
机构：
[1] Univ Jinan, Sch Math Sci, Jinan 250022, Shandong, Peoples R China
[2] East China Normal Univ, Dept Math, Shanghai 200241, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2018年 / 343卷
基金：
美国国家科学基金会;
关键词：
Closed-form solution; Quaternion matrix equation; Real representation; UNKNOWN INPUT OBSERVERS; FAULT-DETECTION FILTERS; EIGENSTRUCTURE ASSIGNMENT; PARAMETRIC SOLUTIONS; QUATERNION MATRICES; COMPLEX MATRICES; SYSTEMS; SYLVESTER; CONSIMILARITY; FEEDBACK;
D O I：
10.1016/j.cam.2018.05.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The present work proposed an alternative approach to find the closed-form solutions of the nonhomogeneous Yakubovich matrix equation X - AXB = CY + R. Based on the derived closed-form solution to the nonhomogeneous Yakubovich matrix equation, the solutions to the nonhomogeneous Yakubovich quaternion j-conjugate matrix equation X A (X) over capB = CY + R are obtained by the use of the real representation of a quaternion matrix. The existing complex representation method requires the coefficient matrix A to be a block diagonal matrix over complex field. In contrast in this publication we allow a quaternion matrix of any dimension. As an application, eigenstructure assignment problem for descriptor linear systems is considered. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码：488 / 500
页数：13
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