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

页码：488 / 500

页数：13

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