Systems of coupled generalized Sylvester matrix equations

被引:70
作者
Wang, Qing-Wen [1 ]
He, Zhuo-Heng [1 ]
机构
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
基金
中国国家自然科学基金;
关键词
System of matrix equations; Generalized Sylvester matrix equation; Generalized inverses; General solution; Rank; EIGENSTRUCTURE ASSIGNMENT; ITERATIVE SOLUTIONS; DESIGN; ROBUST; CONSISTENCY; OBSERVERS;
D O I
10.1016/j.automatica.2014.10.033
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper studies some systems of coupled generalized Sylvester matrix equations. We present some necessary and sufficient conditions for the solvability to these systems. We give the expressions of the general solutions to the systems when their solvability conditions are satisfied. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2840 / 2844
页数:5
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