On the solution to the Sylvester matrix equation AV+BW=EVF

被引：77

作者：

Duan, GR

机构：

[1] Harbin Institute of Technology, Harbin

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1996年 / 41卷 / 04期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1109/9.489286

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A simple, direct, complete and explicit parametric solution of the generalized Sylvester matrix equation AV+BW = EVF is proposed for matrix F in the Jordan form with arbitrary eigenvalues using the Smith canonical form of the matrix [A - sE B]. The obtained solution is in a clear, neat form and may have important applications in descriptor linear system theory.

引用

收藏

页码：612 / 614

页数：3

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