A new solution to the generalized Sylvester matrix equation AV-EVF=BW

被引：153

作者：

Zhou, B ^{[1
]}

Duan, GR ^{[1
]}

机构：

[1] Harbin Inst Technol, Ctr Control Syst & Guidance Technol, Harbin 150001, Peoples R China

来源：

SYSTEMS & CONTROL LETTERS | 2006年 / 55卷 / 03期

关键词：

generalized sylvester matrix equations; general solutions; parametric solutions; right factorization; linear systems;

D O I：

10.1016/j.sysconle.2005.07.002

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 note deals with the problem of solving the generalized Sylvester matrix equation AV - EVF = BW, with F being an arbitrary matrix, and provides complete general parametric expressions for the matrices V and W satisfying this equation. The primary feature of this solution is that the matrix F does not need to be in any canonical form, and may be even unknown a priori. The results provide great convenience to the computation and analysis of the solutions to this class of equations, and can perform important functions in many analysis and design problems in control systems theory. (C) 2005 Elsevier B.V. All rights reserved.

引用

页码：193 / 198

页数：6

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