Finite iterative solutions to periodic Sylvester matrix equations

被引：41

作者：

Lv, Lingling ^{[1
]}

Zhang, Zhe ^{[1
]}

机构：

[1] North China Univ Water Resources & Elect Power, Inst Elect Power, Zhengzhou 450011, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2017年 / 354卷 / 05期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

POLE ASSIGNMENT; SYSTEMS; STABILITY;

D O I：

10.1016/j.jfranklin.2017.01.004

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The problem considered in this paper is to solve periodic Sylvester matrix equations. A new algorithm is presented to derive the least squares solution of the equations. The proposed iteration can converge to the unique solution of the considered matrix equations at finite steps with arbitrary initial condition. A numerical test result is provided to illustrate the convergence and efficiency of the iterative algorithm. (C) 2017 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：2358 / 2370

页数：13

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