New solution bounds for the continuous algebraic Riccati equation

被引：22

作者：

Liu, Jianzhou ^{[1
]}

Zhang, Juan ^{[1
]}

Liu, Yu ^{[2
]}

机构：

[1] Xiangtan Univ, Dept Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China

[2] Hanshan Normal Univ, Dept Math Sci & Informat Technol, Chaozhou 521041, Guangdong, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2011年 / 348卷 / 08期

基金：

中国国家自然科学基金;

关键词：

MATRIX BOUNDS;

D O I：

10.1016/j.jfranklin.2011.06.007

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, by constructing the equivalent form of the continuous algebraic Riccati equation and utilizing the eigenvalue and singular value inequalities of matrix's sum and product, we propose new lower and upper matrix bounds for the solution of the continuous algebraic Riccati equation. Finally, we give corresponding numerical examples to illustrate the effectiveness of our results. (C) 2011 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：2128 / 2141

页数：14

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