NEW UPPER AND LOWER EIGENVALUE BOUNDS FOR THE SOLUTION OF THE CONTINUOUS ALGEBRAIC RICCATI EQUATION

被引：11

作者：

Liu, Jianzhou ^{[1
,2
]}

Zhang, Juan ^{[1
]}

机构：

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

[2] Xiangtan Univ, Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan 411105, Hunan, Peoples R China

来源：

ASIAN JOURNAL OF CONTROL | 2014年 / 16卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Eigenvalue; majorization inequality; algebraic Riccati equation; LYAPUNOV EQUATIONS; MATRIX EQUATION;

D O I：

10.1002/asjc.580

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, applying majorization inequalities, new upper and lower bounds for summation of eigenvalues (including the trace) of the solution of the continuous algebraic Riccati equation are presented. Corresponding numerical examples illustrate that our new bounds extend some of the recent results.

引用

页码：284 / 291

页数：8

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