New Upper Matrix Bounds of the Solution for Perturbed Continuous Coupled Algebraic Riccati Matrix Equation

被引：5

作者：

Liu, Jianzhou ^{[1
,2
]}

Zhang, Juan ^{[2
]}

机构：

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

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

来源：

INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2012年 / 10卷 / 06期

关键词：

Continuous coupled algebraic Riccati equation; eigenvalue; eigenvalue inequality; matrix bound; perturbed continuous coupled algebraic Riccati equation; JUMP LINEAR-SYSTEMS; STABILIZATION; OPTIMIZATION;

D O I：

10.1007/s12555-012-0621-0

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, if the coefficient matrices in the continuous coupled algebraic Riccati equation (CCARE) undergo perturbations, with the aid of the equivalent form for the perturbation of the CCARE and the classical eigenvalue inequalities, we observe new upper matrix bounds for the perturbation of the CCARE through solving the linear inequalities. Finally, we present corresponding numerical examples to show the effectiveness of the derived results.

引用

页码：1254 / 1259

页数：6

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