Matrix solution bounds of the continuous Lyapunov equation by using a bilinear transformation

被引：5

作者：

Lee, Chien-Hua ^{[1
]}

Chen, Cheng-Yi ^{[1
]}

机构：

[1] Cheng Shiu Univ, Dept Elect Engn, Kaohsiung 833, Taiwan

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2009年 / 346卷 / 08期

关键词：

Matrix solution bound; Eigenvalue solution bound; Continuous algebraic Lyapunov equation; CONTINUOUS RICCATI; PERTURBED SYSTEMS; ROBUST STABILITY; DISCRETE RICCATI; TRACE BOUNDS; EIGENVALUES;

D O I：

10.1016/j.jfranklin.2009.07.001

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

By using a bilinear transformation and some linear algebraic techniques, new matrix bounds of the solution of the continuous algebraic Lyapunov equation (CALE) are derived in this paper. Comparing to existing works, these obtained matrix bounds are less restrictive and are easy to be calculated. A numerical example is also given to demonstrate the merits of the present results. (C) 2009 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：741 / 751

页数：11

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