Tensor conditions for the existence of a common solution to the Lyapunov equation

被引：21

作者：

Laffey, Thomas J. ^{[1
]}

Smigoc, Helena ^{[1
]}

机构：

[1] Univ Coll Dublin, Dept Math, Dublin 2, Ireland

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2007年 / 420卷 / 2-3期

基金：

爱尔兰科学基金会;

关键词：

Lyapunov equation; common quadratic Lyapunov function; switched linear systems; stability theory;

D O I：

10.1016/j.laa.2006.09.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Necessary and sufficient conditions for the existence of a common solution to the Lyapunov equation for two stable complex matrices are derived. These conditions are applied to the cases when a common weak solution to the Lyapunov equation exists. Conditions for the existence of a common solution to the Lyapunov equation for two complex 2 x 2 and two complex 3 x 3 matrices are derived. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：672 / 685

页数：14

共 10 条

[1]

COHEN N, 1991, 797 DEP EL ENG

[2]

Horn R. A., 1990, MATRIX ANAL

[3] AN ITERATIVE METHOD OF LYAPUNOV FUNCTION CONSTRUCTION FOR DIFFERENTIAL-INCLUSIONS [J].