On the sensitivity of the coupled discrete-time Lyapunov equation

被引：3
|
作者：
Czornik, A [1 ]
Swierniak, A [1 ]
机构：
[1] Silesian Tech Univ, Dept Automat Control, PL-44101 Gliwice, Poland
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2001年 / 46卷 / 04期
关键词：
coupled Lyapunov equation; jump linear system; stability;
D O I：
10.1109/9.917673
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The sensitivity of coupled discrete-time Lyapunov equations is analyzed through three types of norms of the inverse Lyapunov-like operator. This analysis leads to bounds on the relative perturbation of the solution. These results extend the results for standard Lyapunov equation presented in [3].
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页码：659 / 664
页数：6
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