Necessary and sufficient stability condition of discrete state delay systems

被引：0

作者：

Suh, YS ^{[1
]}

Ro, YS ^{[1
]}

Kang, HJ ^{[1
]}

Lee, HH ^{[1
]}

机构：

[1] Univ Ulsan, Dept Elect Engn, Ulsan 680749, South Korea

来源：

INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2004年 / 2卷 / 04期

关键词：

time delay systems; stability; Lyapunov function; discrete systems;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A new method to solve a Lyapunov equation for a discrete delay system is proposed. Using this method, a Lyapunov equation can be solved from a simple linear equation and N-th power of a constant matrix, where N is the state delay. Combining a Lyapunov equation and frequency domain stability, a new stability condition is proposed for a discrete state delay system whose state delay is not exactly known but only known to lie in a certain interval.

引用

页码：501 / 508

页数：8

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