Lyapunov-Krasovskii functional for uniform stability of coupled differential-functional equations

被引：94
作者：
Gu, Keqin [1 ]
Liu, Yi [2 ]
机构：
[1] So Illinois Univ, Dept Mech & Ind Engn, Edwardsville, IL 62026 USA
[2] Univ Texas Austin, Dept Mech Engn, Austin, TX 78705 USA
来源：
AUTOMATICA | 2009年 / 45卷 / 03期
关键词：
Stability; Time delay; Lyapunov-Krasovskii functional;
D O I：
10.1016/j.automatica.2008.10.024
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This article discusses the Lyapunov-Krasovskii functional approach for the stability problem of coupled differential-functional equations. Such systems include, as special cases, many types of time-delay systems, including the lossless propagation model, some neutral time-delay systems and singular time-delay systems. After the general stability theory, the special case of coupled differential-difference equations is discussed, and the necessity for the existence of quadratic Lyapunov-Krasovskii functional is established. Discretization is used to render the stability criterion to an LMI form. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：798 / 804
页数：7
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