Lyapunov-krasovskii functional for coupled differential-functional equations

被引：0

作者：

Gu, Keqin ^{[1
]}

Liu, Y. ^{[1
]}

机构：

[1] So Illinois Univ, Dept Mech & Ind Engn, Edwardsville, IL 62026 USA

来源：

PROCEEDINGS OF THE 46TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14 | 2007年

关键词：

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：

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 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. Then the stability conditions for systems with time-varying uncertainty are established based on a quadratic Lyapunov-Krasovskii functional. Discretization is used to render the stability conditions to an LNH form.

引用

页码：1475 / 1480

页数：6

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