Lyapunov functional for multiple delay general Lurie systems with multiple non-linearities

被引：40

作者：

Gan, ZX ^{[1
]}

Ge, WG

机构：

[1] Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China

[2] Beijing Inst Technol, Dept Appl Math, Beijing 100081, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2001年 / 259卷 / 02期

基金：

中国国家自然科学基金;

关键词：

general Lurie system; delay; multiple non-linearities; absolute stability; Lyapunov functional;

D O I：

10.1006/jmaa.2001.7433

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the absolute stability problem of a multiple delay general Lurie control system with multiple non-linearities is considered. Necessary and sufficient conditions are obtained for the existence of the Lyapunov functional of extended Lurie form with negative definite derivative. From those conditions, a very general algebraic criterion for absolute stability is obtained, which extends the previous results. A concise example illustrates the effectiveness of the present results. (C) 2001 Academic Press.

引用

页码：596 / 608

页数：13

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