Lyapunov function of general Lurie systems with multiple nonlinearities

被引：20

作者：

Gan, ZX ^{[1
]}

Han, JQ ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS LETTERS | 2003年 / 16卷 / 01期

关键词：

general Lurie system; multinonlinear feedback; absolute stability; Lyapunov function;

D O I：

10.1016/S0893-9659(02)00153-2

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 general Lurie control system with multiple nonlinearities is investigated. Some new necessary and sufficient conditions are obtained for the existence of Lyapunov function of extended Lurie form with negative definite and negative semidefinite derivatives. From these conditions, some very general algebraic criteria for absolute stability are obtained, which extend and generalize previous work on the subject. A numerical example is presented to illustrate the effectiveness of the new criteria. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：119 / 126

页数：8

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