Strongly absolute stability of Lur'e type differential-algebraic systems

被引：16

作者：

Yang, Chunyu ^{[1
]}

Zhang, Qingling ^{[1
]}

Zhou, Linna ^{[1
]}

机构：

[1] Northeastern Univ, Inst Syst Sci, Shenyang 110004, Liaoning, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 336卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Lur'e type systems; differential-algebraic systems; strongly absolute stability; Popov criterion; linear matrix inequality (LMI);

D O I：

10.1016/j.jmaa.2007.02.067

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider Lur'e type differential-algebraic systems (LDS) and introduce the concept of strongly absolute stability. Such a notion is a generalization of absolute stability for Lur'e type standard state-space systems (LSS). By a Lur'e type Lyapunov function, we derive an LMI based stability criterion for LDS to be strongly absolutely stable. Using extended strictly positive realness (ESPR), we present the frequency-domain interpretation of the obtained criterion, by which we simplify the criterion and show that the criterion is a generalization of the well-known Popov criterion. Finally, we illustrate the effectiveness of the main results by a numerical example. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：188 / 204

页数：17

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