Strongly absolute stability problem of descriptor systems

被引：2
|
作者：
Yang, Chunyu [1 ]
Zhang, Qingling [1 ]
Zhou, Linna [1 ]
机构：
[1] NE Univ Shenyang, Inst Syst Sci, Shenyang 110004, Peoples R China
来源：
INFORMATICA | 2007年 / 18卷 / 02期
关键词：
Lur'e type systems; descriptor systems; strongly absolute stability; linear matrix inequality (LMI);
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 paper considers Lur'e type descriptor systems (LDS). The concept of strongly absolute stability is defined for LDS and such a notion is a generalization of absolute stability for Lur'e type standard state-space systems (LSS). A reduced-order LSS is obtained by a standard coordinate transformation and it is shown that the strongly absolute stability of the LDS is equivalent to the absolute stability of the reduced-order LSS. By a generalized Lyapunov function, we derive an LMIs based strongly absolute stability criterion. Furthermore, we present the frequency-domain interpretation of the criterion, which shows that the criterion is a generalization of the classical circle criterion. Finally, numerical examples are given to illustrate the effectiveness of the obtained results.
引用
收藏
页码：305 / 320
页数：16
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