LMI Stability Criterion with Less Variables for Time-delay Systems

被引：0

作者：

Zhu, Xun-Lin ^{[1
,4
]}

Yang, Guang-Hong ^{[1
,2
]}

Li, Tao ^{[3
]}

Lin, Chong ^{[5
]}

Guo, Lei ^{[6
]}

机构：

[1] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110004, Peoples R China

[2] Northeastern Univ, Key Lab Integrated Automat Proc Ind, Minist Educ, Shenyang 110004, Peoples R China

[3] Southeast Univ, Minist Educ, Key Lab Measurement & Control Complex Syst Engn, Nanjing 210096, Peoples R China

[4] Zhengzhou Univ Light Ind, Sch Comp & Commun Engn, Zhengzhou 450002, Henan, Peoples R China

[5] Qingdao Univ, Coll Automat Engn, Inst Complex Sci, Qingdao 266071, Peoples R China

[6] Beihang Univ, Sch Instrument Sci & Optoelect Engn, Beijing 100083, Peoples R China

来源：

INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2009年 / 7卷 / 04期

关键词：

Delay-dependent; linear matrix inequality (LMI); stability; DEPENDENT ROBUST STABILITY; H-INFINITY CONTROL; LINEAR-SYSTEMS; NEUTRAL SYSTEMS; STABILIZATION; FEEDBACK;

D O I：

10.1007/s12555-009-0404-4

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Slack variables approach is an important technique for tackling the delay-dependent stability problem for systems with time-varying delay. In this paper, a new delay-dependent stability criterion is presented without introducing any slack variable. The technique is based on a simply integral inequality. The result is shown to be equivalent to some existing ones but includes the least number of variables. Thus, redundant selection and computation can be avoided so that the computational burden can be largely reduced. Numerical examples are given to illustrate the effectiveness of the proposed stability conditions.

引用

页码：530 / 535

页数：6

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