NEW DELAY-DEPENDENT STABILITY CRITERIA FOR LINEAR TIME-DELAY SYSTEMS WITH TWO ADDITIVE TIME-VARYING DELAY COMPONENTS

被引：0

作者：

Xiao, Nan ^{[1
,2
]}

Jia, Yingmin ^{[1
,2
,3
]}

机构：

[1] Beihang Univ BUAA, Div Res 7, Beijing 100191, Peoples R China

[2] Beihang Univ BUAA, Dept Syst & Control, Beijing 100191, Peoples R China

[3] Beihang Univ BUAA, Key Lab Math Informat & Behav Semant LMIB, SMSS, Beijing 100191, Peoples R China

来源：

2012 IEEE 2nd International Conference on Cloud Computing and Intelligent Systems (CCIS) Vols 1-3 | 2012年

关键词：

Additive time-varying delay; Delay-dividing method; Interval time-varying delay; LMI;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper studies the stability problem for linear time-delay systems with two additive tim-evarying delay components. Based on Lyapunov stability theory and reciprocally convex lemma, a new delay-dependent stability criterion is obtained by considering the relationship between the two time-varying delays and their upper bounds. By using delay-dividing method, a further improved stability criterion is obtained. The obtained criteria are also extended to cope with the stability problem for this type of interval time-varying delay systems. All the obtained criteria are in terms of Linear Matrix Inequalities (LMIs). Finally, a numerical example is given to show the effectiveness of the proposed method.

引用

页码：1281 / 1286

页数：6

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