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.
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页码：1281 / 1286
页数：6
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