Further results on robust stability for uncertain neutral systems with distributed delay

被引：0
|
作者：
Tao Wu
Lianglin Xiong
Jinde Cao
Xinzhi Liu
机构：
[1] Yunnan Minzu University,School of Mathematics and Computer Science
[2] Southeast University,School of Mathematics
[3] University of Waterloo,Department of Applied Mathematics
来源：
Journal of Inequalities and Applications | / 2018卷
关键词：
Robust stability; Uncertain neutral delayed system; Delay-dependent stability; Lyapunov functional; Linear matrix inequalities;
D O I：
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学科分类号：
摘要：
This paper studies the problem of robust stability for uncertain neutral systems with distributed delay. By utilizing the incorporation of a new integral inequality technique and a novel Lyapunov–Krasovskii functional, some reduced conservative delay-dependent stability conditions for asymptotic stability are established. Then some special cases of neutral systems are discussed. Based on these delay-dependent stability conditions, the condition for robustness is obtained for uncertain linear delayed systems. All these stability conditions are given in terms of linear matrix inequalities (LMIs), which can easily be computed by the LMI toolbox of Matlab. Finally, several examples are discussed in detail to display the usefulness and superiority of the obtained results.
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