On improved delay-dependent robust stability criteria for uncertain systems with interval time-varying delay

被引：15

作者：

Hui J.-J. ^{[1
,2
]}

Zhang H.-X. ^{[1
]}

Kong X.-Y. ^{[1
]}

Zhou X. ^{[1
]}

机构：

[1] The Xi’an Research Institute of High Technology, Xi’an

[2] The Baoji Research Institute of High Technology, Baoji

来源：

International Journal of Automation and Computing | 2014年 / 12卷 / 01期

基金：

中国国家自然科学基金;

关键词：

delay decomposition approach; interval time-varying delay; linear matrix inequality (LMI); Lyapunov-Krasovskii (L-K) functional; robust stability;

D O I：

10.1007/s11633-014-0822-5

中图分类号：

学科分类号：

摘要：

This paper considers the problem of delay-dependent robust stability for uncertain systems with interval time-varying delays. By using the direct Lyapunov method, a new Lyapunov-Krasovskii (L-K) functional is introduced based on decomposition approach, when dealing with the time derivative of L-K functional, a new tight integral inequality is adopted for bounding the cross terms. Then, a new less conservative delay-dependent stability criterion is formulated in terms of linear matrix inequalities (LMIs), which can be easily solved by optimization algorithms. Numerical examples are given to show the effectiveness and the benefits of the proposed method. © 2015, Institute of Automation, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg.

引用

页码：102 / 108

页数：6

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