| 一类时变时滞切换系统的稳定性 |
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| 引用本文： | 朱进,魏巍. 一类时变时滞切换系统的稳定性[J]. 锦州师范学院学报(自然科学版), 2014, 0(1): 28-33 |
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| 作者姓名： | 朱进 魏巍 |
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| 作者单位： | 渤海大学 数理学院,辽宁 锦州121013 |
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| 基金项目： | 国家自然科学基金项目（No：11226138）. |
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| 摘 要： | 本文讨论了一类时变时滞切换系统的稳定性。首先，对系统进行了广义模型变化；然后，通过构造适当的Lyapunov函数，使用了积分不等式，并且引入一些自由权矩阵，得到了基于线性矩阵不等式的系统稳定性判据。文中对时变时滞的导数并不做要求。最后，通过仿真算例说明了所得到的结论在保守性上优于现存的结果。
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| 关 键 词： | 切换系统 时变时滞 Lyapunov函数 线性矩阵不等式 |
The stability of a class of switching system with time -varying delay |
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| ZHU Jin,WEI Wei. The stability of a class of switching system with time -varying delay[J]. Journal of Jinzhou Normal College (Natural Science Edition), 2014, 0(1): 28-33 |
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| Authors: | ZHU Jin WEI Wei |
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| Affiliation: | ( College of Mathematics and physics,Bohai Vnirersity, Jinzhou 121013,China) |
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| Abstract: | This paper discussed the stability of a class of switching system with time -varying delay.Firstly, system model for generalized model change;then, by constructing a new Lyapunov function , using integral ine-quality and introducing free weighting matrices , we derive a new asymptotic stability criterion in term of the line-ar matrix inequality （LMI）.The derivate of the time -varying delay is not required .Finally, numerical examples demonstrate the improvements over existing results . |
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| Keywords: | switching system Lyapunov function LMI time-varying delay |
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