熊良林,钟守铭,叶茂.具有变时滞的离散切换系统的时滞依赖稳定性的新判据[J].数学研究及应用,2011,31(2):224~232 |
具有变时滞的离散切换系统的时滞依赖稳定性的新判据 |
New Delay-Dependent Stability of Uncertain Discrete-Time Switched Systems with Time-Varying Delays |
投稿时间:2009-02-26 修订日期:2009-05-15 |
DOI:10.3770/j.issn:1000-341X.2011.02.005 |
中文关键词: 离散切换系统 差分不等式 切换Lyapunov函数 时滞依赖稳定 线性矩阵不等式. |
英文关键词:discrete-time switched system difference inequality switched Lyapunov function delay-dependent stability linear matrix inequality (LMI). |
基金项目:国家自然科学基金(Grant No.60736029), 教育部新世纪优秀人才支持计划基金资助项目(Grant No.06-0811). |
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中文摘要: |
本文讨论了具有依赖于模型变化的变时滞离散切换系统的鲁棒稳定性。基于切换Lyapunov函数方法和本文新提出的差分不等式,本文得到了使得系统在任意切换下基于线性矩阵不等式的时滞依赖稳定性条件。最后的数值例子证实了本文得到的条件大大的改进了一些现有文献的结果。 |
英文摘要: |
This paper deals with the issues of robust stability for uncertain discrete-time switched systems with mode-dependent time delays. Based on a novel difference inequality and a switched Lyapunov function, new delay-dependent stability criteria are formulated in terms of linear matrix inequalities (LMIs) which are not contained in known literature. A numerical example is given to demonstrate that the proposed criteria improves some existing results significantly with much less computational effort. |
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