| 凸多面体不确定混合时滞系统的均方指数稳定 |
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| 引用本文： | 郭晓宝,焦贤发,周堂春.凸多面体不确定混合时滞系统的均方指数稳定[J].合肥工业大学学报(自然科学版),2012,35(8):1134-1138. |
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| 作者姓名： | 郭晓宝 焦贤发 周堂春 |
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| 作者单位： | 1. 合肥工业大学数学学院,安徽合肥,230009
2. 陆军军官学院数学教研室,安徽合肥,230031 |
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| 基金项目： | 国家自然科学基金资助项目(11172086) |
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| 摘 要： | 文章讨论了一类凸多面体不确定系统的均方指数稳定性问题,考虑了带有Markov跳变参数系统中同时具有时变与分布时滞的混合时滞情形,通过基于二次稳定的概念构造系统的Lyapunov-Krasovskii候选函数,得出该类带有混合时滞的凸多面体不确定系统的均方指数稳定的充分条件；最后通过数值例子验证了该方法的可行性与有效性.
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| 关 键 词： | Markov跳 均方指数稳定 凸多面体不确定性 混合时滞 |
Exponential stability in mean-square of mixed time-delay system with polytopic uncertainties |
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| GUO Xiao-bao
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JIAO Xian-fa
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ZHOU Tang-chun.Exponential stability in mean-square of mixed time-delay system with polytopic uncertainties[J].Journal of Hefei University of Technology(Natural Science),2012,35(8):1134-1138. |
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| Authors: | GUO Xiao-bao JIAO Xian-fa ZHOU Tang-chun |
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| Institution: | 1.School of Mathematics,Hefei University of Technology,Hefei 230009,China;2.Teaching and Research Section of Mathematics,Academy of Army Officers,Hefei 230031,China) |
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| Abstract: | The exponential stability in mean-square for a class of polytopic uncertain systems is discussed.The mixed time delay including both time-varying and distributed delay in the system with Markovian jump parameters is described.A sufficient condition for the exponential stability in mean-square of the mixed time-delay system with polytopic uncertainties is derived by using a Lyapunov-Krasovskii candidate function built based on the concept of quadratic stability.The numerical example shows that the proposed method is feasible and effective. |
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| Keywords: | Markov jump exponential stability in mean-square polytopic uncertainty mixed time delay |
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