| 不确定变时滞随机系统的鲁棒均方指数稳定性 |
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| 引用本文： | 华民刚,邓飞其,彭云建. 不确定变时滞随机系统的鲁棒均方指数稳定性[J]. 控制理论与应用, 2009, 26(5): 558-561 |
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| 作者姓名： | 华民刚 邓飞其 彭云建 |
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| 作者单位： | 华南理工大学,自动化科学与工程学院,广东,广州,510640;华南理工大学,自动化科学与工程学院,广东,广州,510640;华南理工大学,自动化科学与工程学院,广东,广州,510640 |
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| 基金项目： | 国家自然科学基金资助项目(60874114); 广东省自然科学基金资助项目(011629). |
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| 摘 要： | 研究了不确定变时滞随机系统的鲁棒均方指数稳定性问题, 不确定性是范数有界的. 通过构造Lyapunov泛函, 得到了基于线性矩阵不等式的鲁棒均方指数稳定的充分条件. 最后给出实例加以验证所提出方法的有效性.
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| 关 键 词： | 随机系统 均方指数稳定性 线性矩阵不等式(LMI) |
| 收稿时间： | 2008-03-05 |
| 修稿时间： | 2008-11-14 |
Robust mean square exponential stability of uncertain stochastic systems with time-varying delay |
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| HUA Min-gang,DENG Fei-qi and PENG Yun-jian. Robust mean square exponential stability of uncertain stochastic systems with time-varying delay[J]. Control Theory & Applications, 2009, 26(5): 558-561 |
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| Authors: | HUA Min-gang DENG Fei-qi PENG Yun-jian |
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| Affiliation: | College of Automation Science and Technology, South China University of Technology, Guangzhou Guangdong 510640, China;College of Automation Science and Technology, South China University of Technology, Guangzhou Guangdong 510640, China;College of Automation Science and Technology, South China University of Technology, Guangzhou Guangdong 510640, China |
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| Abstract: | The problem of robust mean square exponential stability for uncertain stochastic systems with time-varying delay is discussed. The uncertainty is assumed to be of norm-bounded form. The robust mean square exponential stability condition is then derived on the basis of linear matrix inequalities by constructing Lyapunov-Krasovskii functional. Finally, a numerical example is given to illustrate the effectiveness of the proposed method. |
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| Keywords: | stochastic systems mean square exponential stability linear matrix inequality(LMI) |
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