| 非线性时滞随机模糊系统的均方镇定 |
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| 引用本文： | 杨爱娜,胡良剑.非线性时滞随机模糊系统的均方镇定[J].纺织高校基础科学学报,2007,20(1):25-29. |
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| 作者姓名： | 杨爱娜 胡良剑 |
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| 作者单位： | 东华大学,应用数学系,上海,200051 |
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| 摘 要： | 提出了一类基于T-S模糊模型的非线性时滞随机系统均方镇定的LMI通用设计方法.利用具有时滞的非线性随机系统的Lyapunov稳定性理论,导出闭环系统均方指数稳定的矩阵不等式(LMI)条件,最后通过数值例子说明了方法的有效性.
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| 关 键 词： | 时滞 T-S模糊系统 非线性随机系统 均方指数稳定 线性矩阵不等式(LMI) |
| 文章编号： | 1006-8341（2007）01-0025-05 |
| 收稿时间： | 2006-08-23 |
| 修稿时间： | 2006年8月23日 |
Mean square stablliation of T-S fuzzy stochastic systems with time-delays |
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| YANG Ai-na,HU Liang-jian.Mean square stablliation of T-S fuzzy stochastic systems with time-delays[J].Basic Sciences Journal of Textile Universities,2007,20(1):25-29. |
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| Authors: | YANG Ai-na HU Liang-jian |
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| Affiliation: | Department of Applied Mathematics, Donghua University, Shanghai 200051, China |
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| Abstract: | A LMI design method for mean square stabilization of a class of nonlinear stochastic systems with time-delay based on the T-S fuzzy model is introduced.By means of Lyapunov stability theorems of nonlinear stochastic systems with time-delays,some mean square exponential stability conditions with time-delays are deduced to linear matrix inequality(LMI) problems.The design procedure and performance are illustrated by a numerical example. |
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| Keywords: | time-delay T-S fuzzy system nonlinear stochastic system mean square exponential stability linear matrix inequality(LMI) |
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