| 基于LMI方法的多时滞随机神经网络的指数稳定性 |
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| 引用本文： | 汪红初,胡适耕.基于LMI方法的多时滞随机神经网络的指数稳定性[J].数学物理学报(A辑),2010,30(1):42-53. |
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| 作者姓名： | 汪红初 胡适耕 |
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| 作者单位： | 汪红初(华南师范大学数学科学学院,广州,510631);胡适耕(华中科技大学数学与统计学院,武汉,430074) |
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| 摘 要： | 研究了一类具有多个时滞的随机神经网络的均方指数稳定性问题,应用Lyapunov-Krasovskii泛函稳定理论和线性矩阵不等式(LMI)方法,建立了该系统解的指数稳定判别准则,最后通过数值举例阐述了结果的有效性.
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| 关 键 词： | 指数稳定 线性矩阵不等式 Lyapunov-Krasovskii泛函 随机神经网络. |
| 收稿时间： | 2007-11-08 |
| 修稿时间： | 2009-05-31 |
Exponential Stability for Stochastic Neural Networks with Multiple Delays: an LMI Approach |
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| WANG Hong-Chu,HU Shi-Geng.Exponential Stability for Stochastic Neural Networks with Multiple Delays: an LMI Approach[J].Acta Mathematica Scientia,2010,30(1):42-53. |
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| Authors: | WANG Hong-Chu HU Shi-Geng |
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| Institution: | School of Mathematical Sciences, South China Normal University, Guangzhou 510631 |
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| Abstract: | This paper studies mean square exponential stability for a class of stochastic neural networks with multiple constant or time-varying delays.Based on the Lyapunov-Krasovskii stability theory new stability criterion is derived in terms of the linear matrix inequalities (LMIs) for these networks.Some examples are also presented as illustration. |
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| Keywords: | Exponential stability Linear matrix inequality (LMI) Multiple delays Lyapunov-Krasovskii functional Stochastic neural networks |
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