| 随机型细胞神经网络的稳定性 |
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| 引用本文： | 文武,杨汉生,徐军,钟守铭. 随机型细胞神经网络的稳定性[J]. 电子科技大学学报(社会科学版), 2005, 0(5) |
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| 作者姓名： | 文武 杨汉生 徐军 钟守铭 |
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| 作者单位： | 达县师范高等专科学校数学系 四川达州635000(文武)，西南科技大学理学院 四川绵阳621002(杨汉生，徐军)，电子科技大学应用数学学院 成都610054(钟守铭) |
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| 基金项目： | 国家自然科学基金资助项目(90208003)，教育部科学技术研究重点项目(02065) |
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| 摘 要： | 借助于李雅谱洛夫理论、矩阵分析方法和It?公式,结合不等式分析技巧,研究了随机细胞神经网络系统的均方指数稳定性,给出了系统的解的二阶矩Liapunov指数估计式和均方指数稳定的充分条件。
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| 关 键 词： | 细胞 随机扰动 神经网络 均方指数稳定 |
Stability of the Stochastic Cellular Neural Networks |
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| WEN Wu ,YANG Han-sheng,XU Jun,ZHONG Shou-ming. Stability of the Stochastic Cellular Neural Networks[J]. Journal of University of Electronic Science and Technology of China(Social Sciences Edition), 2005, 0(5) |
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| Authors: | WEN Wu YANG Han-sheng XU Jun ZHONG Shou-ming |
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| Affiliation: | WEN Wu 1,YANG Han-sheng2,XU Jun2,ZHONG Shou-ming3 |
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| Abstract: | In this paper, the stability of stochastic cellular neural networks is studied. The cellular neural networks have become one of the hot study field internationally because of the important applications of the cellular neural networks theory. With the help of Liapunov theory, the method of matrix analysis, the mean square exponential stability of the stochastic cellular networks is studied. Then the second-order matrix Liapunov exponential estimation formula for the solution to the system is given. And the sufficient conditions of the mean square exponential stability for the solution are also given. |
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| Keywords: | cellular stochastic perturbation neural networks mean square exponential stbility |
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