| 分布时滞模糊BAM神经网络模型的指数稳定性 |
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| 引用本文： | 徐晓琳,钱莉娜,王良龙.分布时滞模糊BAM神经网络模型的指数稳定性[J].合肥学院学报(自然科学版),2009,19(3):12-15. |
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| 作者姓名： | 徐晓琳 钱莉娜 王良龙 |
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| 作者单位： | 安徽大学,数学科学学院,合肥,230039 |
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| 基金项目： | 国家自然科学基金项目，安徽省自然科学基金项目，安徽省教育厅自然科学基金重点项目，安徽省高校人才基金项目，安徽大学研究生部科技创新与重点课程建设项目资助 |
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| 摘 要： | 详细介绍了一类具分布时滞的模糊BAM（Bi·direction Associate Memory）神经网络模型．在合适的条件下，通过数学分析技巧和压缩映像原理，证明了模型平衡点的存在唯一性；通过构造Liapunov泛函，利用Lipschitz激励函数性质，获得了平衡点的指数稳定性．
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| 关 键 词： | 模糊BAM神经网络 指数稳定性 Liapunov泛函 分布时滞 |
Exponential Stability of Fuzzy BAM Neural Networks with Distributed Delays |
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| XU Xiao-lin,QIAN Li-na,WANG Liang-long.Exponential Stability of Fuzzy BAM Neural Networks with Distributed Delays[J].Journal of Hefei University :Natural Sciences,2009,19(3):12-15. |
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| Authors: | XU Xiao-lin QIAN Li-na WANG Liang-long |
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| Institution: | School of Mathematical Science;Anhui University;Hefei 230039;China |
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| Abstract: | A class of fuzzy bi-direction associate memory(BAM) neural network models with distributed delays is introduced.Under suitable conditions,the existence and uniqueness of positive equilibrium are obtained by using analysis techniques and contraction mapping principles.The exponential stability of positive equilibrium is established by constructing Lyapunov functionals and using properties of Lipschitzian activation functions. |
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| Keywords: | fuzzy BAM neural networks exponential stability Lyapunov functions distributed delays |
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