| 具扩散项的模糊BAM神经网络的指数稳定性 |
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| 引用本文： | 向红军.具扩散项的模糊BAM神经网络的指数稳定性[J].郴州师范高等专科学校学报,2010(2):12-19. |
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| 作者姓名： | 向红军 |
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| 作者单位： | 湘南学院数学系,湖南郴州423000 |
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| 基金项目： | 湖南省自科基金项目（09JJ3005）,湖南省科技计划项目（2009JT3042）,湖南省教育厅重点项目（07A066） |
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| 摘 要： | 利用Lyapunov—Krasovskii泛函、线性矩阵不等式方法、不动点理论和分析技巧，讨论了一类带扩散项的模糊BAM神经网络，获得了一些充分条件确保此类系统平衡点的全局指数稳定性．并给出一个实例说明我们的结果是可行的．
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| 关 键 词： | 模糊B AM神经网络 指数稳定性 线性矩阵不等式方法 Lyapunov—Krasovskii泛函 扩散项 |
Exponential Stability of Fuzzy BAM Neural Networks with Diffusion |
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| XIANG Hong-jun.Exponential Stability of Fuzzy BAM Neural Networks with Diffusion[J].Journal of Chenzhou Teachers College,2010(2):12-19. |
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| Authors: | XIANG Hong-jun |
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| Institution: | XIANG Hong-jun ( Department of Mathematics, Xiangnan University, Chenzhou 423000, China) |
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| Abstract: | In this paper, a class of Fuzzy Bi-directiotml Associative Memory（FBAM） neural networks with diffusion is discussed. By using fixed point theorem, Linear Matrix In-equality（LMI） approach, general Lyapunov-Vrasovskii functional and analytic techniques, some sufficient conditions are obtained to ensure the existence, uniqueness and global exponential stability of the equilibrium for FBAM with diffusion. An example is given to illustrate the effectiveness of our results. |
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| Keywords: | fuzzy BAM neural networks exponential stability linear matrix inequality（LMI）approach lyapunov-Krasovskii functional diffusion term |
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