| 具有时滞的广义BAM脉冲神经网络的全局指数稳定性 |
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| 引用本文： | 杨逢建,张超龙,吴东庆. 具有时滞的广义BAM脉冲神经网络的全局指数稳定性[J]. 生物数学学报, 2008, 23(4): 587-593 |
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| 作者姓名： | 杨逢建 张超龙 吴东庆 |
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| 作者单位： | 仲恺农业工程学院,计算科学系,广州,广东,510225 |
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| 基金项目： | Science and technolege plan foundation of Guangzhou under Grant 2006j1-C0341 |
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| 摘 要： | 本文讨论一类具有时滞的广义双向联想记忆（BAM）脉冲神经网络的指数稳定性．利用Banach空间的不动点定理和Lyapunoy泛函，在不假定激励函数有界、单调和可徽的条件下，得到了平衡点的存在唯一性定理及其为全局指数稳定的充分条件．文末通过实例阐释了所获结论的有效性．
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| 关 键 词： | 脉冲 神经网络 时滞 |
Global Stability of Extended BAM Neural Networks with Delays and Impulses |
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| YANG Feng-jian,ZHANG Chao-long,WU Dong-qing. Global Stability of Extended BAM Neural Networks with Delays and Impulses[J]. Journal of Biomathematics, 2008, 23(4): 587-593 |
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| Authors: | YANG Feng-jian ZHANG Chao-long WU Dong-qing |
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| Affiliation: | (Department of Computation Science, Zhongkai University of Agriculture and Technology, Guangzhou Guangdong 510225 China) |
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| Abstract: | This paper is concerned with a class of extended bidirectional associative memory(BAM)neural networks with delays and impulses.By means of fixed point principle in Banach space and Lyapunov function,sufficient conditions are obtained for the existence and global exponential stability of a unique equilibrium without assuming the activation function to be bounded,monotonic or differentiable.An illustrative example is given to demonstrate the effectiveness of the obtained results. |
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| Keywords: | Impulse Neural networks Time delays |
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