| 含脉冲的时标神经网络的平衡解的存在唯一性（英文） |
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| 引用本文： | 杨逢建,丁问司,吴东庆,张超龙,陈新明.含脉冲的时标神经网络的平衡解的存在唯一性（英文）[J].仲恺农业工程学院学报,2014(2):32-35. |
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| 作者姓名： | 杨逢建 丁问司 吴东庆 张超龙 陈新明 |
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| 作者单位： | 仲恺农业工程学院计算科学学院;华南理工大学机械与汽车工程学院 |
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| 基金项目： | Supported by National Natural Science Foundation of China(50775075) |
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| 摘 要： | 讨论了一般性的具有脉冲和时滞的时标神经网络解的存在条件.利用非光滑分析和李雅普诺夫泛函,在不假定激励函数有界和可微的条件下,得到了这类神经网络存在唯一的平衡点的充分条件.作为特例,得到了具有脉冲和时滞的时标Hopfield神经网络、细胞神经网络、双向联想记忆神经网络等系统的平衡解的存在唯一性条件.
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| 关 键 词： | 脉冲神经网络 时标 粒度函数 同态映射 平衡解 |
Existence and uniqueness of equilibrium solution for impulsive neural networks on time scales |
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| YANG Fengjian;DING Wensi;WU Dongqing;ZHANG Chaolong;CHEN Xinming.Existence and uniqueness of equilibrium solution for impulsive neural networks on time scales[J].Journal of Zhongkai University of Agriculture and Technology,2014(2):32-35. |
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| Authors: | YANG Fengjian;DING Wensi;WU Dongqing;ZHANG Chaolong;CHEN Xinming |
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| Institution: | YANG Fengjian;DING Wensi;WU Dongqing;ZHANG Chaolong;CHEN Xinming;Department of Computational Science,Zhongkai University of Agriculture and Engineering;School of Mechanical and Automotive Engineering,South China University of Technology; |
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| Abstract: | The dynamics properties of general neural networks with delays and impulses on time scales was discussed .By means of nonsmooth analysis and Lipschitz functional , sufficient conditions were ob-tained for the existence and uniqueness of equilibrium solution without assuming the activation function to be bounded or differentiable .As special cases , the existence and uniqueness of equilibrium solution for Hopfield neural networks , delayed cellular neural networks and bidirectional associative memory networks with impulses on time scales were obtained . |
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| Keywords: | impulsive neural networks time scale graininess function homeomorphism equilibrium solution |
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