| 变系数变时滞分层抑制细胞神经网络的概周期解 |
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| 引用本文： | 吴雁. 变系数变时滞分层抑制细胞神经网络的概周期解[J]. 烟台大学学报(自然科学与工程版), 2013, 26(4): 235-239 |
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| 作者姓名： | 吴雁 |
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| 作者单位： | 烟台大学数学与信息科学学院,山东烟台,264005 |
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| 基金项目： | 山东省教育厅基金资助项目 |
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| 摘 要： | 研究了变系数变时滞分流抑制细胞神经网络问题.在没有假设激活函数有界的条件下,利用指数二分法,不动点定理和微分不等式技巧,得到了保证变系数变时滞分流抑制细胞神经网络的概周期解的存在性和k-全局指数稳定性的充分条件.所得结果是新的,推广并改进了现有文献的结论.文末一个例子用以说明判据的可行性.
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| 关 键 词： | 概周期解 分流抑制细胞神经网络 指数二分法 不动点定理 |
Almost Periodic Solutions for Shunting Inhibitory Cellular Neural Networks with Variable Coefficients and Delays |
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| WU Yan. Almost Periodic Solutions for Shunting Inhibitory Cellular Neural Networks with Variable Coefficients and Delays[J]. Journal of Yantai University(Natural Science and Engineering edirion), 2013, 26(4): 235-239 |
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| Authors: | WU Yan |
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| Affiliation: | WU Yan (School of Mathematics and Information Science, Yantai University, Yantai 264005, China) |
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| Abstract: | The shunting inhibitory cellular neural networks（SICNNs） with variable coefficients and delays are con- sidered. Without assuming the boundedness of activation functions, some sufficient conditions for the existence and k-global exponential stability of the unique almost periodic solution for the SICNNs are established by using expo- nentialdiehotomy, fixed point theorem and differential inequality technique. The present results generalize the known ones. An example is given to illustrate that the criterion is feasible. |
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| Keywords: | almost periodic solution shunting inhibitory cellular neural networks exponential dichotomy fixed point theorem |
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