| 具有时滞的细胞神经网络周期解与稳定性 |
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| 引用本文： | 邱亚林,钟守铭.具有时滞的细胞神经网络周期解与稳定性[J].大学数学,2000(1). |
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| 作者姓名： | 邱亚林 钟守铭 |
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| 作者单位： | 龙岩师范专科学校!福建龙岩364000(邱亚林)，电子科大应用数学系!四川成都610054(钟守铭) |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 本文研究了具有时滞的细胞神经网络周期解存在性和平凡解的稳定性问题 .利用 Lyapunov函数法并结合不等式分析技巧 ,我们首先证明了时滞细胞神经网络的解是有界的 ,然后建立了时滞细胞神经网络的周期解的存在准则 ,最后在时滞细胞神经网络有平衡点时 ,给出了神经网络系统的平衡点指数稳定的充分条件 .其结果推广了文 7,8]的相应结果 .
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| 关 键 词： | 细胞神经网络 周期解 时滞 指数稳定性 |
Periodic Solutions and Exponential Stability of Cellular Neural Networks with Delay |
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| QIU Yalin.Periodic Solutions and Exponential Stability of Cellular Neural Networks with Delay[J].College Mathematics,2000(1). |
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| Authors: | QIU Yalin |
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| Abstract: | In this paper, the problem of periodic solutions and stability of Cellular Neural Networks with delay is studied. By making use of the Lyapunov function and combining with the method of inequality analysis, we first prove that the solutions of Cellular Neural Networks are bounded. Then, sufficient conditions are given for the existence of periodic solutions and the exponential stability of Cellular Neural Networks with delay. The conditions are obtained by extending the result of paper7,8]. |
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| Keywords: | CNN Periodic solution delay stability |
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