| 具有脉冲的忆阻器神经网络周期解的稳定性 |
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| 引用本文： | 王玲玲,武怀勤,丁三波,郭雪清,张璐莹.具有脉冲的忆阻器神经网络周期解的稳定性[J].郑州大学学报(自然科学版),2014(2):31-38,42. |
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| 作者姓名： | 王玲玲 武怀勤 丁三波 郭雪清 张璐莹 |
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| 作者单位： | 燕山大学理学院,河北秦皇岛066004 |
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| 基金项目： | 河北省自然科学基金资助项目,编号A2011203103;河北省教育厅自然科学科研计划项目,编号2009157,6/8. |
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| 摘 要： | 研究了具有脉冲的忆阻器神经网络周期解的存在性、唯一性和稳定性.利用Leray-Schauder选择定理,研究此网络周期解的存在性,脉冲控制矩阵的元素小于2.借助矩阵测度定义,给出了一个能够保证其周期解唯一且全局指数稳定的充分条件.最后给出了一个数例来说明结果的有效性.
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| 关 键 词： | 忆阻器 神经网络 周期解 脉冲 |
Stability Analysis of Periodic Solution for Memristor-based Neural Networks with Impulses |
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| WANG Ling-ling,WU Huai-qin,DING San-bo,GUO Xue-qing,ZHANG Lu-ying.Stability Analysis of Periodic Solution for Memristor-based Neural Networks with Impulses[J].Journal of Zhengzhou University (Natural Science),2014(2):31-38,42. |
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| Authors: | WANG Ling-ling WU Huai-qin DING San-bo GUO Xue-qing ZHANG Lu-ying |
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| Institution: | 1.College of Sciences,Yanshan University,Qinhuangdao 066004,China) |
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| Abstract: | The existence,uniqueness and stability of periodic solution for a class of memristor-based neural networks with impulses were studied.By using the Leray-Schauder ahemative theorem,the existence of periodic solution for this neural network was investigated.The elements of impulsive control matrices were less than 2.By using the definition of matrix measure,a sufficient condition which ensured the uniqueness and global exponential stability of the periodic solution was given.An illustrative numerical example was also given to show the effectiveness of the results. |
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| Keywords: | memristor neural network periodic solution impulse |
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