| 具有S分布时滞细胞神经网络的全局指数稳定性 |
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| 引用本文： | 谌红美,王林山.具有S分布时滞细胞神经网络的全局指数稳定性[J].中国海洋大学学报(自然科学版),2012,42(3):96-100. |
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| 作者姓名： | 谌红美 王林山 |
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| 作者单位： | 中国海洋大学数学科学学院,山东青岛,266100 |
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| 基金项目： | 国家自然科学基金，山东省自然科学基金重点项目 |
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| 摘 要： | 研究了一类具有S分布时滞细胞神经网络的全局指数稳定性.利用Banach不动点定理,通过构造Lyapunov 泛函,结合Hardy不等式和推广的Halanay时滞微分不等式,给出了全局指数稳定性的充分条件,并做出了比较说明.
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| 关 键 词： | 细胞神经网络 S分布时滞 Lyapunov泛函 全局指数稳定性 |
Global Exponential Stability of Cellular Neural Networks with S-Distributed Delays |
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| CHEN Hong-Mei
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WANG Lin-Shan.Global Exponential Stability of Cellular Neural Networks with S-Distributed Delays[J].Periodical of Ocean University of China,2012,42(3):96-100. |
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| Authors: | CHEN Hong-Mei WANG Lin-Shan |
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| Institution: | (School of Mathematical Science,Ocean University of China,Qingdao 266100,China) |
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| Abstract: | Global exponential stability of cellular neural networks with S-distributed delays is considered.A sufficient condition to guarantee the global exponential stability is obtained by using Banach’s fixed point theorem,constructing Lyapunov’s functional and combining with Hardy inequality and the promotion of the Halanay’s delay differential inequality.And made comparison to illustrate the result. |
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| Keywords: | neural networks S-distributed delays Lyapunov function global exponential stability |
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