| 时标上具有界和无界时滞的Cohen—Grossberg神经网络的全局指数稳定性 |
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| 引用本文： | 岳远望,谷群花,陈安平. 时标上具有界和无界时滞的Cohen—Grossberg神经网络的全局指数稳定性[J]. 湘南学院学报, 2009, 30(2) |
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| 作者姓名： | 岳远望 谷群花 陈安平 |
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| 作者单位： | 1. 湘潭大学,数学与计算科学学院,湖南,湘潭,411005
2. 湘潭大学,数学与计算科学学院,湖南,湘潭,411005;湘南学院,数学系,湖南,郴州,423000 |
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| 基金项目： | 湖南省教育厅科研基金 |
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| 摘 要： | 本文在时标上研究了具有有界和分布时滞的Cohen-Grossberg神经网络,应用压缩映射原理、Lyapunov泛函方法和一些分析技巧,得到该模型平衡点的存在性和全局稳定性的充分条件.本文是首次应用时标理论将相同框架下的Cohen-Grossberg神经网络的连续系统和离散系统统一起来.
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| 关 键 词： | Cohen-Grossberg神经网络 指数稳定 时标 无界时滞 |
Global Exponential Stability for Cohen-Grossberg Neural Network with Bounded and Unbounded Delays on Time Scales |
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| YUE Yuan-wang,GU Qun-hua,CHEN An-ping. Global Exponential Stability for Cohen-Grossberg Neural Network with Bounded and Unbounded Delays on Time Scales[J]. Journal of Xiangnan University, 2009, 30(2) |
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| Authors: | YUE Yuan-wang GU Qun-hua CHEN An-ping |
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| Abstract: | In this paper,Cohen-Grossberg neural network with bounded and unbounded delays on time scales is considered.Some sufficient conditions are obtained to ensure the existence and the global exponential stability of the equilibrium using contraction mapping theorem,Liapunov functional method and some analytical techniques.This is the first time applying the time scale calculus theory to unify the discrete-time and continuous-time Cohen-Grossberg neural network under the same framework. |
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| Keywords: | Cohen-Grossberg neural network exponential stability time scales unbounded delays |
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