| 具有变时滞脉冲效应的Hopfield神经网络的全局指数稳定性 |
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| 引用本文： | 龙开奋. 具有变时滞脉冲效应的Hopfield神经网络的全局指数稳定性[J]. 数学的实践与认识, 2008, 38(16) |
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| 作者姓名： | 龙开奋 |
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| 作者单位： | 广西师范大学数学科学学院,桂林,541004 |
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| 基金项目： | 广西教育科学规划项目 |
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| 摘 要： | 研究了一类新的具有脉冲的时滞Hopfield神经网络系统模型,引入了新的脉冲条件,在不假设激励函数的可微性、单调性的条件下,得到了系统平衡点的存在性、唯一性及全局指数稳定性的充分条件和指数收敛速率,且所得结果改进了一些已知文献的结论.
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| 关 键 词： | Hopfield神经网络 脉冲 全局指数稳定性 变时滞 |
Global Exponential Stability of Impulsive Hopfield Neural Networks with Variable Delay |
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| LONG Kai-fen. Global Exponential Stability of Impulsive Hopfield Neural Networks with Variable Delay[J]. Mathematics in Practice and Theory, 2008, 38(16) |
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| Authors: | LONG Kai-fen |
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| Abstract: | A new model of Hopfield neural networks involving variable delays and impulses was investigated.Some new sufficient conditions for the existence and global exponential stability of a unique equilibrium of the impulsvie delayed model were obtained,without assuming monotonicity or differentiability of the activation functions and subjected to impulsvie state at fixed time.The result sextend and improve the earlier publications. |
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| Keywords: | Hopfield neural networks impulsvie exponential stability time-varying delays |
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