Global stability of impulsive hopfield neural networkswithmultiple delays

Yuanqiang Chen

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Global stability of impulsive hopfield neural networkswithmultiple delays

机译：具有多个时滞的脉冲Hopfield神经网络的全局稳定性

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In this paper, the global stability problem of discrete impulsive Hopfield neural networkswithmultiple delays is studied. Bymeans of the Lyapunov stability theory and discrete Halanay inequality technique, we develop sufficient conditions for the global asymptotical stability and global exponential stability for discrete impulsive Hopfield neural networks with multiple delays. Finally, a numerical example is presented to illustrate the efficiency of our results.

机译：本文研究了具有多个时滞的离散脉冲Hopfield神经网络的全局稳定性问题。利用Lyapunov稳定性理论和离散Halanay不等式技术，我们为具有多个时滞的离散脉冲Hopfield神经网络的全局渐近稳定性和全局指数稳定性提供了充分的条件。最后，给出了一个数值示例来说明我们的结果的有效性。

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《BioTechnology: An Indian Journal》 |2013年第9期|共10页
作者
Yuanqiang Chen;
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中图分类生物工程学（生物技术）;
关键词
Hopfield neural networksSystem with impulsivemultiple delaysGlobal asymptotical stabilityGlobal exponential stabilityHalanay inequality;

机译：具有脉冲多重时滞的Hopfield神经网络系统全局渐近稳定性全局指数稳定性Halanay不等式;

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专利

1. Global exponential stability and global attractivity of impulsive Hopfield neural networks with time delays [J] . Fu XL, Li XD Journal of Computational and Applied Mathematics . 2009,第1期

机译：时滞脉冲Hopfield神经网络的全局指数稳定性和全局吸引性
2. Global exponential stability of impulsive high-order Hopfield type neural networks with delays [J] . Bingji Xu, Xiang Liu, Kok Lay Teo Computers & mathematics with applications . 2009,第11a12期

机译：时滞脉冲高阶Hopfield型神经网络的全局指数稳定性
3. GLOBAL EXPONENTIAL STABILITY OF HOPFIELD NEURAL NETWORKS WITH VARIABLE DELAYS AND IMPULSIVE EFFECTS [J] . YANG Zhi-chun, XU Dao-yi 应用数学和力学（英文版） . 2006,第011期

机译：具有时滞和脉冲效应的Hopfield神经网络的全局指数稳定性。
4. Global Exponential Stability and Existence of Periodic Solution of Hopfield-type Neural Networks with Distributed Delays and Impulsive On Time Scales [C] . Chaolong Zhang, Qiru Wang, Fengjian Yang, World Congress on Intelligent Control and Automation;WCICA 2010 . 2010

机译：具有时滞和脉冲时滞的Hopfield型神经网络的全局指数稳定性和周期解的存在性
5. Stability and boundedness of impulsive systems with time delay. [D] . Wang, Qing. 2007

机译：具有时滞的脉冲系统的稳定性和有界性。
6. Global exponential stability of Markovian jumping stochastic impulsive uncertain BAM neural networks with leakage mixed time delays and α-inverse Hölder activation functions [O] . C. Maharajan, R. Raja, Jinde Cao, -1

机译：具有泄漏混合时滞和α-逆Hölder激活函数的Markovian跳跃随机脉冲不确定BAM神经网络的全局指数稳定性
7. Global exponential stability and global attractivity of impulsive Hopfield neural networks with time delays [O] . Fu Xilin, Li Xiaodi 2009

机译：时滞脉冲Hopfield神经网络的全局指数稳定性和全局吸引性

Global stability of impulsive hopfield neural networkswithmultiple delays

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