| 脉冲多比例时滞细胞神经网络全局指数稳定性准则 |
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| 引用本文： | 王小伟,胡霁芳,肖玉柱,宋学力.脉冲多比例时滞细胞神经网络全局指数稳定性准则[J].安徽师范大学学报(自然科学版),2017,40(4). |
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| 作者姓名： | 王小伟 胡霁芳 肖玉柱 宋学力 |
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| 作者单位： | 长安大学理学院,陕西西安,710064;长安大学理学院,陕西西安,710064;长安大学理学院,陕西西安,710064;长安大学理学院,陕西西安,710064 |
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| 基金项目： | The Youth Science and Technology Nova Program of Shanxi Province;The Special Fund for Basic Scientific Research of Central Colleges in Chang'an University |
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| 摘 要： | 本文主要研究脉冲多比例时滞细胞神经网络的全局指数稳定性.通过Lyapunov函数以及Young不等式,并基于n维实向量空间中的lc-范数,我们得到细胞神经网络全局指数稳定的充分条件,最后我们用一个例子以及它的仿真来证明我们方法的有效性.
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| 关 键 词： | 全局指数稳定 细胞神经网络 多比例时滞 Lyapunov函数 Young不等式 lc-范数 |
A Criterion for Global Exponential Stability of CNNs with Impulses and Multi-proportional Delays |
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| WANG Xiao-wei,HU Ji-fang,XIAO Yu-zhu,SONG Xue-li.A Criterion for Global Exponential Stability of CNNs with Impulses and Multi-proportional Delays[J].Journal of Anhui Normal University(Natural Science Edition),2017,40(4). |
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| Authors: | WANG Xiao-wei HU Ji-fang XIAO Yu-zhu SONG Xue-li |
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| Abstract: | This paper investigates global exponential stability of impulsive and multi-proportional delayed cellular neural networks.By means of Lyapunov function and Young inequality,we provide a sufficient condition to the global exponential stability of CNNs,which is based on lc-norm of n-dimensional real vector space Rn.Finally,an example with its simulation is presented to illustrate that our method is effective. |
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| Keywords: | global exponential stability cellular neural networks multi-proportional delays Lyapunov function Young inequality lc-norm |
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