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脉冲多比例时滞细胞神经网络全局指数稳定性准则(英文) 被引量:2

A Criterion for Global Exponential Stabilityof CNNs with Impulses and Multi-proportional Delays
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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l^c-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. 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 l^c -norm of n - dimensional real vector space R^n. Finally, an example with its simulation is presented to illustrate that our method is effective.
机构地区 长安大学理学院
出处 《安徽师范大学学报(自然科学版)》 CAS 2017年第4期330-335,共6页 Journal of Anhui Normal University(Natural Science)
基金 The Youth Science and Technology Nova Program of Shanxi Province(2014KJXX-55) The Special Fund for Basic Scientific Research of Central Colleges in Chang'an University(310812163504)
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 l^c-范数 global exponential stability cellular neural networks multi- proportional delays Lyapunov function Young inequality Lc -norm
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