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The existence and stability of the anti-periodic solution for delayed Cohen-Grossberg neural networks with impulsive effects

机译:具脉冲效应的时滞Cohen-Grossberg神经网络反周期解的存在性和稳定性

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摘要

In this paper, we investigate the existence and global exponential stability of the anti-periodic solution for delayed Cohen-Grossberg neural networks with impulsive effects. First, based on the Lyapunov functional theory and by applying inequality technique, we give some new and useful sufficient conditions to ensure existence and exponential stability of the anti-periodic solutions. Then, we present an example with numerical simulations to illustrate our results.
机译:在本文中,我们研究了具有脉冲效应的时滞Cohen-Grossberg神经网络的反周期解的存在性和全局指数稳定性。首先,基于李雅普诺夫泛函理论,通过应用不等式技术,我们给出了一些新的有用的充分条件,以确保反周期解的存在性和指数稳定性。然后,我们提供一个带有数值模拟的例子来说明我们的结果。

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