Existence and Stability of Almost Periodic Solution for a Stochastic Cellular Neural Network with External Perturbation

HuiZhou; ZongfuZhou; WeiJiang

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Existence and Stability of Almost Periodic Solution for a Stochastic Cellular Neural Network with External Perturbation

机译：具有外部扰动的随机细胞神经网络概周期解的存在性和稳定性。

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摘要

A class of stochastic cellular neural networks with external perturbation is investigated. By employing fixed points principle and some stochastic analysis techniques, we establish some sufficient conditions for existence and exponential stability of a quadratic mean almost periodic solution of the model. The new criteria not only improve some classical results but also are applied in real problems due to the changes of external input.

机译：研究了一类具有外部扰动的随机细胞神经网络。通过采用定点原理和一些随机分析技术，我们为模型的二次均值几乎周期解的存在和指数稳定性建立了一些充分的条件。新标准不仅改善了一些经典的结果，而且由于外部输入的变化而被应用于实际问题中。

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《Abstract and applied analysis》 |2014年第6期|共10页
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HuiZhou; ZongfuZhou; WeiJiang;
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1. Existence and Stability of Almost Periodic Solution for a Stochastic Cellular Neural Network with External Perturbation [J] . HuiZhou, ZongfuZhou, WeiJiang Abstract and applied analysis . 2014,第3期

机译：具有外部扰动的随机细胞神经网络概周期解的存在性和稳定性。
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5. Existence and stability of standing pulses in neural networks [D] . Guo, Yixin 2003

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6. Global Exponential Stability of Almost Periodic Solution for Neutral-Type Cohen-Grossberg Shunting Inhibitory Cellular Neural Networks with Distributed Delays and Impulses [O] . Lijun Xu, Qi Jiang, Guodong Gu 2016

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7. Stability and Existence of Periodic Solutions of Periodic Cellular Neural Networks with Time-Vary Delays [O] . Gui Z., Yang X.-S. 2006

机译：具有时变时滞的周期细胞神经网络周期解的稳定性和存在性

Existence and Stability of Almost Periodic Solution for a Stochastic Cellular Neural Network with External Perturbation

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