Boundedness And Stability Of Nonautonomous Cellular Neural Networks With Reaction-diffusion Terms

Hongyong Zhao; Zisen Mao

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Boundedness And Stability Of Nonautonomous Cellular Neural Networks With Reaction-diffusion Terms

机译：具有反应扩散项的非自治细胞神经网络的有界性和稳定性

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In this paper, we study a class of nonautonomous cellular neural networks with reaction-diffusion terms. By employing the method of variation parameter, applying inequality technique and introducing a lot of real parameters, we present some sufficient conditions ensuring the boundedness and globally exponential stability of the solutions for nonautonomous cellular neural networks with reaction-diffusion terms. The results obtained extend and improve the earlier publications. Finally, three examples with their numerical simulations are provided to show the correctness of our analysis.

机译：在本文中，我们研究了一类具有反应扩散项的非自治细胞神经网络。通过采用变参数方法，应用不等式技术并引入大量实参，我们提出了一些条件，确保了具有反应扩散项的非自治细胞神经网络解的有界性和全局指数稳定性。获得的结果扩展并改进了早期的出版物。最后，提供了三个实例及其数值模拟，以证明我们分析的正确性。

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《Mathematics and computers in simulation》 |2009年第5期|1603-1617|共15页
作者
Hongyong Zhao; Zisen Mao;
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正文语种 eng
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关键词
cellular neural networks; reaction-diffusion terms; equilibrium point; boundedness; globally exponential stability;

机译：细胞神经网络;反应扩散项;平衡点;有界性;全局指数稳定性;

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专利

1. Boundedness and exponential stability for nonautonomous cellular neural networks with reaction–diffusion terms [J] . Xuyang Lou, Baotong Cui Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2007,第2期

机译：具有反应扩散项的非自治细胞神经网络的有界性和指数稳定性
2. Boundedness and stability for nonautonomous cellular neural networks with delay. [J] . Rehim M, Jiang H, Teng Z Neural Networks: The Official Journal of the International Neural Network Society . 2004,第7期

机译：具有延迟的非自治细胞神经网络的有界性和稳定性。
3. Boundedness and stability for nonautonomous cellular neural networks with delay [J] . Jiang HJ., Li ZM., Teng ZD. Physics Letters, A . 2003,第5a6期

机译：具有时滞的非自治细胞神经网络的有界性和稳定性
4. New Conditions for Global Dynamics of Nonautonomous Cellular Neural Networks with Reaction-Diffusion Terms [C] . Mao Zisen, Cui Zhoujin, Xu Dandan, 2010 International Conference on Multimedia Technology . 2010

机译：具有反应扩散项的非自治细胞神经网络全局动力学的新条件
5. A study of neural networks and multiple neural networks in making short-term and long-term time-series prediction of petroleum production and gas consumption. [D] . Nguyen, Hanh Hong. 2003

机译：对神经网络和多重神经网络进行石油产量和天然气消耗的短期和长期时间序列预测的研究。
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

机译：具有分布时滞和脉冲的中立型Cohen-Grossberg分流抑制性细胞神经网络的概周期解的全局指数稳定性
7. Global exponential stability of nonautonomous neural networks with time-varying delays and reaction-diffusion terms [O] . Li Jinxian, Zhang Fengqin, Yan Jurang 2009

机译：具有时变时滞和反应扩散项的非自治神经网络的全局指数稳定性

Boundedness And Stability Of Nonautonomous Cellular Neural Networks With Reaction-diffusion Terms

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