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| 反应扩散变时滞细胞神经网络的稳定性 | |
| 引用本文： | 李奎,吴清太. 反应扩散变时滞细胞神经网络的稳定性[J]. 河南科学, 2008, 26(7): 761-764 |
| 作者姓名： | 李奎 吴清太 |
| 作者单位： | 南京农业大学,理学院,南京,210095;南京农业大学,理学院,南京,210095 |
| 摘 要： | 利用构造Lyapunov函数的方法讨论了带反应扩散项的变时滞细胞神经网络全局指数稳定性.在输出响应函数有界且满足Lipschitz条件和系统满足文章所给的条件下,得到了判定该类网络解的全局指数稳定性. |
| 关 键 词： | 反应扩散 变时滞 细胞神经网络 全局指数稳定性 |
Stability of Reaction-Diffusion Cellular Neural Networks with Time-Varying Delays |
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| Li Kui,Wu Qingtai. Stability of Reaction-Diffusion Cellular Neural Networks with Time-Varying Delays[J]. Henan Science, 2008, 26(7): 761-764 | |
| Authors: | Li Kui Wu Qingtai |
| Affiliation: | Li Kui,Wu Qingtai(College of Science,Nanjing Agricultural University,Nanjing 210095,China) |
| Abstract: | In this paper,global exponential stability is investigated for cellular neural networks with reaction-diffusion and time-varying delays by the use of Lyapunov-function.Assume that each output function is bounded on R and satisfies the Lipschitz condition and some conditions given by this paper,then the new result is obtained for the global exponential stability of the system. |
| Keywords: | reaction-diffusion time-varying delays cellular neural networks global exponential stability |
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