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一类时滞细胞神经网络稳定性判断标准
引用本文:管俊彪,沈绍伟. 一类时滞细胞神经网络稳定性判断标准[J]. 宝鸡文理学院学报(自然科学版), 2006, 26(2): 85-91
作者姓名:管俊彪  沈绍伟
作者单位:浙江师范大学,数理学院,浙江,金华,321004;浙江师范大学,数理学院,浙江,金华,321004
摘    要:目的研究一类细胞神经网络。方法通过构造合适的Lyapunov函数和利用基本不等式技巧na1a2…an≤an1 an2 … ann进行研究。结果获得了时滞细胞神经网络(DCNNs)全局渐进稳定的判断标准。结论改进和一般化了相关结果。

关 键 词:细胞神经网络  时滞  全局渐进稳定  Lyapunov函数
文章编号:1007-1261(2006)02-0085-07
收稿时间:2005-04-20
修稿时间:2006-10-15

Stability criteria for delayed cellular neural networks
GUAN Jun-biao,SHEN Shao-wei. Stability criteria for delayed cellular neural networks[J]. Journal of Baoji College of Arts and Science(Natural Science Edition), 2006, 26(2): 85-91
Authors:GUAN Jun-biao  SHEN Shao-wei
Abstract:Aim To study a class of delayed cellular neural networks.Methods Suitable Lyapunov functionals were constructed and elementary inequality technique na1a2...an ≤an1+an2+...+ann, was applied. Results A set of criteria on the global asymptotic stability of delayed cellular neural networks (DCNNs) were obtained.Conclusion Some of the related results were generalized and improved.
Keywords:cellular neural networks  delay  global asymptotic stability  Lyapunov functional
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