一类时滞细胞神经网络稳定性判断标准(英文)  

Stability criteria for delayed cellular neural networks

作　　者：管俊彪[1] 沈绍伟[1] 

机构地区：[1]浙江师范大学数理学院,浙江金华321004

出　　处：《宝鸡文理学院学报（自然科学版）》2006年第2期85-91,共7页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

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。Aim To study a class of delayed cellular neural networks. Methods Suitable Lyapunov functionals were constructed and elementary inequality technique na1 a2 … an≤a1^n ＋ a2^n ＋ ... ＋ an^n, 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.

关 键 词：细胞神经网络 时滞 全局渐进稳定 LYAPUNOV函数 

分 类 号：O175.13[理学—数学]