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

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.