摘要
讨论时滞的细胞神经网络(DCNNs)的全局渐近稳定性,利用Lyapunov泛涵方法和平均值不等式,a1a2…ak≤1k(a1k+a2k+…+akk)(a1>0,i=1,2,3,…,k),构造了一类新的Lyapunov泛涵,再次对DCNNS的稳定性进行了研究.得到了DCNNs全局渐近稳定时的一些充分条件,给出了保证时滞细胞神经网络全局渐近稳定的模型设计方法.
The global asymptotic stability of delayed cellular neural networks（ DCNNs ） is discussed, By using ofthe Lyapunov functional method and mean equality a1a2…ak≤1/k（a1^k＋a2^k＋…＋ak^k）（a1〉0,i=1,2,3…,k）,aclass of new Lyapunov functions is proposed. The global asymptotic stability of DCNNs is analyzed again and some sufficient conditions are obtained for the global asymptotic stability of DCNNs, a method to design a model of the delayed cellular neural networks with global asymptotic stability is obtained.
出处
《云南民族大学学报（自然科学版）》
CAS
2013年第1期39-43,共5页
Journal of Yunnan Minzu University:Natural Sciences Edition
