摘要
利用不动点理论和时延不等式的方法研究了具有时滞的Cohen Grossberg神经网络模型dui(t)dt=ai(ui(t))bi(ui(t))-∑nj=1Tijfj(uj(t-τj)),i=1,2,…,n平衡点的稳定性问题.给出判定模型平衡点存在唯一性和全局指数稳定性的几个充分条件,这些条件取消了权矩阵(Tij)n×n对称性的假设,推广了已知文献的一些结果,使模型的应用范围更加广泛.
In this paper,the stability of equilibrum point of Cohen-Grossberg neural networks model with delay of the form \$\$du_i(t)dt=a_i(u_i(t))b_i(u_i(t))-∑nj=1T_(ij)f_j(u\-j(t-τ\-j)),i=1,2,…,n\$\$is investigated.With the theory of fixed point and delay differential inequality,some sufficient condtions for existence and uniqueness of equilibrum and global exponential stability of the delay Cohen-Grossberg neural networks are obtained.These condtions are established without assuming any symmetry of the connection matrix of (T_(ij))_(n×n),thus the existing results are generalized,and the delay Cohen-Grossberg neural networks can be more widely used.
出处
《徐州师范大学学报（自然科学版）》
CAS
2004年第1期10-14,共5页
Journal of Xuzhou Normal University(Natural Science Edition)
基金
徐州师范大学自然科学基金资助项目(03XLA01)
