摘要
利用Lyapunov泛函研究一类时滞反应扩散Cohen Grossberg神经网络平衡点的全局指数稳定性,给出了一些代数判据.
In this paper,the stability of equilibrum point of Cohen-Grossberg neural networks model with reaction-diffusion terms of the form u_i(x,t)t=∑nk=1x_kD_(ik)u_ix_k-a_i(u_i(t))b_i(u_i(t))-∑nj=1T_(ij)f_j(u_j(t-τ_j(t),x) is investigated.By means of a new type of Lyapunov functionals,some sufficient conditions for global exponential stability of equilibrum are obtained.
出处
《徐州师范大学学报(自然科学版)》
CAS
2004年第2期14-18,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)