一类具有连续分布时滞模型的稳定性

Stability of a Class of Continously Distributed Delays Model

本文利用一些分析技巧和Lyapunov泛函方法，研究一类具有连续分布时滞模型x'_i(t)=-b_ix_i(t)+sumfromj=1to∞()ω_ijf_j(integralfromn=0to∞()k_j(s)x_j(t-s)ds)+p_i,i=1,2,……,n平衡点的全局渐近稳定性，并获得了一个新的充分条件．

In this paper,by using of some technics and Lyapunov functional method, global asymptotic stability of equilibrium of the continuously distributed delays model x'_i(t)=-b_ix_i(t)+sum from j=1 to ∞( )ω_ijf_j(integral from n=0 to ∞( )k_j(s)x_j(t-s)ds)+p_i,i=1,2,……,nis studied. A new sufficient condition is derived.