基于现有文献大多研究线性脉冲动力系统,对具非线性脉冲影响的研究较少的情况,主要利用拓扑度理论,M-矩阵理论,Liapunov泛函方法,研究了具有界时滞和分布时滞的一类细胞神经网络动力系统的非线性脉冲影响,获得了其平衡点全局指数稳定性的充分条件.
Most research have been based on the linear impulsive dynamic systems in the previous literature. The case of nonlinear impulsive dynamic systems has rarely been inves- tigated. This paper researches the nonlinear impulsive effect on a class of impulsive cellular neural networks dynamic systems with bounded delays and distributed delays . Some suf- ficient conditions are obtained to ensure the global exponential stability of equilibrium, by using topological degree theory, M-matrix theory and the Liapunov functional methods.