具有界时滞和分布时滞的脉冲细胞神经网络动力系统的全局指数稳定性  

Global Exponential Stability of Impulsive Cellular Neural Networks Dynamic Systems with Bounded Delays and Distributed Delays

作　　者：朱红英[1] 林远华[1] 冯春华[2] 

机构地区：[1]河池学院数学系,广西宜州546300 [2]广西师范大学数学科学学院,广西桂林541004

出　　处：《数学的实践与认识》2013年第23期121-130,共10页Mathematics in Practice and Theory

基　　金：国家自然科学基金(10961005);广西教育厅科研立项项目(201106LX613);河池学院院级青年科研课题(2011A-N012)

摘　　要：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.

关 键 词：非线性脉冲 LIAPUNOV泛函 

分 类 号：O19[理学—数学]