分布时滞的脉冲神经网络的稳定性分析  

Stability analysis of impulsive neural networks with time-varying and distributed delays

作　　者：雷瑞兴[1] 高兴宝[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《纺织高校基础科学学报》2011年第1期35-41,共7页Basic Sciences Journal of Textile Universities

基　　金：国家自然科学基金资助项目(6067106310902062)

摘　　要：讨论了具有无穷分布时滞的脉冲神经网络的全局指数稳定性.利用Lyapunov-Krasovskii泛函和线性矩阵不等式,得到了神经网络的全局指数稳定的充分条件.同时,推广了已有文献的结果,降低了系统的保守性.通过实例说明了所得结论的实用性.The global exponential stability of the equilibrium points are discussed for impulsive neural networks with time-varying and infinite distributed delays.By using Lyapunov-Krasovskii function and linear matrix inequality,the sufficient conditions for global exponential stability of neural networks are obtained.It is also shown that the results improve corresponding results in the previous literatures,and have less conservative.Finally,the example is given to illustrate the application of the results.

关 键 词：脉冲神经网络 无穷分布时滞 线性矩阵不等式 LYAPUNOV-KRASOVSKII函数 全局指数稳定 

分 类 号：O221.12[理学—运筹学与控制论]