一类含有阻尼项神经网络周期解存在和指数稳定性  

Existence and Exponential Stability of Periodic Solutions for a Class of Neural Networks With Damping Term

作　　者：柯云泉[1] 

机构地区：[1]绍兴文理学院数理学院,绍兴浙江312000

出　　处：《数学进展》2009年第6期745-754,共10页Advances in Mathematics（China）

基　　金：国家自然科学基金项目(No.10871226;No.10875078).

摘　　要：本文研究一类含有阻尼项神经网络,利用推广Halanay一维时滞微分不等式、Banach不动点理论等知识,讨论含有阻尼项神经网络的周期解存在和指数稳定性,并给出其判定的充分性条件.In this paper,using the extended Halanay one-dimensional differential inequality and Banach fixed point theory,we investigate the existence and exponential stability of periodic solution for a class of neural networks with damping term,and give some sufficient conditions to ensure the existence and exponential stability.

关 键 词：神经网络 阻尼项 微分不等式 不动点理论 周期解 指数稳定 

分 类 号：O175.12[理学—数学]