摘要
通过利用Banach空间中的不动点定理和Lyapunov泛函的方法,获得了时滞细胞神经网络慨周期解的存在性与全局指数稳定性的新结论.所获结果在较大程度上改进和推广了已有文献中的相应结果.
In this paper cellular neural networks with delays are considered. Sufficient conditions for the existence and exponential stability of the almost periodic solutions are established by using a fixed-point theorem and Lyapunov functional method. The results of this paper are new and they complement previously known results.
出处
《数学物理学报(A辑)》
CSCD
北大核心
2007年第6期1082-1088,共7页
Acta Mathematica Scientia
基金
国家自然科学基金(10371034)资助
关键词
细胞神经网络
时滞
概周期解
指数稳定性.
Cellular neural networks
Delays
Almost periodic solution
Exponential stability.