具有不同时间尺度的变时滞竞争神经网络概周期解的存在性及指数稳定性

Existence and exponential stability of almost periodic solution for competitive neural networks with varying time-delays and different time scales

利用Banach空间中的不动点定理、指数二分法和不等式技巧,通过引入可调实参数,作者得到了一类具有不同时间尺度的变时滞竞争神经网络存在全局指数稳定的概周期解的充分条件,推广和改进了已有的相关结果.

Sufficient conditions for the existence and exponential stability of almost periodic solution for competitive neural networks with varying time-delays and different time scales are established in Banach space by using the fixed point theorem, exponential dichotomy and differential inequality technique. The results have extended and improved the related reports in the literatures.