具混合时滞神经网络周期解的存在性和稳定性

Stability and Existence of almost Periodic Solution for Networks with Mixed Delays

避开拓扑度理论的方法,通过利用不等式技巧、矩阵理论和Banach空间的不动点理论,在去掉激活函数有界的条件下,获得周期解的存在性、唯一性和全局指数稳定性的充分条件.

Recurrent Cellular Networks with mixed delays were considered. Under the help of matrix theory and fixed point theorem in Banach space, some sufficient conditions ensuring existence, uniqueness as well as global exponential stability of periodic solution are established. Some existing results are improved and extended.