一类具比例时滞细胞神经网络概周期解的指数稳定性

Exponential stability of almost periodic solutions for a class of cellular neural networks with proportional delays

研究一类具比例时滞细胞神经网络概周期解的指数稳定性.在不要求输出函数满足全局Lipschitz条件的情况下,利用不动点定理与微分不等式技巧,得到了该神经网络概周期解的存在性、唯一性与指数稳定性的一个充分条件.给出2个数值算例验证所得结论的正确性.

The Exponential stability of almost periodic solutions for cellular neural networks with proportional delay is studied. Without assuming the global Lipschitz conditions of output functions, a sufficient condition for the existence, uniqueness and exponential stability of almost periodic solution of the system are obtained by using the fixed point theorem and differential inequality technique. Two numerical examples are given to demonstrate the correctness of the conclusion.