一类具有逐段常变量神经网络系统概周期解存在性与指数稳定性

Existence and Exponential Stability of Almost Periodic Solution for Cellular Neural Networks with Piecewise Constant Argument

利用Halanay不等式,我们得到了一类具有逐段常变量神经网络系统解全局指数稳定的一个充分条件;此外,在同样条件下,通过不动点定理,证明了这类概周期系统概周期解的存在唯一性与模包含关系．

For the cellular neural networks with piecewise constant argument, a sufficient conditions is obtained for the networks to be global exponential stability by using Halanaytype inequalities. Moreover, the unique existence and the module containment of almost periodic solution for this kind of almost periodic system is proved under the same conditions by employing the fixed point theorem.