分数阶时滞神经网络的一致稳定性

Uniform Stability Results for Fractional-order Delayed Neural Networks

研究一类带有时滞的Caputo型分数阶神经网络的解的动力学行为.基于等价范数定理、不等式技巧以及压缩映像定理,经过计算证明得到了分数阶神经网络的解存在唯一性和一致稳定性的结论;通过一个分数阶时滞神经网络模型实例验证了所得结论的有效性.

This article investigated fractional-order delayed neural networks with Caputo derivative.By means of equivalent norm technique,inequality techniques and contraction mapping theorem,the new results to assure the existence,uniqueness and uniform stability of delayed fractional-order neural networks were obtained.Finally,the efficiency of the derived criteria was illustrated by one example.