一类分数阶Hopfield神经网络的鲁棒指数稳定性

Robust Exponential Stability of a Class of Fractional Order Hopfield Neural Networks

中文关键词:  分数阶神经网络  Gronwall 不等式  鲁棒指数稳定性

英文关键词:fractional order neural networks  Gronwall inequality  robust exponential stability

中文摘要:

      本文研究了一类具有Caputo导数的分数阶Hopfield神经网络的鲁棒指数稳定性, 得到了保证其鲁棒指数稳定性的一些充分条件. 最后利用数值仿真验证了结论的正确性和有效性.

英文摘要:

      In this paper, we investigate the robust exponential stability of a class of fractional order Hopfield neural network with Caputo derivative, and we get some sufficient conditions to guarantee its robust exponential stability. Finally, we use one numerical simulation example to illustrate the correctness and effectiveness of our results.