一类分数阶Hopfield神经网络的Mittag-Leffler稳定性

摘要

In this paper,we investigate the Mittag-Leffler stability of a class of fractional order Hopfield neural network with Caputo derivative.By using the Mittag-Leffler function,we get some sufficient con-ditions to guarantee the existence and uniqueness of the equilibrium point and its Mittag-Leffler stability for the fractional order Hopfield neural networks.Finally,we use one numerical simulation example to il-lustrate the correctness and effectiveness of our results.%研究了Caputo导数形式下的一类分数阶 Hopfield神经网络的 Mittag-Leffler稳定性。利用 Mittag-Leffler函数的相关性质，得到该类系统平衡点的存在性与唯一性的充分条件，进而得到该类分数阶 Hopfield神经网络的 Mittag-Leffler稳定性的充分条件。最后，利用仿真实例验证了该结果的正确性与有效性。