CAJ | 학술논문

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。
연구료Caputo도수형식하적일류분수계 Hopfield신경망락적 Mittag-Leffler은정성。이용 Mittag-Leffler함수적상관성질，득도해류계통평형점적존재성여유일성적충분조건，진이득도해류분수계 Hopfield신경망락적 Mittag-Leffler은정성적충분조건。최후，이용방진실례험증료해결과적정학성여유효성。
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.