一类分数阶神经网络的有限时间稳定（英文）

Finite-time stabilization of a class of fractional-order neural networks

研究一类阶数在1和2之间的分数阶神经网络的有限时间稳定问题.基于反馈控制,得到一个实现有限时间稳定的充分条件.该条件是一个易于验证的代数不等式.不同于早期的证明,本文的证明主要利用Cauchy-Schwartz不等式和Gronwall不等式.最后,数值例子表明了理论结果的有效性.

The stabilization problem of a class of fractional-order neural networks with the orders lying in the interval(1,2)is studied.Based on the feedback control,a sufficient condition is obtained to realize the finite-time stabilization of networks.This condition is an algebraic inequality that can be easily calculated in applications.Different from those in earlier works,our proof mainly depends on the Cauchy-Schwartz inequality and the Gronwall inequality.Finally,an example is presented to verify the effectiveness of theoretical result.