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

作　　者：杨占英[1] 李静文 谌永荣[1] YANG Zhanying;LI Jingwen;CHEN Yongrong(College of Mathematics and Statistics,South-Central University for Nationalities,Wuhan 430074,China)

机构地区：[1]中南民族大学数学与统计学学院

出　　处：《中南民族大学学报（自然科学版）》2019年第2期309-313,共5页Journal of South-Central University for Nationalities：Natural Science Edition

基　　金：国家自然科学基金资助项目(11401595)

摘　　要：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.

关 键 词：分数阶神经网络 有限时间 GRONWALL不等式 

分 类 号：O193[理学—数学]