一类分数阶Cohen-Grossberg神经网络的有限时间稳定性分析  

Finite-time stability analysis for a class of fractional-order Cohen-Grossberg neural networks

作　　者：杨占英[1] 李静文 杨玺 YANG Zhanying;LI Jingwen;YANG Xi(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4期626-630,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：研究了一类分数阶Cohen-Grossberg神经网络的稳定性问题,证明了系统平衡点存在且唯一的充分条件,接着对于阶数在(0,0.5)和(0.5,1),利用分数阶导数的性质、H lder不等式和推广的Gronwall不等式,给出了两个保证系统有限时间稳定的充分条件.最后通过数值仿真表明了主要结果的准确性和有效性.In this paper,we study the stability problem for a class of fractional-order Cohen-Grossberg neural networks,obtain a sufficient condition to ensure the existence and uniqueness of equilibrium point for the systems.Then for the order lying in the interval(0,0.5)and(0.5,1),we derive two sufficient conditions to ensure the finite-time stability of the system by using the properties of fractional-order derivative,the H lder inequality and the generalized Gronwall inequality.Finally,numerical simulation illustrates the correctness and effectiveness of main results.

关 键 词：分数阶 COHEN-GROSSBERG神经网络 有限时间稳定 GRONWALL不等式 

分 类 号：O193[理学—数学]