Finite-Time Stability of Fractional-Order Neural Networks with Delay  

作　　者：吴然超 黑鑫东 陈立平 

机构地区：[1]School of Mathematics,Anhui University [2]School of Automation,Chongqing University

出　　处：《Communications in Theoretical Physics》2013年第8期189-193,共5页理论物理通讯（英文版）

基　　金：Supported by the Specialized Research Fund for the Doctoral Program of Higher Education of China under Grant No.20093401120001;the Natural Science Foundation of Anhui Province under Grant No.11040606M12;the Natural Science Foundation of Anhui Education Bureau under Grant No.KJ2010A035;the 211 Project of Anhui University under Grant No.KJJQ1102

摘　　要：Finite-time stability of a class of fractional-order neural networks is investigated in this paper. By Laplace transform, the generalized Gronwa11 inequality and estimates of Mittag-Leffier functions, sufficient conditions are pre- sented to ensure the finite-time stability of such neural models with the Caputo fractionM derivatives. Furthermore, results about asymptotical stability of fractional-order neural models are also obtained.

关 键 词：neural networks FRACTIONAL-ORDER finite-time stability Gronwall inequality 

分 类 号：O175[理学—数学]