线性分数阶中立型系统的有限时间稳定(英文)  

Finite-time Stability of Linear Fractional Order Neutral Systems

作　　者：刘可为[1,2] 蒋威[1] 

机构地区：[1]安徽大学数学学院,安徽合肥230039 [2]合肥工业大学数学学院,安徽合肥230009

出　　处：《应用数学》2011年第4期724-730,共7页Mathematica Applicata

基　　金：the National Nature Science Foundation of China(11071001);the Doctoral Foundation of Ministry of Education of China(20093401110001);the Foundation of Hefei University of Technology(2009HGXJ0057)

摘　　要：本文研究了一类Caputo分数阶中立型系统.利用分步法,获得了该系统的初值问题的存在唯一性结果,再利用Gronwall不等式,证明了该系统的有限时间稳定性.This paper considers the Caputo fractional order neutral system.Using the method of steps,the existence and uniqueness theorems for the initial value problem of the Caputo fractional order neutral system are proved.Applying the Gronwall inequality,sufficient conditions for the finite time stability of the Caputo fractional order neutral system are obtained.

关 键 词：Caputo分数阶中立型系统 存在唯一 有限时间稳定 

分 类 号：O175.13[理学—数学]