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线性分数阶中立型系统的有限时间稳定

刘可为 蒋威

应用数学2011,Vol.24Issue(4):724-730,7.
应用数学2011,Vol.24Issue(4):724-730,7.

线性分数阶中立型系统的有限时间稳定

Finite-time Stability of Linear Fractional Order Neutral Systems

刘可为 1蒋威2

作者信息

  • 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
  • 折叠

摘要

Abstract

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

Key words

Caputo fractional order neutral system/Existence and uniqueness/Finite time stability

分类

数理科学

引用本文复制引用

刘可为,蒋威..线性分数阶中立型系统的有限时间稳定[J].应用数学,2011,24(4):724-730,7.

基金项目

Supported by the National Nature Science Foundation of China (11071001),the Doctoral Foundation of Ministry of Education of China(20093401110001) and the Foundation of Hefei University of Technology(2009HGXJ0057) (11071001)

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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