Asymptotic properties of fractional delay differential equations

被引：42

作者：

Krol, Katja ^{[1
]}

机构：

[1] Humboldt Univ, Inst Math, D-10099 Berlin, Germany

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 218卷 / 05期

关键词：

Fractional differential equations; Delay differential equations; Linear equations; Asymptotic stability; Laplace transform; Polynomial decay; Exact convergence rate; STABILITY ANALYSIS; SYSTEMS;

D O I：

10.1016/j.amc.2011.04.059

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the asymptotic properties of d-dimensional linear fractional differential equations with time delay. We present necessary and sufficient conditions for asymptotic stability of equations of this type using the inverse Laplace transform method and prove polynomial decay of stable solutions. Two examples illustrate the obtained analytical results. (C) 2011 Published by Elsevier Inc.

引用

页码：1515 / 1532

页数：18

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