Representation of a solution for a fractional linear system with pure delay

被引：44
作者：
Liang, Chengbin [1 ]
Wang, JinRong [1 ]
O' Regan, D. [2 ]
机构：
[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China
[2] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland
来源：
APPLIED MATHEMATICS LETTERS | 2018年 / 77卷
基金：
中国国家自然科学基金;
关键词：
Fractional linear system with pure delay; Fractional delayed matrices cosine and sine; Representation of solution; Finite time stability; FINITE-TIME STABILITY; DIFFERENTIAL-EQUATIONS; CONSTANT-COEFFICIENTS; DISCRETE-SYSTEMS; MATRICES;
D O I：
10.1016/j.aml.2017.09.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper gives a representation of a solution to the Cauchy problem for a fractional linear system with pure delay. We introduce the fractional delayed matrices cosine and sine of a polynomial of degree and establish some properties. Then, we use the variation of constants method to obtain the solution and our results extend those for second order linear system with pure delay. As an application, the representation of a solution is used to obtain a finite time stability result. (C) 2017 Elsevier Ltd. All rights reserved.
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收藏
页码：72 / 78
页数：7
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