On the Asymptotic Stability of a Nonlinear Fractional-order System with Multiple Variable Delays

被引：0
作者：
Altun, Yener [1 ]
Tunc, Cemil [2 ]
机构：
[1] Van Yuzuncu Yil Univ, Ercis Management Fac, Dept Business Adm, TR-65080 Van, Turkey
[2] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkey
来源：
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL | 2020年 / 15卷 / 01期
关键词：
Asymptotic stability; Lyapunov functional; fractional-order; variable delay; DIFFERENTIAL-EQUATIONS; NONOSCILLATORY SOLUTIONS; BOUNDEDNESS; EXISTENCE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a nonlinear differential system of fractional-order with multiple variable delays. We investigate asymptotic stability of zero solution of the considered system. We prove a new result, which includes sufficient conditions, on the subject by means of a suitable Lyapunov functional. An example with numerical simulation of its solutions is given to illustrate that the proposed method is flexible and efficient in terms of computation and to demonstrate the feasibility of established conditions by MATLAB-Simulink.
引用
收藏
页码：458 / 468
页数：11
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