Stability analysis of fractional-order differential equations with multiple delays: The 1 < a < 2 case

被引：8
|
作者：
Yao, Zichen [1 ]
Yang, Zhanwen [1 ]
Fu, Yongqiang [1 ]
Liu, Simin [1 ]
机构：
[1] Harbin Inst Technol, Sch Math, Harbin 150001, Peoples R China
来源：
CHINESE JOURNAL OF PHYSICS | 2024年 / 89卷
关键词：
Fractional-order differential equations; Time delays; Caputo's fractional derivative; Laplace transform; Stability; SYSTEMS;
D O I：
10.1016/j.cjph.2023.03.014
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, the asymptotic stability of nonlinear fractional -order differential equations with multiple delays under the Caputo's fractional derivative with 1 < a < 2 is considered. Compared with the existing literature about fractional -order differential equations with 1 < a < 2, time delays are taken into consideration at the first time. By using the Laplace transform method and root locus technique, a necessary and sufficient condition is given in a coefficient -type criterion to ensure the asymptotic stability of fractional -order differential equations with multiple delays. The coefficient -type criterion is formulated by the coefficients and fractional exponent, which is easily verified in practical applications. Eventually, numerical examples are offered to show the effectiveness and feasibility of the main results.
引用
收藏
页码：951 / 963
页数：13
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