Stability analysis of Caputo fractional time-dependent systems with delay using vector lyapunov functions

被引：2
|
作者：
Achuobi, Jonas Ogar [1 ,2 ]
Akpan, Edet Peter [1 ]
George, Reny [3 ]
Ofem, Austine Efut [4 ]
机构：
[1] Akwa Ibom State Univ, Dept Math, Ikot Akpaden, Akwa Ibom State, Nigeria
[2] Univ Calabar, Dept Math, Calabar, Nigeria
[3] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Al Kharj, Dept Math, Al Kharj 11942, Saudi Arabia
[4] Univ Kwazulu Natal, Sch Math Stat & Comp Sci, Durban, South Africa
来源：
AIMS MATHEMATICS | 2024年 / 9卷 / 10期
关键词：
stability; asymptotic stability; Caputo derivative; vector Lyapunov function; fractional delay differential equation; DIFFERENTIAL-EQUATIONS; THEOREM;
D O I：
10.3934/math.20241362
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this study, we investigate the stability and asymptotic stability properties of Caputo fractional time-dependent systems with delay by employing vector Lyapunov functions. Utilizing the Caputo fractional Dini derivative on Lyapunov-like functions, along with a new comparison theorem and differential inequalities, we derive and prove sufficient conditions for the stability and asymptotic stability of these complex systems. An example is included to showcase the method's practicality and to specifically illustrate its advantages over scalar Lyapunov functions. Our results improves, extends, and generalizes several existing findings in the literature.
引用
收藏
页码：28079 / 28099
页数：21
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