Partial practical stability for fractional-order nonlinear systems

被引：23
作者：
Ben Makhlouf, Abdellatif [1 ]
机构：
[1] Jouf Univ, Coll Sci, Dept Math, POB 2014, Sakaka, Saudi Arabia
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2022年 / 45卷 / 09期
关键词：
fractional differential equations; Lyapunov function; stability; STABILIZATION; VARIABLES; RESPECT;
D O I：
10.1002/mma.8097
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, stability analysis which ensures the convergence of a part of the solutions towards a ball of a class of fractional-order nonlinear systems is described. Using the Lyapunov-like functions, such nonlinear systems depending on a small parameter is studied, and such practical stability is ensured. Numerical examples are given to illustrate the validity of the proposed theoretical results as well as a real application to a class of cobweb models.
引用
收藏
页码：5135 / 5148
页数：14
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