Algebraic stability of impulsive fractional-order systems

被引：0
|
作者：
Wu, Ranchao [1 ]
Hei, Xindong [1 ]
机构：
[1] Anhui Univ, Sch Math, Hefei 230601, Peoples R China
来源：
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2014年 / 32期
基金：
高等学校博士学科点专项科研基金;
关键词：
fractional-order system; impulsive system; Lyapunov's direct method; Mittag-Leffler stability; STABILIZATION; EQUATIONS;
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, stability of impulsive fractional-order systems is investigated. By Lyapunov's direct method and comparison principle, results about asymptotic stability are given. To this end, comparison principles are first generalized to impulsive fractional order systems, through which a fractional inequality is derived for the linear impulsive system. Then sufficient conditions for the Mittag-Leffler stability, which is a special case of algebraic stability, of impulsive fractional-order systems are established. An example is given to show the effectiveness of the results.
引用
收藏
页码：1 / 13
页数：13
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