ASYMPTOTIC STABILITY OF FRACTIONAL DIFFERENCE EQUATIONS WITH BOUNDED TIME DELAYS

被引：25
|
作者：
Wang, Mei [1 ]
Jia, Baoguo [1 ]
Du, Feifei [2 ]
Liu, Xiang [1 ,3 ]
机构：
[1] Sun Yat Sen Univ, Sch Math, Guangzhou 510275, Peoples R China
[2] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200240, Peoples R China
[3] Hebei Normal Univ, Sch Math Sci, Shijiazhuang 050024, Hebei, Peoples R China
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2020年 / 23卷 / 02期
基金：
中国博士后科学基金;
关键词：
fractional difference; asymptotical stability; fractional Halanay inequality; bounded time delays; SYSTEMS; CHAOS;
D O I：
10.1515/fca-2020-0028
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, an integral inequality and the fractional Halanay inequalities with bounded time delays in fractional difference are investigated. By these inequalities, the asymptotical stability conditions of Caputo and Riemann-Liouville fractional difference equation with bounded time delays are obtained. Several examples are presented to illustrate the results.
引用
收藏
页码：571 / 590
页数：20
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