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

页码：571 / 590

页数：20