STABILITY RESULTS FOR NONLINEAR FRACTIONAL ORDER h-DIFFERENCE SYSTEMS

被引：9

作者：

Liu, Xiang ^{[1
]}

Jia, Baoguo ^{[1
]}

Erbe, Lynn ^{[2
]}

Peterson, Allan ^{[2
]}

机构：

[1] Sun Yat Sen Univ, Sch Math, Guangzhou 510275, Guangdong, Peoples R China

[2] Univ Nebraska, Dept Math, Lincoln, NE 68588 USA

来源：

DYNAMIC SYSTEMS AND APPLICATIONS | 2018年 / 27卷 / 03期

基金：

中国国家自然科学基金;

关键词：

fractional order h-difference systems; Lyapunov direct method; Mittag-Leffler stability; stability; MITTAG-LEFFLER STABILITY;

D O I：

10.12732/dsa.v27i3.10

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the stability of the fractional order h-difference systems. The definition of Mittag-Leffler stability is introduced, and the sufficient conditions are presented by extending the Lyapunov direct method to such systems. Moreover, we weaken the restriction on Lyapunov function, the stability of the fractional order h-difference systems is established. Two numerical examples are given to illustrate our main results.

引用

页码：609 / 628

页数：20