ON EXPLICIT STABILITY CONDITIONS FOR A LINEAR FRACTIONAL DIFFERENCE SYSTEM

被引：183

作者：

Cermak, Jan ^{[1
]}

Gyori, Istvan ^{[2
]}

Nechvatal, Ludek ^{[1
]}

机构：

[1] Brno Univ Technol, Inst Math, Tech 2, CZ-61669 Brno, Czech Republic

[2] Univ Veszprem, Dept Math, H-8201 Veszprem, Hungary

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2015年 / 18卷 / 03期

关键词：

fractional-order difference system; Caputo difference operator; Riemann-Liouville difference operator; asymptotic stability; EQUATIONS; CALCULUS; ORDER;

D O I：

10.1515/fca-2015-0040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper describes the stability area for the difference system (Delta alpha y)(n + 1 - alpha) = Ay(n), n= 0, 1, ... , with the Caputo forward difference operator Delta alpha of a real order alpha epsilon (0, 1) and a real constant matrix A. Contrary to the existing result on this topic, our stability conditions are fully explicit and involve the decay rate of the solutions. Some comparisons with a difference system of the Riemann-Liouville type are discussed as well, including related consequences and illustrating examples.

引用

页码：651 / 672

页数：22

共 24 条

[1] On Riemann and Caputo fractional differences [J].