Finite-time stability of discrete fractional delay systems: Gronwall inequality and stability criterion

被引：76

作者：

Wu, Guo-Cheng ^{[1
,2
]}

Baleanu, Dumitru ^{[3
,4
]}

Zeng, Sheng-Da ^{[2
]}

机构：

[1] Southwest Univ, Coll Elect & Informat Engn, Chongqing 400715, Peoples R China

[2] Neijiang Normal Univ, Coll Math & Informat Sci, Data Recovery Key Lab Sichuan Prov, Neijiang 641100, Peoples R China

[3] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey

[4] Inst Space Sci, Bucharest, Romania

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2018年 / 57卷

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Fractional difference equations; Finite-time stability; Time scale; Discrete time control;

D O I：

10.1016/j.cnsns.2017.09.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This study investigates finite-time stability of Caputo delta fractional difference equations. A generalized Gronwall inequality is given on a finite time domain. A finite-time stability criterion is proposed for fractional differential equations. Then the idea is extended to the discrete fractional case. A linear fractional difference equation with constant delays is considered and finite-time stable conditions are provided. One example is numerically illustrated to support the theoretical result. (c) 2017 Elsevier B.V. All rights reserved.

引用

页码：299 / 308

页数：10

共 34 条

[31] STABILITY OF NONLINEAR H-DIFFERENCE SYSTEMS WITH N FRACTIONAL ORDERS
Wyrwas, Malgorzata
Pawluszewicz, Ewa
Girejko, Ewa
[J]. KYBERNETIKA, 2015, 51 (01) : 112 - 136
[32] A NEW FRACTIONAL DERIVATIVE WITHOUT SINGULAR KERNEL Application to the Modelling of the Steady Heat Flow
Yang, Xiao-Jun
Srivastava, Hari M.
Machado, J. A. Tenreiro
[J]. THERMAL SCIENCE, 2016, 20 (02): : 753 - 756
[33] Yang XJ, 2017, ROM REP PHY IN PRESS
[34] A generalized Gronwall inequality and its application to a fractional differential equation
Ye, Haiping
Gao, Jianming
Ding, Yongsheng
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 328 (02) : 1075 - 1081

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