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
收藏
页码：299 / 308
页数：10
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