On the iterative learning control of fractional impulsive evolution equations in Banach spaces

被引：22
|
作者：
Yu, Xiulan [1 ]
Debbouche, Amar [2 ]
Wang, JinRong [3 ]
机构：
[1] Shanxi Univ Finance & Econ, Coll Appl Math, Taiyuan 030031, Shanxi, Peoples R China
[2] Guelma Univ, Dept Math, Guelma 24000, Algeria
[3] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 17期
关键词：
iterative learning control; fractional impulsive evolution equations; lambda-norm; Banach spaces; DISTRIBUTED-PARAMETER SYSTEMS; SCALE INDUSTRIAL-PROCESSES; DIFFERENTIAL-EQUATIONS; TRACKING; ROBOT;
D O I：
10.1002/mma.3726
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study P-type, PI-type, and D-type iterative learning control for fractional impulsive evolution equations in Banach spaces. We present triple convergence results for open-loop iterative learning schemes in the sense of -norm through rigorous analysis. The proposed iterative learning control schemes are effective to fractional hybrid infinite-dimensional distributed parameter systems. Finally, an example is given to illustrate our theoretical results. Copyright (C) 2015 John Wiley & Sons, Ltd.
引用
收藏
页码：6061 / 6069
页数：9
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