The convergence of iterative learning control for some fractional system

The convergence of iterative learning control for some fractional system

Abstract In this paper, we study the convergence of iterative learning control for some fractional equation. Firstly, by using the Laplace transform and the M-L function, we show the concept of mild solutions. Secondly, by using the Gronwall inequality, we show the sufficient conditions of convergen...

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Bibliographic Details
Main Authors: Xianghu Liu, Yanfang Li, Yanmin Liu
Format: Article
Language:English
Published: SpringerOpen 2017-05-01
Series:Advances in Difference Equations
Subjects:
Caputo fractional derivative
iterative learning control
convergence
Gronwall ineqality
P-type
Mittag-Leffler function
Online Access:http://link.springer.com/article/10.1186/s13662-017-1177-3
Description
Summary:Abstract In this paper, we study the convergence of iterative learning control for some fractional equation. Firstly, by using the Laplace transform and the M-L function, we show the concept of mild solutions. Secondly, by using the Gronwall inequality, we show the sufficient conditions of convergence for the open P-type and the close P-type iterative learning control. At last, we give some examples to illustrate our main results.
ISSN:1687-1847

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