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Journal of Applied Mathematics and Computing
Published in: Journal of Applied Mathematics and Computing 1-2/2017

05-11-2015 | Original Research

Analysis of iterative learning control for a class of fractional differential equations

Authors: Shengda Liu, JinRong Wang, Wei Wei

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2017

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Abstract

In this paper, we discuss PD-type learning control law for linear differential equations of fractional order \(\alpha \in (1,2)\). We derive convergence results for open-loop and closed-loop iterative learning schemes with zero initial error and random but bounded initial error in the sense of \(\lambda \)-norm by utilizing properties of Mittag–Leffler functions. Numerical examples are presented to demonstrate the validity of the design methods.
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Metadata
Title
Analysis of iterative learning control for a class of fractional differential equations
Authors
Shengda Liu
JinRong Wang
Wei Wei
Publication date
05-11-2015
Publisher
Springer Berlin Heidelberg
Published in
Journal of Applied Mathematics and Computing / Issue 1-2/2017
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-015-0955-x

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