The convergence analysis of P-type iterative learning control with initial state error for some fractional system

In this paper, the convergence of iterative learning control with initial state error for some fractional equation is studied. According to the Laplace transform and the M-L function, the concept of mild solutions is showed. The sufficient conditions of convergence for the open and closed P-type ite...

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Detalles Bibliográficos
Autores principales: Liu, Xianghu, Li, Yanfang
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5285440/
https://www.ncbi.nlm.nih.gov/pubmed/28216984
http://dx.doi.org/10.1186/s13660-017-1302-6
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author Liu, Xianghu
Li, Yanfang
author_facet Liu, Xianghu
Li, Yanfang
author_sort Liu, Xianghu
collection PubMed
description In this paper, the convergence of iterative learning control with initial state error for some fractional equation is studied. According to the Laplace transform and the M-L function, the concept of mild solutions is showed. The sufficient conditions of convergence for the open and closed P-type iterative learning control are obtained. Some examples are given to illustrate our main results.
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spelling pubmed-52854402017-02-15 The convergence analysis of P-type iterative learning control with initial state error for some fractional system Liu, Xianghu Li, Yanfang J Inequal Appl Research In this paper, the convergence of iterative learning control with initial state error for some fractional equation is studied. According to the Laplace transform and the M-L function, the concept of mild solutions is showed. The sufficient conditions of convergence for the open and closed P-type iterative learning control are obtained. Some examples are given to illustrate our main results. Springer International Publishing 2017-01-31 2017 /pmc/articles/PMC5285440/ /pubmed/28216984 http://dx.doi.org/10.1186/s13660-017-1302-6 Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Liu, Xianghu
Li, Yanfang
The convergence analysis of P-type iterative learning control with initial state error for some fractional system
title The convergence analysis of P-type iterative learning control with initial state error for some fractional system
title_full The convergence analysis of P-type iterative learning control with initial state error for some fractional system
title_fullStr The convergence analysis of P-type iterative learning control with initial state error for some fractional system
title_full_unstemmed The convergence analysis of P-type iterative learning control with initial state error for some fractional system
title_short The convergence analysis of P-type iterative learning control with initial state error for some fractional system
title_sort convergence analysis of p-type iterative learning control with initial state error for some fractional system
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5285440/
https://www.ncbi.nlm.nih.gov/pubmed/28216984
http://dx.doi.org/10.1186/s13660-017-1302-6
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