Volume no :20, Issue no: 2, May (2019)

Journal of Pure and Applied Mathematics: Advances and Applications

THE CONVERGENCE ANALYSIS OF ITERATIVE LEARNING CONTROL FOR RIEMANN-LIOUVILLE FRACTIONAL SYSTEM

Author's: Xianghu Liu, Yanfang Li and Guangjun Xu
Pages: [87] - [101]
Received Date: May 5, 2019
Submitted by:
DOI: http://dx.doi.org/10.18642/jpamaa_7100122061

Abstract

The paper is concerned with the convergence of iterative learning control for some fractional equation. Using the Laplace transform and the M-L function, the mild solution is presented. The sufficient conditions of convergence for the open and closed iterative learning control are studied. Some examples are given to illustrate our theoretical results.

Keywords

Riemann-Liouville fractional derivative, iterative learning control, convergence, Mittag-Leffler function.