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

Journal of inequalities and applications

Xianghu Liu¹ 

关键词: Caputo fractional derivative;    iterative learning control;    convergence;    Mittag-Leffler function;    93C10;    93C40;   

DOI  :  10.1186/s13660-017-1302-6

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY