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

[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.

[学科分类] 数学（综合）

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