摘要：In this paper, we study the convergence of iterative learning control for some fractional equation. Firstly, by using the Laplace transform and the M-L function, we show the concept of mild solutions. Secondly, by using the Gronwall inequality, we show the sufficient conditions of convergence for the open P-type and the close P-type iterative learning control. At last, we give some examples to illustrate our main results.
关键词：Caputo fractional derivative ; iterative learning control ; convergence ; Gronwall ineqality ; P-type ; Mittag-Leffler function
