title: The convergence analysis of P-type iterative learning control with initial state error for some fractional system.
abstract: 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.
authors.affiliation: Department of Mathematics, Guizhou University, Huaxi Road, Guiyang, China.|Mathematics Department, Zunyi Normal College, Wujiang Road, Zunyi, 563006 China.
authors.forename: Xianghu
authors.initials: X
authors.lastname: Liu
authors.affiliation: Mathematics Department, Zunyi Normal College, Wujiang Road, Zunyi, 563006 China.
authors.forename: Yanfang
authors.initials: Y
authors.lastname: Li
keywords: Caputo fractional derivative; Mittag-Leffler function; convergence; iterative learning control