On the iterative learning control of fractional impulsive evolution equations in Banach spaces

In this paper, we study P ‐type, P I α ‐type, and D ‐type iterative learning control for fractional impulsive evolution equations in Banach spaces. We present triple convergence results for open‐loop iterative learning schemes in the sense of λ ‐norm through rigorous analysis. The proposed iterative learning control schemes are effective to fractional hybrid infinite‐dimensional distributed parameter systems. Finally, an example is given to illustrate our theoretical results. Copyright © 2015 John Wiley & Sons, Ltd.