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

In this paper, we study P-type, PI-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 -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 (C) 2015 John Wiley & Sons, Ltd.