The paper is concerned with the robustness analysis of a type of iterative algorithm for R-L fractional nonlinear control systems in the sense of L-p norm. Firstly, according to the Laplace transform and M-L function, the concept of mild solutions of the system is derived. Secondly, we give the sufficient conditions of robustness analysis of the PD alpha-type ILC algorithm with uncertain disturbances and then study the robust analysis of the second-order PD alpha-type ILC algorithm. At last, two fractional examples are given to demonstrate the results.
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