Iterative Learning Control for Linear Discrete Delayed Systems with Non-permutable Matrices

In this article, we established two convergence theorems for iterative learning control problem of linear discrete delayed systems with non-permutable matrices. By the representation of solution expressed involving discrete delayed exponential depending on sequence of matrices, we can obtain each output on every time interval via the state characterized explicitly, which helps us to compute the tracking error exactly. Numerical examples are also provided to verify the theoretical results.