Abstract
In this article, we utilize a new notation, namely discrete matrix delayed exponential function, to deal with iterative learning control (ILC) problem for linear discrete systems with single delay, which is totally different from the approach in the previous literatures. With the help of a representation of a solution involving discrete matrix delayed exponential function, we can not only present the output clearly on each subinterval determined by the length of time delay, but also we need not to not turn ILC for linear discrete delayed systems to a Roesser model, which is always used to seek the criterion for convergence results. Numerical examples are also presented to verify the theoretical results.
Acknowledgements
The authors are grateful to the referees for their careful reading of the manuscript and valuable comments. We thank the help from the editor too.
Notes
No potential conflict of interest was reported by the authors.