Solution to delayed linear discrete system with constant coefficients and second‐order differences and application to iterative learning control

Abstract

SummaryIn this article, we give an alternative representation and prior estimation of solution to delayed linear discrete systems with a second‐order difference with the help of the notation of delayed discrete matrix functions via their norm estimations. As an application, this solution is used to study iterative learning control under the suitable updating laws and sufficient conditions to guarantee that asymptotic convergence tracking results are presented. Finally, two numerical examples are given to verify the theoretical results.