Iterative　learning　control　(ILC)　is　an　effective　control　strategy　for　complex　systems　that　uses　trial　and　error　to　obtain　desired　output　trajectories.　This　paper　focuses　on　the　issue　of　event-triggered　ILC　for　switched　systems　with　asynchronous　switching.　An　event-triggered　ILC　method　is　designed　to　reduce　unnecessary　controller　updates　during　iterations.　The　main　technical　contribution　is　that　the　analysis　and　synthesis　are　performed　in　both　time　and　iteration　domains.　First,　in　order　to　solve　the　asynchronous　switching　problem　in　the　time　direction　and　the　update　problem　in　the　iteration　direction,　a　Lyapunov　function　involving　both　directions　is　adopted.　Second,　to　prove　the　convergence　of　tracking　error　and　the　system　stability　in　both　domains,　a　new　prove　method　is　proposed,　in　which　the　tracking　error　is　summed　over　the　entire　time　domain　and　the　average　dwell　condition　is　summed　over　the　entire　iteration　domain.　Finally,　the　feasibility　of　theoretical　result　is　verified　by　simulation.　©　2022　Elsevier　Inc.