The　synchronization　of　stochastic　multi-weighted　coupled　systems　with　semi-Markov　jump　is　investigated　via　asynchronously　intermittent　sampled-data　decentralized　control　(AISDC).　It　is　worth　noting　that　semi-Markov　jump　is　considered　to　make　systems　deal　with　complex　changes　in　practice.　Moreover,　AISDC　is　first　designed　to　overcome　the　weaknesses　of　simple　intermittent　control　or　sampled-data　control,　which　can　avoid　potential　traffic　congestion　and　decrease　control　cost.　Based　on　this　novel　controller,　the　sufficient　conditions　of　synchronization　are　presented　by　combining　the　graph　theory　and　the　Lyapunov　method.　Moreover,　theoretical　results　are　applied　to　coupled　Chua＇s　circuits　with　multiple　weights　and　semi-Markov　jump　as　well　as　the　synchronization　criteria　are　presented.　Finally,　the　validity　of　the　obtained　results　is　verified　by　numerical　simulations.　©　2025　Elsevier　B.V.