This　paper　investigates　the　bipartite　synchronization　of　stochastic　coupled　systems　with　hybrid　time-varying　delays　and　Markov　jump　via　asynchronous　impulsive　control.　Unlike　existing　studies,　the　asynchronous　impulses　considered　in　this　paper　are　decentralized,　which　allows　for　the　investigation　of　a　wider　range　of　dynamic　properties.　Additionally,　to　address　asynchronous　impulsive　control,　asynchronous　average　dwell-time　condition　is　introduced　for　the　first　time,　and　new　auxiliary　functions　are　defined.　Several　sufficient　criteria　for　attaining　bipartite　synchronization　are　derived　through　the　application　of　the　Lyapunov　method　and　graph　theory.　In　addition,　the　theoretical　findings　are　applied　to　single-link　robot　arms　with　hybrid　time-varying　delays.　To　demonstrate　the　practicality　of　the　findings,　this　paper　includes　two　numerical　examples.