A　model　of　memristor-based　quaternion-valued　fuzzy　neural　networks　(MQVFNNs)　with　delayed　impulses　and　time-varying　delays　is　established,　and　the　synchronization　issue　is　investigated　in　this　paper.　Firstly,　to　avoid　non-commutativity,　the　MQVFNNs　are　decomposed　into　real-valued　delayed　impulsive　neural　networks.　Secondly,　a　novel　lemma　for　delayed　impulsive　system　is　introduced　based　on　Halanay　differential　inequality.　Then,　by　employing　the　theory　of　differential　inclusion　and　the　proposed　lemma,　some　sufficient　conditions　are　deduced　to　guarantee　the　global　exponential　synchronization　of　memristive　quaternion-valued　fuzzy　neural　networks　under　a　simple　delayed　nonlinear　control　scheme.　Finally,　a　numerical　simulation　is　given　to　demonstrate　the　effectiveness　of　our　theoretical　results.　©　2024　Elsevier　B.V.