Achieving　synchronization　in　a　designated　time　for　multilayered　networks　(MLNs)　is　particularly　challenging　when　state　information　is　unavailable.　This　study　provides　theoretical　solutions　to　the　fixed-time　(FIM)　and　predetermined-time　(PIM)　synchronization　problems　in　MLNs.　Firstly,　a　high-resolution　model　of　MLNs　is　established　with　both　intra-layer　and　inter-layer　coupling.　Additionally,　a　practical　PIM　stability　theorem　and　high-precision　settling　time　estimation　are　formulated.　Furthermore,　two　edge-based　event-triggered　intermittent　control　(EAIC)　strategies　are　developed　for　MLNs　using　various　auxiliary　functions.　FIM/PIM　synchronization　issues　are　addressed　while　eliminating　Zeno　behaviors　throughout,　except　during　the　settling　time.　Ultimately,　the　feasibility　of　the　proposed　theory　is　demonstrated　through　the　design　of　a　synchronization　circuit　within　the　complex　system.　©　2025