This　paper　investigates　the　leader-following　consensus　problem　for　general　linear　multiagent　systems　under　a　fully　distributed　manner.　To　avoid　using　the　global　information　of　the　communication　network,　two　node-based　adaptive　parameters　are　designed　and　introduced　to　the　fully　distributed　event-based　control　law.　Such　a　protocol　is　more　scalable　and　flexible　for　large-scaled　and　complex　networked　system,　such　as　microgrids　or　multiple　unmanned　vehicles.　A　novel　event-triggered　rule　is　presented,　and　an　internal　dynamic　variable　is　introduced　in　it　to　further　cut　down　the　triggering　times　and　save　the　communication　resources.　A　well-designed　Lyapunov　function　candidate　is　constructed　to　not　only　ensure　the　convergence　of　the　close-looped　systems　but　also　avoid　using　the　eigenvalue　of　Laplacian　matrix　in　the　dynamic　variable.　Moreover,　it　is　proved　that　the　designed　event-triggered　conditions　can　avoid　the　Zeno　behaviour.　Finally,　a　simulation　example　based　on　a　group　of　unmanned　intelligent　vehicle　systems　is　provided　to　demonstrate　the　validity　of　the　designed　control　method.　©　2023　The　Franklin　Institute