The　paper　proposes　a　novel　event-triggered　control　scheme　for　nonlinear　systems.　Specifically,　the　closed-loop　system　is　associated　with　a　pair　of　auxiliary　input　and　output.　The　auxiliary　output　is　defined　as　the　derivative　of　the　continuous-time　input　function,　while　the　auxiliary　input　is　defined　as　the　input　disturbance　caused　by　the　sampling　or　equivalently　the　integral　of　the　auxiliary　output　over　the　sampling　period.　As　a　result,　it　forms　a　cyclic　mapping　from　the　input　to　the　output　via　the　system　dynamics　and　back　from　the　output　to　the　input　via　the　integral.　The　event-triggered　law　is　constructed　to　make　the　mapping　contractive　such　that　the　stabilization　is　achieved　and　an　easy-to-check　Zeno　free　condition　is　provided.　Within　this　framework,　we　develop　a　theorem　for　the　event-triggered　control　of　interconnected　nonlinear　systems　which　is　employed　to　solve　the　event-triggered　control　for　lower-triangular　systems　with　dynamic　uncertainties.　(C)　2021　Elsevier　Ltd.　All　rights　reserved.