In　this　article,　a　decentralized　event-triggered　control　mechanism　is　established　to　solve　the　interconnected　issue　of　continuous-time　nonlinear　systems　with　asymmetric　input　constraints　and　matched　interconnections　based　on　the　adaptive　critic　technology.　First,　by　inserting　the　discount　factor,　a　novel　nonquadratic　cost　function　is　constructed　for　the　constrained　subsystem　with　nonzero　equilibrium　point.　Meanwhile,　the　decentralized　event-triggered　control　issue　is　transformed　into　a　set　of　optimal　control　issues.　Then,　the　execution　of　nominal　subsystem　is　based　on　the　event-triggered　mechanism　(ETM)　with　an　event-triggering　condition　which　increases　the　algorithm　efficiency.　Moreover,　we　derive　the　associated　event-triggered　Hamilton-Jacobi-Bellman　(HJB)　equation　which　arising　in　the　discounted-cost　optimal　event-triggered　control　issues　of　nominal　subsystems.　In　the　implementation,　an　adaptive　critic　framework　is　employed　to　approximate　the　optimal　cost　function.　Later,　the　experience　replay　(ER)　approach　is　introduced　into　a　novel　weight　tuning　mechanism,　which　converts　the　traditional　persistence　of　excitation　(PE)　condition　into　an　easy-checked　rank　condition.　Theoretically,　the　stability　of　the　system　and　the　exclusion　of　Zeno　behavior　are　demonstrated.　Finally,　one　representative　example　is　simulated　to　validate　the　efficacy　of　the　constructed　framework.