This paper investigates the event-triggered (ET) control problem for stochastic nonlinear systems (SNSs) with uncertain output function and time-varying delay. The nonlinear terms of the studied system satisfy the homogeneous growth condition with unknown growth rate. A novel dynamic-gain observer and a Lyapunov–Krasovskii functional are proposed to address the system uncertainties and time-varying delay. An adaptive ET control scheme is designed, featuring dynamic adjustability of the trigger threshold. Simultaneously, it can be proved that all closed-loop signals are bounded almost surely (a.s.). Simulation studies are provided to validate the feasibility of the devised control scheme.
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