Abstract: Aiming at the network control system(NCS),which features the event-drivened controller and actuator,time-drivened sensor,and the network induced delay is uncertain and is less than one sampling period,a discrete model in the case of single-packet transmission is developed.Based on Lyapunov function and linear matrix inequality(LMI),a sufficient condition for NCS which is subject to the asymptotic stability and H_∞ performance is derived.A simulation example with Matlab shows that the analysis method and results are valid and feasible.