Abstract: For linear time-invariant normal controlled plant, under the assumption that controller and actuator adopt the method of event-time driven the system is a variable-sampling networked control system，and network-induced delay time is uncertain，it is less than or equals to a variable-sampling period. Basing on the dynamic output feedback the variable-sampling networked control system is modeled.Making used of the Lyapunov technique and linear matrix inequality description, the robust stability of the system is studied, and the condition of robust stability and the design method of robust control law of the system are presented respectively.Finally，an example is given to illustrate the analysis results.