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Feedback control systems wherein the control loops through a real-time network are called networked control system. Network intervention brings many uncertain factors, such as network induced delay, data packet dropout and quantization error, which will affect the stability of the system, and even lead to the instability of the system. As for delay network control system with quantizer, sensor-to-controller channel and controller-to-actuator channel both have data packet dropout, and the system is modeled as an asynchronous dynamic system. The stability of the system is analyzed by using the exponential stability theory of asynchronous dynamic system and linear matrix inequality toolbox. The numerical example is simulated by Linear Matrix Inequality(LMI) toolbox of MATLAB software, and the feasibility of the scheme is verified. Finally, the design method of controller parameters is presented.