Abstract: To solve the problems of data packet dropout and network-induced time delay, the networked control system for something as a singular system is modeled to become an asynchronously dynamical discrete system if the relevant sensors and controllers/actuators are time-driven and event-driven, respectively. Then, by Lyapunov function and linear matrix inequality (LMI), the sufficient conditions are given to make the singular networked control system exponentially stable. With the closed-loop networked control system exponentially stabilized, the state feedback control law which can make the system exponentially stable is also obtained by solving some LMIs. An example is given to illustrate the effectiveness of the proposed method.