Abstract: The regular and impulsive-free singular NCSs (networked control systems) with networked-induced delay and data packet dropout are discussed, where the sensor node is time-driven but the controller and executor are event-driven. Assuming that the transfer delay is shorter than the sampling period and the data packets can be transferred successfully at a constant rate, the singular NCS can be modeled as an asynchronous dynamical system. With the Lyapunov function and LMI (linear matrix inequality) method, the sufficient conditions for stability is given and, by virtue of the Matlab LMI toolbox, the desired state feedback control law is given at the same time. A simulation example is given to illustrate that the proposed method is efficient.