Abstract: When the random time-varying delays of networked control systems (NCSs) are bounded and the upper bound of the delays is longer than a sampling period, the model of continuous-time system with dynamic output feedback controllers is presented. Based on this, the model of continuous-time system is discretized and the augmented state-space method is employed to build a discrete-time jump system model governed by finite-state Markov chains. An approach to get the feasible initial solution of interior-point method is proposed in the design of stabilizing controllers, thereby the problem of solvability of the model is settled. Theoretical analysis and simulation on a cart and inverted pendulum show that the presented dynamic output feedback controllers can make the system stable.