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This paper is concerned with the controller design of networked control systems (NCSs) with time delay in the plant. We employ a model of the NCSs with time delay in the plant, taking into consideration both the network-induced delay and the time delay in the plant. On the basis of the given model, a controller design method is proposed by using the delay-dependent approach. An appropriate Lyapunov functional candidate is proposed to lead to the criteria in this paper by combining the free-weighting matrix method. The feedback gain of a memoryless controller can be derived by solving a set of linear matrix inequalities (LMIs). Moreover, the correlation between the network-induced delay and the time delay in the plant is also investigated. A numerical example is given to illustrate the effectiveness of our method and the reciprocal influences between the network-induced delay and the delay in the plant.