Replacing the decentralized control, the distributed control, is used for the networked system in order to achieve the exchange of information between the subsystems and to improve its performance. Based on the Lyapunov function method, the optimization algorithm for the maximal permissible time delay were derived in the case of a communication signal delay, and the stability criteria of the whole networked system were proposed respectively for the decentralized control and the distributed control . A simple networked system and the corresponding numerical simulation was couducted. By using the proposed theory. The results show that, compared with the traditional decentralized control, the network distributed control can improve the convergence rate of stability of the entire networked system.