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In this paper we study general stability condition of distributed networked control systems with minimum number of necessary communication links. We use the Lyapunov direct method to find a general stability condition that guarantees the asymptotic stability of the entire networked control system and then use binary programming to design a communications network with minimum number of links that satisfies the general stability condition. Reducing the number of communication links implies minimization of the communications network's cost and energy consumption . The results apply to networks of linear time-invariant (LTI) systems.