Abstract: We discussed the networked control system which is based on singular control system. According to the actual conditions, we set up the models which have the network induced delay and give the respondence of state, and give the new definitions about the case and effect character. The necessary and sufficient conditions for the state controllability, output controllability and state observability of the networked control system were presented. Finally we discussed the duality and gave an example to prove the theorem.

Key words: singular control system, network control system, discrete system, controllability, observability, duality theory