A new neural network, Double Parasols Neural Network, is proposed here which is similar to a multilayered neural network, but is derived from an interconnected neural network. EBP-EWLS Method can be used as a learning algorithm. The proposed network is considered as a generalization of a regressor model for linear systems to nonlinear systems. Using this network, identification and control are examined for nonlinear discrete time systems to present a validity of the proposed method. Control strategy used here is a Target Following Control (TFC) method which makes it possible for the system output to attain the desired output in one step.