Elliott, David L.Nonlinear system theory ideas have led to a method for approximating the dynamics of a nonlinear system in a bounded region of its state space, by training a feedforward neural network which is then reconfigured in recursive mode to provide a stand-alone simulator of the system. The input layer of the neural network contains time-delayed samples of one or more system outputs and control inputs. Autonomous systems can be simulated in this way by providing impulse inputs.en-USneural systemsfilteringnonlinear systemsIntelligent Signal ProcessingCommunications SystemsTechnical Report