Abstract:The near-optimal control scheme is proposed for a class of unknown continuous-time nonlinear systems based on single network approximate dynamic programming (ADP). The proposed scheme relaxes the requirement of the system model being known or partly known by designing a novel recurrent neural network(RNN) identifier, and eliminates the action network of ordinary ADP methods by employing a neural network(NN) to approximate the performance index function. By Lyapunov theory, it is proved that all the signals in the closed-loop system are ultimately uniformly bounded and the obtained optimal performance index function and control input lie in small neighborhoods of the optimal performance index function and the optimal control input, respectively. Simulation results demonstrate the effectiveness of the proposed scheme.