Based on seeing the process of muiti-layered neural network learning to get optimal weight set as the self-organizing and self-learning parameter identification of non-linear dynamic system model

the GBP adaptive recursive identification algorithm and medel test methed for time-invariant or time-variant dynamic systems are intreduced in this paper. GBP recursive algorithm includes dual-direction identification processes.One is at the sampling interval

the other is at the time series.Also it is extension of the existing algorithm for multi-layered NN. Simulation study shows its efficlency.