The adaptive neural-network dynamic surface-control is presented for a class of nonlinear systems in a strictfeedback form with unmodeled dynamics.This scheme extends the routine method of dynamic surface-control to the strict-feedback nonlinear systems with unmodeled dynamics,thus broadens the application of the dynamic surface-control. The effects of unmodeled dynamics are reduced by introducing the defined compact set to dynamic surface-control design. Using Young's inequality,we developed two adaptive p...