The geometric approach proposed in Califano et al. ("Nonlinear noninteracting control with stability in discrete-time: a geometric approach'', Int. J. Control, 75( 1), pp. 11-22, 2002) for non-linear non-interacting control with stability via static state feedback in discrete time, is now used to find a dynamic solution for systems characterized by an invertible drift. Geometric necessary and sufficient conditions are given. A constructive procedure for the computation of the dynamic compensator solving the problem is proposed.