Normal forms and approximated feedback linearization in discrete time

The paper discusses approximated feedback linearization of nonlinear discrete-time dynamics which are controllable in first approximation and introduces two types of normal forms. The study is set in the context of differential/difference representations of discrete-time dynamics proposed in [Monaco, Normand-Cyrot, in: Normand-Cyrot (Ed.), Perspectives in Control, a Tribute to Ioan Doré Landau, Springer, Londres, 1998, pp. 191–205].