On the Linearization of the Discrete-time Nonlinear Systems, $x_{k+1}=G_{u_k}{o}F{(x_k)}$

비선형 이산 시간 시스템 $x_{k+1}=G_{u_k}{o}F{(x_k)}$ 의 선형화에 관하여

We investigate the feedback linearizability of nonlinear discrete-time system s of a specific form, $x_k=G_{u_k}oF(x_k)$ where F is a diffeomorphism and [$G_{u_k}$] forms an one parameter group of diffeomorphisms. This structure represents a class of systems which are state equivalent to linear ones and approximates the sampled data model of a continuous-time system. It is also considered a relationship between linearizability and discretization.