On the equivalence between differential flatness and dynamic feedback linearizability

摘要: Abstract The equivalence between dynamic feedback linearizability and flatness was listed in (Fliess et al., 1999a) as one of the open problems field Nonlinear System Theory. More precisely it is shown 1999b) that differential equivalent to endogeneous linearizability, whereas original definition involves more general feedbacks called regular. We prove this paper two definitions for meromorphic nonlinear systems a consequence necessary sufficient conditions obtained (Levine, 2004; Levine, 2006).