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This paper studies Monge parameterization, or differential flatness, of control-affine systems with four states and two controls. Some of them are known to be flat, and this implies
admitting a Monge parameterization. Focusing on systems outside this class, we describe the only possible structure of such a parameterization for these systems, and give a
lower bound on the order of this parameterization, if it exists. This lower-bound is good enough to recover the known results about “-flatness”...
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