Abstract
The paper studies the problem of finding a realization of a nonlinear system described by a higher-order differential equation in the so-called feedforward form. A necessary and sufficient condition for the problem to be solvable is given, and it is represented by the requirement that the corresponding polynomial description of such an equation can be factorized. Then certain one-forms associated to the factorization are always integrable which allows to write down the realization. The results are also applied to derive a necessary and sufficient condition for the transformation of a nonlinear state equations into the feedforward form.
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