  In this document, we deal with the stabilization problem of slow-fast systems
(or singularly perturbed Ordinary Differential Equations) at a non-hyperbolic
point. The class of systems studied here have the following properties: 1) they
have one fast variable and an arbitrary number of slow variables, 2) they have
a non-hyperbolic singularity of the fold type at the origin. The presence of
the aforementioned singularity complicates the analysis and the controller
design of such systems. In particular, the classical theory of singular
perturbations cannot be used. We show a novel design process based on geometric
desingularization, which allows the stabilization of a fold point of singularly
perturbed control systems. Our results are exemplified on an electric circuit.
