The paper rewrites a nonlinear system dy/dt = f(y,u) as dy/dt = B(y,u) y + M(y,u) u, where B and M are defined as f divided by a chosen linear form, so the transformation is an identity rather than a linearization.
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Use of Differential Equations With Variable Coefficients to Describe the Motions of Nonlinear Electromechanical Systems
The paper rewrites a nonlinear system dy/dt = f(y,u) as dy/dt = B(y,u) y + M(y,u) u, where B and M are defined as f divided by a chosen linear form, so the transformation is an identity rather than a linearization.