The classification of the invariant subspaces of an endomorphism has been an open problem
for a long time, and it is a ”wild” problem in the general case. Here we obtain a full
classification for the monogenic ones. Some applications are derived: in particular, canonical
forms for uniparametric linear control systems, non necessarily controllable, with regard to
linear changes of state variables
Compta, A.; Ferrer, J. "Classi fication of monogenic invariant subspaces and uniparametric linear control systems". 2012.