Classification of Monogenic Invariant Subspaces and Uniparametric Linear Control Systems
نویسندگان
چکیده
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. AMS Mathematics Subject Classification : 15A21, 93B10, 15A03.
منابع مشابه
Geometric Classification of Monogenic Subspaces and Uniparametric Linear Control Systems
We present a geometric approach to the classification of monogenic invariant subspaces, alternative to the classical algebraic one, which allows us to obtain several matricial canonical forms for each class. Some applications are derived: canonical coordinates of a vector with regard to an endomorphism, and a canonical form for uniparametric linear control systems, not necessarily controllable,...
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