Geometric classification of monogenic subspaces and uniparametric linear control systems
نویسندگان
چکیده
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,...
متن کاملClassification of Monogenic Invariant Subspaces and Uniparametric Linear Control Systems
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 variable...
متن کاملClassification of Monogenic Ternary Semigroups
The aim of this paper is to classify all monogenic ternary semigroups, up to isomorphism. We divide them to two groups: finite and infinite. We show that every infinite monogenic ternary semigroup is isomorphic to the ternary semigroup O, the odd positive integers with ordinary addition. Then we prove that all finite monogenic ternary semigroups with the same index...
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ژورنال
عنوان ژورنال: Linear and Multilinear Algebra
سال: 2014
ISSN: 0308-1087,1563-5139
DOI: 10.1080/03081087.2014.973874