Classi fication of monogenic invariant subspaces and uniparametric linear control systems

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Title:	Classi fication of monogenic invariant subspaces and uniparametric linear control systems
Author:	Compta Creus, Albert; Ferrer Llop, Josep
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
Abstract:	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
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística -Linear control systems -endomorphism -invariant subspaces -uniparametric control system -bimodal control system -Sistemes lineals de control -Classificació AMS::15 Linear and multilinear algebra; matrix theory -Classificació AMS::93 Systems Theory; Control::93B Controllability, observability, and system structure
Rights:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Draft Report
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