On the parametrization of the controllability pairs of a controllable subspaces of a controllable pair

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Title:	On the parametrization of the controllability pairs of a controllable subspaces of a controllable pair
Author:	Puerta Sales, Ferran; Puerta Coll, Xavier; Zaballa, Ion
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:	Given a controllable linear control system defined by a pair of constant matrices (A,B), the set of controllability subspaces is a stratified submanifold of the set of (A,B)-invariant subspaces. We parametrize each strata by means of coordinate charts. This parametrization has significant differences to that of (A,B) invariant subspaces, showing a more complex geometric structure.
Subject(s):	-System theory -Algebras, Linear -Multilinear algebra -Matrices -parametrization -controllability pairs -Sistemes, Teoria de -Àlgebra lineal -Àlgebra multilineal -Matriu S, Teoria -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 2.5 Spain http://creativecommons.org/licenses/by-nc-nd/2.5/es/
Document type:	Article
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