On the parametrization of the controllability subspaces of a controllable pair

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Título:	On the parametrization of the controllability subspaces of a controllable pair
Autor/a:	Puerta Sales, Ferran; Puerta Coll, Xavier; Zaballa, Ion
Otros autores:	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 an stratified submanifold of the set of (A;B)-invariant subspaces. We parameterize each strata by means of coordinate charts. This parametrization has significant di®erences to that of (A;B) invariant subspaces, showing a more complex geometric structure.
Materia(s):	-System theory -Algebras, Linear -Multilinear algebra -Matrices -parametrization -controllable pair -controllability subspaces -Sistemes, Teoria de -Àlgebra lineal -Àlgebra multilineal -Matriu S, Teoria -Classificació AMS::93 Systems Theory; Control::93B Controllability, observability, and system structure -Classificació AMS::15 Linear and multilinear algebra; matrix theory
Derechos:	Attribution-NonCommercial-NoDerivs 2.5 Spain http://creativecommons.org/licenses/by-nc-nd/2.5/es/
Tipo de documento:	Artículo
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