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dc.contributor.authorPuerta Sales, Ferran
dc.contributor.authorPuerta Coll, Xavier
dc.contributor.authorZaballa, Ion
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.description.abstractGiven 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.
dc.format.extent15 pages
dc.rightsAttribution-NonCommercial-NoDerivs 2.5 Spain
dc.subject.lcshSystem theory
dc.subject.lcshAlgebras, Linear
dc.subject.lcshMultilinear algebra
dc.subject.othercontrollability pairs
dc.titleOn the parametrization of the controllability pairs of a controllable subspaces of a controllable pair
dc.subject.lemacSistemes, Teoria de
dc.subject.lemacÀlgebra lineal
dc.subject.lemacÀlgebra multilineal
dc.subject.lemacMatriu S, Teoria
dc.contributor.groupUniversitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.subject.amsClassificació AMS::15 Linear and multilinear algebra; matrix theory
dc.subject.amsClassificació AMS::93 Systems Theory; Control::93B Controllability, observability, and system structure
dc.rights.accessOpen Access

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