A coordinate atlas of the manifold of observable conditioned invariant subspaces

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Title:	A coordinate atlas of the manifold of observable conditioned invariant subspaces
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 an observable system (C,A)€ K^(mxn)X K^(nxn)with K=R or C, the set of (C,A)-invariant subspaces having the restricted system fixed observability indices is a smooth manifold embedded on the corresponding Grassmannian. We obtain an explicit parametrization of it by means of an atlas of corresponding charts. As an application we obtain the set of maximal dimensional outputs making solvable a generic Disturbance Decoupling Problem.
Subject(s):	-System theory -Conditioned invariant subspace -Smooth manifold -Coordinate chart -Brunovsky bases -disturbance decoupling problem -Sistemes de control -Sistemes, Teoria de -Classificació AMS::93 Systems Theory; Control::93B Controllability, observability, and system structure -Classificació AMS::93 Systems Theory; Control::93C Control systems, guided systems
Rights:	Attribution-NonCommercial-NoDerivs 2.5 Spain http://creativecommons.org/licenses/by-nc-nd/2.5/es/
Document type:	Article
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