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A coordinate atlas of the manifold of observable conditioned invariant subspaces

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Puerta Sales, FerranMés informació
Puerta Coll, XavierMés informacióMés informació
Zaballa, I
Document typeArticle
Defense date2001-02
Rights accessOpen Access
Attribution-NonCommercial-NoDerivs 3.0 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain
Abstract
Given an observable system (C,A) € Km×n×Kn×n 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 coordinate charts. This parametrization can be applied to solve some design problems related to the Disturbance Decoupling Problem
CitationPuerta, F.; Puerta, F.; Zaballa, I. A coordinate atlas of the manifold of observable conditioned invariant subspaces. "International journal of control", Febrer 2001, vol. 74, núm. 12, p. 1226-1238. 
URIhttp://hdl.handle.net/2117/350141
DOI10.1080/00207170110062571
ISSN0020-7179
Publisher versionhttps://www.tandfonline.com/doi/abs/10.1080/00207170110062571
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  • EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions - Articles de revista [415]
  • Departament de Matemàtiques - Articles de revista [2.979]
  • SCL-EG - Sistemes de Control Lineals: estudi Geomètric - Articles de revista [57]
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