A coordinate atlas of the manifold of observable conditioned invariant subspaces

Puerta Sales, Ferran; Puerta Coll, Xavier; Zaballa, I

doi:10.1080/00207170110062571

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Puerta Sales, Ferran

Puerta Coll, Xavier

Zaballa, I

Document typeArticle

Defense date2001-02

Rights accessOpen Access

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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