A coordinate atlas of the manifold of observable conditioned invariant subspaces

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hdl:2117/350141
Document typeArticle
Defense date2001-02
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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.
ISSN0020-7179
Publisher versionhttps://www.tandfonline.com/doi/abs/10.1080/00207170110062571
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