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Towards a compactification of the set of conditioned invariant subspaces

✍ Scribed by J. Trumpf; U. Helmke; P.A. Fuhrmann


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
152 KB
Volume
48
Category
Article
ISSN
0167-6911

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✦ Synopsis


A compactiÿcation of the set of conditioned invariant subspaces of ÿxed dimension for an observable pair (C; A) is proposed. It contains the almost conditioned invariant subspaces of the same dimension. In certain cases the compactiÿcation is shown to be smooth and a complete geometric description is given in the case of a single-output system.


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