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The topology of the set of conditioned invariant subspaces

โœ Scribed by X. Puerta; U. Helmke

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
103 KB
Volume
40
Category
Article
ISSN
0167-6911

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โœฆ Synopsis

We consider the topology of the set of conditioned invariant subspaces of an observable pair (C; A) of a รฟxed dimension. By รฟxing the observability indices of the restricted system, a stratiรฟcation by รฟnitely many smooth manifolds is obtained, termed Brunovsky strata. It is shown that each Brunovsky stratum is homotopy equivalent to a generalized ag manifold. From this description an e ective formula for the Betti numbers of the Brunovsky strata can be derived.

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