Towards a compactification of the set of conditioned invariant subspaces

J. Trumpf; U. Helmke; P. A. Fuhrmann

doi:10.1016/S0167-6911(02)00258-X

Towards a compactification of the set of conditioned invariant subspaces

J. Trumpf^*, U. Helmke, P. A. Fuhrmann

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	101-111
Number of pages	11
Journal	Systems and Control Letters
Volume	48
Issue number	2
DOIs	https://doi.org/10.1016/S0167-6911(02)00258-X
Publication status	Published - 15 Feb 2003
Externally published	Yes

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10.1016/S0167-6911(02)00258-X

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title = "Towards a compactification of the set of conditioned invariant subspaces",

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

keywords = "Compactification, Conditioned invariant subspace, Geometric control, Grassmann manifold, Parametrization problems",

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AU - Trumpf, J.

AU - Helmke, U.

AU - Fuhrmann, P. A.

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N2 - A compactification of the set of conditioned invariant subspaces of fixed dimension for an observable pair (C,A) is proposed. It contains the almost conditioned invariant subspaces of the same dimension. In certain cases the compactification is shown to be smooth and a complete geometric description is given in the case of a single-output system.

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

KW - Compactification

KW - Conditioned invariant subspace

KW - Geometric control

KW - Grassmann manifold

KW - Parametrization problems

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U2 - 10.1016/S0167-6911(02)00258-X

DO - 10.1016/S0167-6911(02)00258-X

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VL - 48

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EP - 111

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 2

ER -

Towards a compactification of the set of conditioned invariant subspaces

Abstract

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