Conditioned invariant subspaces and the geometry of nilpotent matrices

Uwe Helmke; Jochen Trumpf

doi:10.1007/10984413_9

Conditioned invariant subspaces and the geometry of nilpotent matrices

Uwe Helmke^*, Jochen Trumpf

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

1 Citation (Scopus)

Abstract

The focus of this work is on certain geometric aspects of the classification problems for invariant and conditioned invariant subspaces. In this paper, we make an attempt to illustrate the interplay between geometry and control, by focussing on the connections between partial state observers, spaces of invariant and conditioned invariant subspaces, and nilpotent matrices.

Original language	English
Title of host publication	Lecture Notes in Control and Information Sciences
Editors	Wijesuriya P. Dayawansa, Anders Lindquist, Yishao Zhou
Publisher	Springer Verlag
Pages	123-163
Number of pages	41
ISBN (Print)	9783540239536
DOIs	https://doi.org/10.1007/10984413_9
Publication status	Published - 2005

Publication series

Name	Lecture Notes in Control and Information Sciences
Volume	321
ISSN (Print)	0170-8643

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10.1007/10984413_9

Cite this

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title = "Conditioned invariant subspaces and the geometry of nilpotent matrices",

abstract = "The focus of this work is on certain geometric aspects of the classification problems for invariant and conditioned invariant subspaces. In this paper, we make an attempt to illustrate the interplay between geometry and control, by focussing on the connections between partial state observers, spaces of invariant and conditioned invariant subspaces, and nilpotent matrices.",

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Conditioned invariant subspaces and the geometry of nilpotent matrices. / Helmke, Uwe; Trumpf, Jochen.
Lecture Notes in Control and Information Sciences. ed. / Wijesuriya P. Dayawansa; Anders Lindquist; Yishao Zhou. Springer Verlag, 2005. p. 123-163 (Lecture Notes in Control and Information Sciences; Vol. 321).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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AU - Trumpf, Jochen

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AB - The focus of this work is on certain geometric aspects of the classification problems for invariant and conditioned invariant subspaces. In this paper, we make an attempt to illustrate the interplay between geometry and control, by focussing on the connections between partial state observers, spaces of invariant and conditioned invariant subspaces, and nilpotent matrices.

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Conditioned invariant subspaces and the geometry of nilpotent matrices

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