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Towards a compactification of the set of conditioned invariant subspaces

Date

Authors

Trumpf, Jochen

Helmke, Uwe

Fuhrmann, P A

Publisher

Elsevier

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

Keywords: Control equipment; Geometry; Linear control systems; Invariant subspaces; Invariance Compactification; Conditioned invariant subspace; Geometric control; Grassmann manifold; Parametrization problems

URI

http://hdl.handle.net/1885/26840

Collections

ANU Research Publications

Source

Systems and Control Letters

Type

Journal article

DOI

10.1016/S0167-6911(02)00258-X

Restricted until

2037-12-31

Downloads

File

Description

01_Trumpf_Towards_a_compactification_of_2003.pdf (136.95 KB)