On observability subspaces

Abstract

The paper presents an in depth study of topics in geometric control pertaining to observer theory from a functional point of view. We give characterizations of several classes of subspaces, including observability, almost observability and reconstructibility subspaces. We solve completely the problem of spectral assignability for observer dynamics by generalizing Rosenbrock's pole placement theorem. These results are then applied to observer theory.

Acknowledgements

This work was partially supported by ISF under Grants No. 235/01 and 1282/05. P.A. Fuhrmann holds the Earl Katz Family Chair in Algebraic System Theory. National ICT Australia Limited is funded by the Australian Government's Department of Communications, Information Technology and the Arts and the Australian Research Council through Backing Australia's Ability and the ICT Centre of Excellence Program.