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Controllable and Uncontrollable Poles and Zeros of nD Systems

Controllable and Uncontrollable Poles and Zeros of nD Systems
Controllable and Uncontrollable Poles and Zeros of nD Systems
We use the behavioural approach to define and characterize controllable and uncontrollable poles and zeros of multidimensional (nD) linear Systems. We show a strong relationship between controllable poles and zeros and properties of the transfer function matrix and we give characterisations of uncontrollable poles and zeros, in particular demonstrating that these have an input decoupling property.
281-298
Zaris, P M
09329412-e809-4398-9587-8f4c055458fd
Wood, J
9d32c83e-9d59-4c32-8ab2-a5f64ecc26e6
Rogers, E
611b1de0-c505-472e-a03f-c5294c63bb72
Zaris, P M
09329412-e809-4398-9587-8f4c055458fd
Wood, J
9d32c83e-9d59-4c32-8ab2-a5f64ecc26e6
Rogers, E
611b1de0-c505-472e-a03f-c5294c63bb72

Zaris, P M, Wood, J and Rogers, E (2001) Controllable and Uncontrollable Poles and Zeros of nD Systems. Mathematics of Control, Signals, and Systems, 14, 281-298.

Record type: Article

Abstract

We use the behavioural approach to define and characterize controllable and uncontrollable poles and zeros of multidimensional (nD) linear Systems. We show a strong relationship between controllable poles and zeros and properties of the transfer function matrix and we give characterisations of uncontrollable poles and zeros, in particular demonstrating that these have an input decoupling property.

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Published date: 2001
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 264341
URI: http://eprints.soton.ac.uk/id/eprint/264341
PURE UUID: 8475658f-d154-4475-9916-cb3e44a10b8f
ORCID for E Rogers: ORCID iD orcid.org/0000-0003-0179-9398

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Date deposited: 24 Jul 2007
Last modified: 05 Nov 2019 02:06

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