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The behavioural pole structure of nD systems

The behavioural pole structure of nD systems
The behavioural pole structure of nD systems
In this paper, we discuss the pole structure of nD linear systems from a behavioural point of view. We define the notions of irreducible, reducible, manifest and latent poles, which correspond in the classical 1D setting to controllable poles, input decoupling zeros, observable poles and output decoupling zeros. Our definition of poles can be interpreted in terms of kernel representations, and also allows an integral representation of any zero-input trajectory in terms of system poles.
108-113
Wood, J.
65587872-7126-469a-851a-d60195d39058
Rogers, E.
611b1de0-c505-472e-a03f-c5294c63bb72
Owens, D.H.
3452e9bb-d3bd-4995-b4bb-424bbd288b09
Wood, J.
65587872-7126-469a-851a-d60195d39058
Rogers, E.
611b1de0-c505-472e-a03f-c5294c63bb72
Owens, D.H.
3452e9bb-d3bd-4995-b4bb-424bbd288b09

Wood, J., Rogers, E. and Owens, D.H. (1998) The behavioural pole structure of nD systems. 38th IEEE Conference on Decision and Control. pp. 108-113 .

Record type: Conference or Workshop Item (Other)

Abstract

In this paper, we discuss the pole structure of nD linear systems from a behavioural point of view. We define the notions of irreducible, reducible, manifest and latent poles, which correspond in the classical 1D setting to controllable poles, input decoupling zeros, observable poles and output decoupling zeros. Our definition of poles can be interpreted in terms of kernel representations, and also allows an integral representation of any zero-input trajectory in terms of system poles.

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More information

Published date: 1998
Venue - Dates: 38th IEEE Conference on Decision and Control, 1998-01-01
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 250467
URI: http://eprints.soton.ac.uk/id/eprint/250467
PURE UUID: 61bb2400-9532-4cc3-9730-9b2f8aa1c52d
ORCID for E. Rogers: ORCID iD orcid.org/0000-0003-0179-9398

Catalogue record

Date deposited: 16 Feb 2000
Last modified: 20 Jul 2019 01:23

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