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.
db24b8ef-282b-47c0-9cd2-75e91d312ad7
1998
Wood, J.
65587872-7126-469a-851a-d60195d39058
Rogers, E.
611b1de0-c505-472e-a03f-c5294c63bb72
Owens, D.H.
db24b8ef-282b-47c0-9cd2-75e91d312ad7
Wood, J., Rogers, E. and Owens, D.H.
(1998)
The behavioural pole structure of nD systems.
38th IEEE Conference on Decision and Control.
.
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Conference or Workshop Item
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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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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
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Date deposited: 16 Feb 2000
Last modified: 18 Oct 2022 01:32
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Contributors
Author:
J. Wood
Author:
E. Rogers
Author:
D.H. Owens
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