Structure indices for multidimensional systems
Structure indices for multidimensional systems
The structure indices of a one-dimensional system are an important set of invariants. In this paper we examine a generalization of this concept to multidimensional linear systems, which corresponds to the algebraic concept of a Hilbert series. We use the standard theory of the Hilbert series to explain some of the previous 1D system-theoretic results. We discuss the computation of nD structure indices from an initial condition set, and the invariants which can be derived from these indices.
227-56
Wood, J.
65587872-7126-469a-851a-d60195d39058
Rocha, P.
7fb9de01-75f9-4cb8-96a2-dbbb8cdf28f4
Rogers, E.
611b1de0-c505-472e-a03f-c5294c63bb72
Owens, D.H.
db24b8ef-282b-47c0-9cd2-75e91d312ad7
2000
Wood, J.
65587872-7126-469a-851a-d60195d39058
Rocha, P.
7fb9de01-75f9-4cb8-96a2-dbbb8cdf28f4
Rogers, E.
611b1de0-c505-472e-a03f-c5294c63bb72
Owens, D.H.
db24b8ef-282b-47c0-9cd2-75e91d312ad7
Wood, J., Rocha, P., Rogers, E. and Owens, D.H.
(2000)
Structure indices for multidimensional systems.
IMA Journal of Mathematical Control and Information, 17 (3), .
Abstract
The structure indices of a one-dimensional system are an important set of invariants. In this paper we examine a generalization of this concept to multidimensional linear systems, which corresponds to the algebraic concept of a Hilbert series. We use the standard theory of the Hilbert series to explain some of the previous 1D system-theoretic results. We discuss the computation of nD structure indices from an initial condition set, and the invariants which can be derived from these indices.
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Published date: 2000
Organisations:
Southampton Wireless Group
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Local EPrints ID: 250459
URI: http://eprints.soton.ac.uk/id/eprint/250459
PURE UUID: 8152995d-f5f6-4939-8f15-2ebe45a81243
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Date deposited: 20 Oct 2000
Last modified: 18 Oct 2022 01:32
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Author:
J. Wood
Author:
P. Rocha
Author:
E. Rogers
Author:
D.H. Owens
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