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Minimum lag descriptions and minimal Grobner bases

Minimum lag descriptions and minimal Grobner bases
Minimum lag descriptions and minimal Grobner bases
We generalize the concept of a minimum lag description to multidimensional autoregressive discrete systems. We show that our definition is equivalent to the property that the rows of the representation matrix form a minimal Grobner basis. In the 1D case, the new definition is strictly stronger than that of Willems, but yields the same minimum lags.
289-93
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) Minimum lag descriptions and minimal Grobner bases. Systems & Control Letters, 34, 289-93.

Record type: Article

Abstract

We generalize the concept of a minimum lag description to multidimensional autoregressive discrete systems. We show that our definition is equivalent to the property that the rows of the representation matrix form a minimal Grobner basis. In the 1D case, the new definition is strictly stronger than that of Willems, but yields the same minimum lags.

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More information

Published date: 1998
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 250455
URI: http://eprints.soton.ac.uk/id/eprint/250455
PURE UUID: dd41c3f6-1ff0-4103-aeab-7f2aedda1a60
ORCID for E. Rogers: ORCID iD orcid.org/0000-0003-0179-9398

Catalogue record

Date deposited: 01 Jun 1999
Last modified: 29 Aug 2019 00:54

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