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.
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)
Minimum lag descriptions and minimal Grobner bases.
Systems & Control Letters, 34, .
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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Published date: 1998
Organisations:
Southampton Wireless Group
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Local EPrints ID: 250455
URI: http://eprints.soton.ac.uk/id/eprint/250455
PURE UUID: dd41c3f6-1ff0-4103-aeab-7f2aedda1a60
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Date deposited: 01 Jun 1999
Last modified: 18 Oct 2022 01:32
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Author:
J. Wood
Author:
E. Rogers
Author:
D.H. Owens
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