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The primeness degree of an nD polynomial matrix

Wood, J., Rogers, E. and Owens, D.H. (1997) The primeness degree of an nD polynomial matrix At 36th IEEE Conference on Decision and Control. , pp. 4254-9.

Record type: Conference or Workshop Item (Other)

Abstract

Primeness of nD polynomial matrices is of fundamental importance in multidimensional systems theory. In this paper we define a quantity which describes the "amount of primeness" of a matrix and identify it as the concept of grade in commutative algebra. This enables us to produce a theory which unifies many existing results, such as the Bezout identities and complementation laws, while placing them on a firm algebraic footing. We also present applications to autonomous systems, behavioural minimality of regular systems, and transfer matrix factorization.

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More information

Published date: 1997
Venue - Dates: 36th IEEE Conference on Decision and Control, 1997-01-01
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 250464
URI: http://eprints.soton.ac.uk/id/eprint/250464
PURE UUID: 2a3fb86c-f15e-4a4b-be80-01d9c422a817

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Date deposited: 13 Feb 2000
Last modified: 18 Jul 2017 10:41

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Contributors

Author: J. Wood
Author: E. Rogers
Author: D.H. Owens

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