A symbolic matrix decomposition algorithm for reduced order linear fractional transformation modelling

Marcos, Andrés, Bates, Declan and Postlethwaite, Ian (2007) A symbolic matrix decomposition algorithm for reduced order linear fractional transformation modelling. Automatica, 43 (7). pp. 1211-1218. ISSN 0005-1098

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Abstract

In this paper an algorithm that provides an equivalent, but of reduced order, representation for multivariate polynomial matrices is given. It combines ideas from computational symbolic algebra, polynomial/matrix algebraic manipulations and information logic. The algorithm is applied to the problem of finding minimal linear fractional transformation models. Statistical performance analysis of the algorithm reveals that it consistently outperforms currently available algorithms.

Item Type:	Article
Uncontrolled Keywords:	symbolic multivariate polynomial matrices
Subjects:	H400 Aerospace Engineering H600 Electronic and Electrical Engineering
Department:	Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User:	Sarah Howells
Date Deposited:	14 Nov 2012 16:11
Last Modified:	13 Oct 2019 00:23
URI:	http://nrl.northumbria.ac.uk/id/eprint/10270

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