Thesis-1993-Johnson.pdf (5.99 MB)
Coprimeness in multidimensional system theory and symbolic computation
thesis
posted on 2018-02-20, 15:19 authored by Dean S. JohnsonDuring the last twenty years the theory of linear algebraic and high-order differential
equation systems has been greatly researched. Two commonly used types of system
description are the so-called matrix fraction description (MFD) and the Rosenbrock
system matrix (RSM); these are defined by polynomial matrices in one indeterminate.
Many of the system's physical properties are encoded as algebraic properties of these
polynomial matrices. The theory is well developed and the structure of such systems
is well understood. Analogues of these 1-D realisations can be set up for many
dimensional systems resulting in polynomial matrices in many indeterminates. The
scarcity of detailed algebraic results for such matrices has limited the understanding
of such systems. [Continues.]
Funding
Science and Engineering Research Council.
History
School
- Science
Department
- Mathematical Sciences
Publisher
© Dean S. JohnsonPublisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 2.5 Generic (CC BY-NC-ND 2.5) licence. Full details of this licence are available at: http://creativecommons.org/licenses/by-nc-nd/2.5/Publication date
1993Notes
A doctoral thesis submitted in partial fulfilment of the requirements for the award of Doctor of Philosophy at Loughborough University.Language
- en