Thesis-1999-McInerney.pdf (4.34 MB)
Representations and transformations for multi-dimensional systems
thesisposted on 2018-01-23, 16:36 authored by Simon J. McInerney
Multi-dimensional (n-D) systems can be described by matrices whose elements are polynomial in more than one indeterminate. These systems arise in the study of partial differential equations and delay differential equations for example, and have attracted great interest over recent years. Many of the available results have been developed by generalising the corresponding results from the well known 1-D theory. However, this is not always the best approach since there are many differences between 1-D, 2-D and n-D (n>2) polynomial matrices. This is due mainly to the underlying polynomial ring structure. [Continues.]
Engineering and Physical Sciences Research Council.
- Mathematical Sciences
Publisher© Simon J. McInerney
Publisher statementThis 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/
NotesA Doctoral Thesis. Submitted in partial fulfilment of the requirements for the award of Doctor of Philosophy at Loughborough University.