Vafiadis, D. and Karcanias, N. ORCID: 0000-0002-1889-6314 (2018).
Unimodular equivalence and similarity for linear systems.
International Journal of Control,
doi: 10.1080/00207179.2018.1427892
Abstract
The problem of finding the mapping between unimoduar transformations relating two minimal matrix fraction descriptions (MFDs) of a transfer function, and the similarity transformations relating the respective minimal state-space representations is considered. It is shown that the problem is equivalent to finding the relation of MFDs of the input-state transfer functions of the two systems. This relation turns out to be an equivalence relation involving the unimodular and the similarity matrices relating the MFDs and the state-space systems, respectively. A canonical form for MFDs under this equivalence relation is obtained and it is shown that it leads to a canonical state-space representation, via a realisation procedure.
Publication Type: | Article |
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Additional Information: | This is an Accepted Manuscript of an article published by Taylor & Francis in International Journal of Control on 15 January 2018, available online: http://www.tandfonline.com/10.1080/00207179.2018.1427892. |
Publisher Keywords: | Linear systems, unimodular transformations, similarity, matrix fraction description |
Departments: | School of Mathematics, Computer Science & Engineering > Engineering School of Mathematics, Computer Science & Engineering > Engineering > Electrical & Electronic Engineering |
Date Deposited: | 11 Apr 2018 11:37 |
URI: | https://openaccess.city.ac.uk/id/eprint/19389 |
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