Unimodular Transformations and Canonical Forms for Singular Systems
Vafiadis, D. & Karcanias, N. 
ORCID: 0000-0002-1889-6314 (2017).
Unimodular Transformations and Canonical Forms for Singular Systems.
IFAC-PapersOnLine, 50(1),
pp. 10816-10821.
doi: 10.1016/j.ifacol.2017.08.2356
Abstract
The relationship between the unimodular matrices relating coprime and column reduced matrix fraction descriptions (MFD) of a nonproper transfer function, and the restricted system equivalence (r.s.e.) transformations relating the corresponding generalised state space realisations is considered. It is shown that the r.s.e and unimodular transformations can be directly obtained from each other by inspection. The r.s.e. transformations leading to the canonical form are derived from the unimodular transformations leading to the echelon canonical form of the composite matrix of the MFD of the system.
| Publication Type: | Article |
|---|---|
| Additional Information: | © 2016, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/. |
| Publisher Keywords: | singular systems; canonical forms; matrix fraction description |
| Departments: | School of Science & Technology > Engineering |
| SWORD Depositor: |
Available under License Creative Commons Attribution Non-commercial No Derivatives.
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