Linear Algebra Methods for the Control of Multidimensional Systems
The purpose of the thesis is to develop a comprehensive theory of the geometric control for N-dimensional systems. Two possible representations and their structural invariance properties of 2-D systems will be considered and generalised to the N-dimensional case: the Fornasini-Marchesini first order...
| Main Author: | |
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| Format: | Thesis |
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Curtin University
2018
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| Online Access: | http://hdl.handle.net/20.500.11937/76047 |
| _version_ | 1848763612640837632 |
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| author | Mohamed, Fatma H Sh |
| author_facet | Mohamed, Fatma H Sh |
| author_sort | Mohamed, Fatma H Sh |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | The purpose of the thesis is to develop a comprehensive theory of the geometric control for N-dimensional systems. Two possible representations and their structural invariance properties of 2-D systems will be considered and generalised to the N-dimensional case: the Fornasini-Marchesini first order model and Fornasini-Marchesini second order model. In addition, necessary and sufficient conditions for the existence of solutions for the implicit 2-D Fornasini-Marchesini models will be provided, and generalised to the N-dimensional case. |
| first_indexed | 2025-11-14T11:06:14Z |
| format | Thesis |
| id | curtin-20.500.11937-76047 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T11:06:14Z |
| publishDate | 2018 |
| publisher | Curtin University |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-760472019-07-25T03:27:59Z Linear Algebra Methods for the Control of Multidimensional Systems Mohamed, Fatma H Sh The purpose of the thesis is to develop a comprehensive theory of the geometric control for N-dimensional systems. Two possible representations and their structural invariance properties of 2-D systems will be considered and generalised to the N-dimensional case: the Fornasini-Marchesini first order model and Fornasini-Marchesini second order model. In addition, necessary and sufficient conditions for the existence of solutions for the implicit 2-D Fornasini-Marchesini models will be provided, and generalised to the N-dimensional case. 2018 Thesis http://hdl.handle.net/20.500.11937/76047 Curtin University fulltext |
| spellingShingle | Mohamed, Fatma H Sh Linear Algebra Methods for the Control of Multidimensional Systems |
| title | Linear Algebra Methods for the Control of Multidimensional Systems |
| title_full | Linear Algebra Methods for the Control of Multidimensional Systems |
| title_fullStr | Linear Algebra Methods for the Control of Multidimensional Systems |
| title_full_unstemmed | Linear Algebra Methods for the Control of Multidimensional Systems |
| title_short | Linear Algebra Methods for the Control of Multidimensional Systems |
| title_sort | linear algebra methods for the control of multidimensional systems |
| url | http://hdl.handle.net/20.500.11937/76047 |