Necessary and sufficient condition for robust stability of discrete-time descriptor polytopic systems
This study investigates the robust stability of discrete-time descriptor polytopic systems. Necessary and sufficient conditions for robust stability expressed as parameterised linear matrix inequalities (LMIs) are obtained. Furthermore, the parameterised LMIs are reduced to parameter-independent and...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
Stuart Govan, Institution of Engineering and Technology
2011
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| Online Access: | http://hdl.handle.net/20.500.11937/15033 |
| _version_ | 1848748785036951552 |
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| author | Gao, X. Teo, Kok Lay Duan, G. Zhang, X. |
| author_facet | Gao, X. Teo, Kok Lay Duan, G. Zhang, X. |
| author_sort | Gao, X. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This study investigates the robust stability of discrete-time descriptor polytopic systems. Necessary and sufficient conditions for robust stability expressed as parameterised linear matrix inequalities (LMIs) are obtained. Furthermore, the parameterised LMIs are reduced to parameter-independent and finite-dimensional LMIs. Finally, two numerical examples are given, illustrating the effectiveness of the proposed method. |
| first_indexed | 2025-11-14T07:10:33Z |
| format | Journal Article |
| id | curtin-20.500.11937-15033 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:10:33Z |
| publishDate | 2011 |
| publisher | Stuart Govan, Institution of Engineering and Technology |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-150332017-09-13T16:07:46Z Necessary and sufficient condition for robust stability of discrete-time descriptor polytopic systems Gao, X. Teo, Kok Lay Duan, G. Zhang, X. This study investigates the robust stability of discrete-time descriptor polytopic systems. Necessary and sufficient conditions for robust stability expressed as parameterised linear matrix inequalities (LMIs) are obtained. Furthermore, the parameterised LMIs are reduced to parameter-independent and finite-dimensional LMIs. Finally, two numerical examples are given, illustrating the effectiveness of the proposed method. 2011 Journal Article http://hdl.handle.net/20.500.11937/15033 10.1049/iet-cta.2010.0145 Stuart Govan, Institution of Engineering and Technology restricted |
| spellingShingle | Gao, X. Teo, Kok Lay Duan, G. Zhang, X. Necessary and sufficient condition for robust stability of discrete-time descriptor polytopic systems |
| title | Necessary and sufficient condition for robust stability of discrete-time descriptor polytopic systems |
| title_full | Necessary and sufficient condition for robust stability of discrete-time descriptor polytopic systems |
| title_fullStr | Necessary and sufficient condition for robust stability of discrete-time descriptor polytopic systems |
| title_full_unstemmed | Necessary and sufficient condition for robust stability of discrete-time descriptor polytopic systems |
| title_short | Necessary and sufficient condition for robust stability of discrete-time descriptor polytopic systems |
| title_sort | necessary and sufficient condition for robust stability of discrete-time descriptor polytopic systems |
| url | http://hdl.handle.net/20.500.11937/15033 |