A new looped-functional for stability analysis of sampled-data systems
In this paper, a new two-sided looped-functional is introduced for stability analysis of sampled-data systems. The functional fully utilizes the information on both the intervals x(t) to x(tk) and x(t) to x(tk+1). Based on the two-sided functional, an improved stability condition is derived in the f...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
Pergamon Press
2016
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| Online Access: | http://hdl.handle.net/20.500.11937/53143 |
| _version_ | 1848759075565731840 |
|---|---|
| author | Zeng, H. Teo, Kok Lay He, Y. |
| author_facet | Zeng, H. Teo, Kok Lay He, Y. |
| author_sort | Zeng, H. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, a new two-sided looped-functional is introduced for stability analysis of sampled-data systems. The functional fully utilizes the information on both the intervals x(t) to x(tk) and x(t) to x(tk+1). Based on the two-sided functional, an improved stability condition is derived in the form of linear matrix inequality (LMI). Numerical examples show that the result computed by the presented condition approximates nearly the theoretical bound (bound obtained by eigenvalue analysis) and outperforms substantially others in the existing literature. |
| first_indexed | 2025-11-14T09:54:07Z |
| format | Journal Article |
| id | curtin-20.500.11937-53143 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:54:07Z |
| publishDate | 2016 |
| publisher | Pergamon Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-531432017-10-17T05:23:57Z A new looped-functional for stability analysis of sampled-data systems Zeng, H. Teo, Kok Lay He, Y. In this paper, a new two-sided looped-functional is introduced for stability analysis of sampled-data systems. The functional fully utilizes the information on both the intervals x(t) to x(tk) and x(t) to x(tk+1). Based on the two-sided functional, an improved stability condition is derived in the form of linear matrix inequality (LMI). Numerical examples show that the result computed by the presented condition approximates nearly the theoretical bound (bound obtained by eigenvalue analysis) and outperforms substantially others in the existing literature. 2016 Journal Article http://hdl.handle.net/20.500.11937/53143 10.1016/j.automatica.2017.04.051 Pergamon Press restricted |
| spellingShingle | Zeng, H. Teo, Kok Lay He, Y. A new looped-functional for stability analysis of sampled-data systems |
| title | A new looped-functional for stability analysis of sampled-data systems |
| title_full | A new looped-functional for stability analysis of sampled-data systems |
| title_fullStr | A new looped-functional for stability analysis of sampled-data systems |
| title_full_unstemmed | A new looped-functional for stability analysis of sampled-data systems |
| title_short | A new looped-functional for stability analysis of sampled-data systems |
| title_sort | new looped-functional for stability analysis of sampled-data systems |
| url | http://hdl.handle.net/20.500.11937/53143 |