Feedback Finite-Time Stabilization of Impulsive Linear Systems over Piecewise Quadratic Domains
This paper investigates the state feedback stabilization problem for a class of impulsive linear time-varying systems over specified time intervals and piecewise quadratic domains (PQDs). First, concepts related to finite-time stability and PQDs are given. Second, finite-time stability analysis over...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
2021
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| Online Access: | http://purl.org/au-research/grants/arc/DP160102819 http://hdl.handle.net/20.500.11937/90936 |
| _version_ | 1848765465518669824 |
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| author | Huang, J. Li, J. Bu, Linshan Xu, Honglei |
| author_facet | Huang, J. Li, J. Bu, Linshan Xu, Honglei |
| author_sort | Huang, J. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper investigates the state feedback stabilization problem for a class of impulsive linear time-varying systems over specified time intervals and piecewise quadratic domains (PQDs). First, concepts related to finite-time stability and PQDs are given. Second, finite-time stability analysis over PQDs is implemented, and a variety of stability conditions involving differential linear matrix inequalities are investigated. Then, computationally tractable stability conditions are established for the control design. Finally, an illustrative example is presented to show the effectiveness of the designed state feedback control. |
| first_indexed | 2025-11-14T11:35:41Z |
| format | Journal Article |
| id | curtin-20.500.11937-90936 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T11:35:41Z |
| publishDate | 2021 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-909362023-05-08T07:57:11Z Feedback Finite-Time Stabilization of Impulsive Linear Systems over Piecewise Quadratic Domains Huang, J. Li, J. Bu, Linshan Xu, Honglei This paper investigates the state feedback stabilization problem for a class of impulsive linear time-varying systems over specified time intervals and piecewise quadratic domains (PQDs). First, concepts related to finite-time stability and PQDs are given. Second, finite-time stability analysis over PQDs is implemented, and a variety of stability conditions involving differential linear matrix inequalities are investigated. Then, computationally tractable stability conditions are established for the control design. Finally, an illustrative example is presented to show the effectiveness of the designed state feedback control. 2021 Journal Article http://hdl.handle.net/20.500.11937/90936 10.1155/2021/7651393 http://purl.org/au-research/grants/arc/DP160102819 unknown |
| spellingShingle | Huang, J. Li, J. Bu, Linshan Xu, Honglei Feedback Finite-Time Stabilization of Impulsive Linear Systems over Piecewise Quadratic Domains |
| title | Feedback Finite-Time Stabilization of Impulsive Linear Systems over Piecewise Quadratic Domains |
| title_full | Feedback Finite-Time Stabilization of Impulsive Linear Systems over Piecewise Quadratic Domains |
| title_fullStr | Feedback Finite-Time Stabilization of Impulsive Linear Systems over Piecewise Quadratic Domains |
| title_full_unstemmed | Feedback Finite-Time Stabilization of Impulsive Linear Systems over Piecewise Quadratic Domains |
| title_short | Feedback Finite-Time Stabilization of Impulsive Linear Systems over Piecewise Quadratic Domains |
| title_sort | feedback finite-time stabilization of impulsive linear systems over piecewise quadratic domains |
| url | http://purl.org/au-research/grants/arc/DP160102819 http://hdl.handle.net/20.500.11937/90936 |