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...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/7651393 |
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| _version_ | 1832561550111539200 |
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| author | Jing Huang Jianxing Li Linshan Bu Honglei Xu |
| author_facet | Jing Huang Jianxing Li Linshan Bu Honglei Xu |
| author_sort | Jing Huang |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-21e31c6e9b8d48a58293ab1117616720 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-21e31c6e9b8d48a58293ab11176167202025-02-03T01:24:47ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/76513937651393Feedback Finite-Time Stabilization of Impulsive Linear Systems over Piecewise Quadratic DomainsJing Huang0Jianxing Li1Linshan Bu2Honglei Xu3School of Information Science and Engineering, Fujian University of Technology, Fuzhou, Fujian 350118, ChinaSchool of Information Science and Engineering, Fujian University of Technology, Fuzhou, Fujian 350118, ChinaSchool of Electrical Engineering, Computing and Mathematical Sciences, Curtin University, Perth, Western Australia 6845, AustraliaSchool of Electrical Engineering, Computing and Mathematical Sciences, Curtin University, Perth, Western Australia 6845, AustraliaThis 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.http://dx.doi.org/10.1155/2021/7651393 |
| spellingShingle | Jing Huang Jianxing Li Linshan Bu Honglei Xu Feedback Finite-Time Stabilization of Impulsive Linear Systems over Piecewise Quadratic Domains Complexity |
| 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://dx.doi.org/10.1155/2021/7651393 |
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