Finite-time energy-to-peak control for Markov jump systems with pure time delays
This study investigates finite-time energy-to-peak control for pure-time-delay Markov jump systems. The main objective is to obtain some theorems such that the corresponding pure-time-delay Markov jump systems are finite time energy-to-peak stable or stabilizable. First, based on mathematical transf...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SAGE Publishing
2022-07-01
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| Series: | Measurement + Control |
| Online Access: | https://doi.org/10.1177/00202940221104866 |
| _version_ | 1811203904223838208 |
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| author | Falu Weng Yuqing Zeng Zhongan Yu Yuanchun Ding Huan Wang |
| author_facet | Falu Weng Yuqing Zeng Zhongan Yu Yuanchun Ding Huan Wang |
| author_sort | Falu Weng |
| collection | DOAJ |
| description | This study investigates finite-time energy-to-peak control for pure-time-delay Markov jump systems. The main objective is to obtain some theorems such that the corresponding pure-time-delay Markov jump systems are finite time energy-to-peak stable or stabilizable. First, based on mathematical transformation, the pure-time-delay Markov jump systems are described in a model description that includes the current system state and several distributed time-delay items. Second, according to linear matrix inequality (LMI) theory, a positive energy functional is constructed, which includes a triple integral item. Then, after some mathematical operations, some sufficient conditions are obtained for Markov jump systems to be finite-time energy-to-peak stable or stabilizable. The obtained results are expressed in LMIs, which can be conveniently solved by computers. Finally, examples are given to show the usefulness of the obtained theorems. |
| first_indexed | 2024-04-12T03:02:47Z |
| format | Article |
| id | doaj.art-50a6d0284d794ed6adcf0360d81f6f39 |
| institution | Directory Open Access Journal |
| issn | 0020-2940 |
| language | English |
| last_indexed | 2024-04-12T03:02:47Z |
| publishDate | 2022-07-01 |
| publisher | SAGE Publishing |
| record_format | Article |
| series | Measurement + Control |
| spelling | doaj.art-50a6d0284d794ed6adcf0360d81f6f392022-12-22T03:50:35ZengSAGE PublishingMeasurement + Control0020-29402022-07-015510.1177/00202940221104866Finite-time energy-to-peak control for Markov jump systems with pure time delaysFalu Weng0Yuqing Zeng1Zhongan Yu2Yuanchun Ding3Huan Wang4Faculty of Electrical Engineering and Automation, Jiangxi University of Science and Technology, Ganzhou, Jiangxi, ChinaFaculty of Electrical Engineering and Automation, Jiangxi University of Science and Technology, Ganzhou, Jiangxi, ChinaFaculty of Electrical Engineering and Automation, Jiangxi University of Science and Technology, Ganzhou, Jiangxi, ChinaSchool of Resources and Environmental Engineering, Jiangxi University of Science and Technology, Ganzhou, Jiangxi, ChinaFaculty of Electrical Engineering and Automation, Jiangxi University of Science and Technology, Ganzhou, Jiangxi, ChinaThis study investigates finite-time energy-to-peak control for pure-time-delay Markov jump systems. The main objective is to obtain some theorems such that the corresponding pure-time-delay Markov jump systems are finite time energy-to-peak stable or stabilizable. First, based on mathematical transformation, the pure-time-delay Markov jump systems are described in a model description that includes the current system state and several distributed time-delay items. Second, according to linear matrix inequality (LMI) theory, a positive energy functional is constructed, which includes a triple integral item. Then, after some mathematical operations, some sufficient conditions are obtained for Markov jump systems to be finite-time energy-to-peak stable or stabilizable. The obtained results are expressed in LMIs, which can be conveniently solved by computers. Finally, examples are given to show the usefulness of the obtained theorems.https://doi.org/10.1177/00202940221104866 |
| spellingShingle | Falu Weng Yuqing Zeng Zhongan Yu Yuanchun Ding Huan Wang Finite-time energy-to-peak control for Markov jump systems with pure time delays Measurement + Control |
| title | Finite-time energy-to-peak control for Markov jump systems with pure time delays |
| title_full | Finite-time energy-to-peak control for Markov jump systems with pure time delays |
| title_fullStr | Finite-time energy-to-peak control for Markov jump systems with pure time delays |
| title_full_unstemmed | Finite-time energy-to-peak control for Markov jump systems with pure time delays |
| title_short | Finite-time energy-to-peak control for Markov jump systems with pure time delays |
| title_sort | finite time energy to peak control for markov jump systems with pure time delays |
| url | https://doi.org/10.1177/00202940221104866 |
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