Periodic Stabilization of Continuous-Time Multi-Module Impulsive Switched Linear Systems
This paper mainly investigates periodic stabilization issue for a class of multi-module impulsive switched linear systems. It is proven that the considered system is exponentially stabilizable if there exists a periodic control Lyapunov function whose value decreases periodically rather than at each...
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| Format: | Article |
| Language: | English |
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IEEE
2019-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/8604052/ |
| _version_ | 1818323343343878144 |
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| author | Menglong Cao Zidong Ai |
| author_facet | Menglong Cao Zidong Ai |
| author_sort | Menglong Cao |
| collection | DOAJ |
| description | This paper mainly investigates periodic stabilization issue for a class of multi-module impulsive switched linear systems. It is proven that the considered system is exponentially stabilizable if there exists a periodic control Lyapunov function whose value decreases periodically rather than at each time instant. A Lyapunov converse theorem is also presented. In particular, a constructive method is used to determine stabilizable impulsive switching law. Moreover, the relaxed set is introduced to reduce the computational complexity, and relaxed versions of Lyapunov theorem and its converse theorem are established. Finally, a numerical example is provided to illustrate the effectiveness of the approach. |
| first_indexed | 2024-12-13T11:11:11Z |
| format | Article |
| id | doaj.art-397e697f5eba4e1792654998ff20700c |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-13T11:11:11Z |
| publishDate | 2019-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-397e697f5eba4e1792654998ff20700c2022-12-21T23:48:44ZengIEEEIEEE Access2169-35362019-01-017166481665410.1109/ACCESS.2019.28913448604052Periodic Stabilization of Continuous-Time Multi-Module Impulsive Switched Linear SystemsMenglong Cao0Zidong Ai1https://orcid.org/0000-0002-6718-6706College of Automation and Electronic Engineering, Qingdao University of Science and Technology, Qingdao, ChinaCollege of Automation and Electronic Engineering, Qingdao University of Science and Technology, Qingdao, ChinaThis paper mainly investigates periodic stabilization issue for a class of multi-module impulsive switched linear systems. It is proven that the considered system is exponentially stabilizable if there exists a periodic control Lyapunov function whose value decreases periodically rather than at each time instant. A Lyapunov converse theorem is also presented. In particular, a constructive method is used to determine stabilizable impulsive switching law. Moreover, the relaxed set is introduced to reduce the computational complexity, and relaxed versions of Lyapunov theorem and its converse theorem are established. Finally, a numerical example is provided to illustrate the effectiveness of the approach.https://ieeexplore.ieee.org/document/8604052/Switched systemsperiodic stabilizationmulti-module impulseLyapunov function |
| spellingShingle | Menglong Cao Zidong Ai Periodic Stabilization of Continuous-Time Multi-Module Impulsive Switched Linear Systems IEEE Access Switched systems periodic stabilization multi-module impulse Lyapunov function |
| title | Periodic Stabilization of Continuous-Time Multi-Module Impulsive Switched Linear Systems |
| title_full | Periodic Stabilization of Continuous-Time Multi-Module Impulsive Switched Linear Systems |
| title_fullStr | Periodic Stabilization of Continuous-Time Multi-Module Impulsive Switched Linear Systems |
| title_full_unstemmed | Periodic Stabilization of Continuous-Time Multi-Module Impulsive Switched Linear Systems |
| title_short | Periodic Stabilization of Continuous-Time Multi-Module Impulsive Switched Linear Systems |
| title_sort | periodic stabilization of continuous time multi module impulsive switched linear systems |
| topic | Switched systems periodic stabilization multi-module impulse Lyapunov function |
| url | https://ieeexplore.ieee.org/document/8604052/ |
| work_keys_str_mv | AT menglongcao periodicstabilizationofcontinuoustimemultimoduleimpulsiveswitchedlinearsystems AT zidongai periodicstabilizationofcontinuoustimemultimoduleimpulsiveswitchedlinearsystems |