Lyapunov-based fixed-time stabilization control of quantum systems
In this paper, we consider the fixed-time stabilization control problem of quantum systems modeled by Schrödinger equations. Firstly, the Lyapunov-based fixed-time stability criterion is extended to finite-dimensional closed quantum systems in the form of coherence vectors. Then for a two-level quan...
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| Format: | Article |
| Language: | English |
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KeAi Communications Co., Ltd.
2022-12-01
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| Series: | Journal of Automation and Intelligence |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2949855422000053 |
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| author | Xiaolei Li Changyun Wen Jiange Wang |
| author_facet | Xiaolei Li Changyun Wen Jiange Wang |
| author_sort | Xiaolei Li |
| collection | DOAJ |
| description | In this paper, we consider the fixed-time stabilization control problem of quantum systems modeled by Schrödinger equations. Firstly, the Lyapunov-based fixed-time stability criterion is extended to finite-dimensional closed quantum systems in the form of coherence vectors. Then for a two-level quantum system with single control input, a non-smooth fractional-order control law is designed using the relative state distance. By integrating the fixed-time Lyapunov control technique and the bi-limit homogeneity theory, the quantum system is proved to be stabilized to an eigenstate of the inherent Hamiltonian in a fixed time. Comparing with existing methods in quantum system control, the proposed approach can guarantee stabilization in a fixed time without depending on the initial states. |
| format | Article |
| id | doaj-art-13f779d24cf04b329ff47ec46f0b60f3 |
| institution | DOAJ |
| issn | 2949-8554 |
| language | English |
| publishDate | 2022-12-01 |
| publisher | KeAi Communications Co., Ltd. |
| record_format | Article |
| series | Journal of Automation and Intelligence |
| spelling | doaj-art-13f779d24cf04b329ff47ec46f0b60f32025-08-20T02:51:38ZengKeAi Communications Co., Ltd.Journal of Automation and Intelligence2949-85542022-12-011110000510.1016/j.jai.2022.100005Lyapunov-based fixed-time stabilization control of quantum systemsXiaolei Li0Changyun Wen1Jiange Wang2School of Electrical Engineering, Yanshan University, Qinhuangdao, 066004, China; Corresponding author.School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore, 639798, SingaporeSchool of Electrical Engineering, Yanshan University, Qinhuangdao, 066004, ChinaIn this paper, we consider the fixed-time stabilization control problem of quantum systems modeled by Schrödinger equations. Firstly, the Lyapunov-based fixed-time stability criterion is extended to finite-dimensional closed quantum systems in the form of coherence vectors. Then for a two-level quantum system with single control input, a non-smooth fractional-order control law is designed using the relative state distance. By integrating the fixed-time Lyapunov control technique and the bi-limit homogeneity theory, the quantum system is proved to be stabilized to an eigenstate of the inherent Hamiltonian in a fixed time. Comparing with existing methods in quantum system control, the proposed approach can guarantee stabilization in a fixed time without depending on the initial states.http://www.sciencedirect.com/science/article/pii/S2949855422000053Quantum systemLyapunov stabilityFixed-time control |
| spellingShingle | Xiaolei Li Changyun Wen Jiange Wang Lyapunov-based fixed-time stabilization control of quantum systems Journal of Automation and Intelligence Quantum system Lyapunov stability Fixed-time control |
| title | Lyapunov-based fixed-time stabilization control of quantum systems |
| title_full | Lyapunov-based fixed-time stabilization control of quantum systems |
| title_fullStr | Lyapunov-based fixed-time stabilization control of quantum systems |
| title_full_unstemmed | Lyapunov-based fixed-time stabilization control of quantum systems |
| title_short | Lyapunov-based fixed-time stabilization control of quantum systems |
| title_sort | lyapunov based fixed time stabilization control of quantum systems |
| topic | Quantum system Lyapunov stability Fixed-time control |
| url | http://www.sciencedirect.com/science/article/pii/S2949855422000053 |
| work_keys_str_mv | AT xiaoleili lyapunovbasedfixedtimestabilizationcontrolofquantumsystems AT changyunwen lyapunovbasedfixedtimestabilizationcontrolofquantumsystems AT jiangewang lyapunovbasedfixedtimestabilizationcontrolofquantumsystems |