Adaptive State-Feedback Stabilization for Stochastic Nonlinear Systems with Time-Varying Powers and Unknown Covariance
This paper investigates the adaptive state-feedback stabilization problem for stochastic nonlinear systems. Compared with the existing results, we consider more general and more practical systems, i.e., systems with time-varying powers and unknown covariance simultaneously. We propose a new adaptive...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-08-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/16/2873 |
| _version_ | 1827617768298512384 |
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| author | Jiabao Gu Hui Wang Wuquan Li Ben Niu |
| author_facet | Jiabao Gu Hui Wang Wuquan Li Ben Niu |
| author_sort | Jiabao Gu |
| collection | DOAJ |
| description | This paper investigates the adaptive state-feedback stabilization problem for stochastic nonlinear systems. Compared with the existing results, we consider more general and more practical systems, i.e., systems with time-varying powers and unknown covariance simultaneously. We propose a new adaptive state-feedback control method, which ensures that the closed-loop system is globally stable in probability and the states are regulated to the origin almost surely. Finally, the feasibility of the design method is verified by two examples. |
| first_indexed | 2024-03-09T09:52:38Z |
| format | Article |
| id | doaj.art-2e5f4b0b171e45d5a482253f1fd44797 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T09:52:38Z |
| publishDate | 2022-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-2e5f4b0b171e45d5a482253f1fd447972023-12-01T23:57:23ZengMDPI AGMathematics2227-73902022-08-011016287310.3390/math10162873Adaptive State-Feedback Stabilization for Stochastic Nonlinear Systems with Time-Varying Powers and Unknown CovarianceJiabao Gu0Hui Wang1Wuquan Li2Ben Niu3School of Mathematics and Statistics Science, Ludong University, Yantai 264025, ChinaSchool of Mathematics and Statistics Science, Ludong University, Yantai 264025, ChinaSchool of Mathematics and Statistics Science, Ludong University, Yantai 264025, ChinaSchool of Information Science and Engineering, Shandong Normal University, Jinan 250014, ChinaThis paper investigates the adaptive state-feedback stabilization problem for stochastic nonlinear systems. Compared with the existing results, we consider more general and more practical systems, i.e., systems with time-varying powers and unknown covariance simultaneously. We propose a new adaptive state-feedback control method, which ensures that the closed-loop system is globally stable in probability and the states are regulated to the origin almost surely. Finally, the feasibility of the design method is verified by two examples.https://www.mdpi.com/2227-7390/10/16/2873stochastic nonlinear systemsadaptive state-feedback stabilizationunknown covariance |
| spellingShingle | Jiabao Gu Hui Wang Wuquan Li Ben Niu Adaptive State-Feedback Stabilization for Stochastic Nonlinear Systems with Time-Varying Powers and Unknown Covariance Mathematics stochastic nonlinear systems adaptive state-feedback stabilization unknown covariance |
| title | Adaptive State-Feedback Stabilization for Stochastic Nonlinear Systems with Time-Varying Powers and Unknown Covariance |
| title_full | Adaptive State-Feedback Stabilization for Stochastic Nonlinear Systems with Time-Varying Powers and Unknown Covariance |
| title_fullStr | Adaptive State-Feedback Stabilization for Stochastic Nonlinear Systems with Time-Varying Powers and Unknown Covariance |
| title_full_unstemmed | Adaptive State-Feedback Stabilization for Stochastic Nonlinear Systems with Time-Varying Powers and Unknown Covariance |
| title_short | Adaptive State-Feedback Stabilization for Stochastic Nonlinear Systems with Time-Varying Powers and Unknown Covariance |
| title_sort | adaptive state feedback stabilization for stochastic nonlinear systems with time varying powers and unknown covariance |
| topic | stochastic nonlinear systems adaptive state-feedback stabilization unknown covariance |
| url | https://www.mdpi.com/2227-7390/10/16/2873 |
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