Stabilization of Periodical Discrete Feedback Control for Markov Jumping Stochastic Systems
Motivated by the two strategies of intermittent control and discrete feedback control, this paper aims to introduce a periodically intermittent discrete feedback control in the drift part to stabilize an unstable Markov jumping stochastic differential system. It is illustrated that, by the approach...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-12-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/13/12/2447 |
| _version_ | 1797500325724160000 |
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| author | Zhiyou Liu Lichao Feng Xinbin Li Zhigang Lu Xianhui Meng |
| author_facet | Zhiyou Liu Lichao Feng Xinbin Li Zhigang Lu Xianhui Meng |
| author_sort | Zhiyou Liu |
| collection | DOAJ |
| description | Motivated by the two strategies of intermittent control and discrete feedback control, this paper aims to introduce a periodically intermittent discrete feedback control in the drift part to stabilize an unstable Markov jumping stochastic differential system. It is illustrated that, by the approach of comparison principle, this can be achieved in the sense of almost sure exponential stability. Further, the stabilization theory is applied to Markov jumping stochastic recurrent neural networks. |
| first_indexed | 2024-03-10T03:00:18Z |
| format | Article |
| id | doaj.art-b68beab1be5a4f8183d87f5031cd1673 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T03:00:18Z |
| publishDate | 2021-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-b68beab1be5a4f8183d87f5031cd16732023-11-23T10:47:23ZengMDPI AGSymmetry2073-89942021-12-011312244710.3390/sym13122447Stabilization of Periodical Discrete Feedback Control for Markov Jumping Stochastic SystemsZhiyou Liu0Lichao Feng1Xinbin Li2Zhigang Lu3Xianhui Meng4Key Lab of Power Electronics for Energy Conservation and Motor Drive of Hebei Province, Department of Electrical Engineering, Yanshan University, Qinhuangdao 066004, ChinaCollege of Science, North China University of Science and Technology, Tangshan 063000, ChinaKey Lab of Power Electronics for Energy Conservation and Motor Drive of Hebei Province, Department of Electrical Engineering, Yanshan University, Qinhuangdao 066004, ChinaKey Lab of Power Electronics for Energy Conservation and Motor Drive of Hebei Province, Department of Electrical Engineering, Yanshan University, Qinhuangdao 066004, ChinaKey Lab of Power Electronics for Energy Conservation and Motor Drive of Hebei Province, Department of Electrical Engineering, Yanshan University, Qinhuangdao 066004, ChinaMotivated by the two strategies of intermittent control and discrete feedback control, this paper aims to introduce a periodically intermittent discrete feedback control in the drift part to stabilize an unstable Markov jumping stochastic differential system. It is illustrated that, by the approach of comparison principle, this can be achieved in the sense of almost sure exponential stability. Further, the stabilization theory is applied to Markov jumping stochastic recurrent neural networks.https://www.mdpi.com/2073-8994/13/12/2447discrete feedback controlperiodically intermittent controlexponential stabilizationMarkov jumping stochastic systems |
| spellingShingle | Zhiyou Liu Lichao Feng Xinbin Li Zhigang Lu Xianhui Meng Stabilization of Periodical Discrete Feedback Control for Markov Jumping Stochastic Systems Symmetry discrete feedback control periodically intermittent control exponential stabilization Markov jumping stochastic systems |
| title | Stabilization of Periodical Discrete Feedback Control for Markov Jumping Stochastic Systems |
| title_full | Stabilization of Periodical Discrete Feedback Control for Markov Jumping Stochastic Systems |
| title_fullStr | Stabilization of Periodical Discrete Feedback Control for Markov Jumping Stochastic Systems |
| title_full_unstemmed | Stabilization of Periodical Discrete Feedback Control for Markov Jumping Stochastic Systems |
| title_short | Stabilization of Periodical Discrete Feedback Control for Markov Jumping Stochastic Systems |
| title_sort | stabilization of periodical discrete feedback control for markov jumping stochastic systems |
| topic | discrete feedback control periodically intermittent control exponential stabilization Markov jumping stochastic systems |
| url | https://www.mdpi.com/2073-8994/13/12/2447 |
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