Robust Stabilization of Impulsive Boolean Control Networks with Function Perturbation
This paper studies the robust stabilization of impulsive Boolean control networks (IBCNs) with function perturbation. A Boolean control network (BCN) with a state-dependent impulsive sequence is converted to an equivalent BCN by the semi-tensor product method. Based on the equivalence of stabilizati...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-10-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/21/4029 |
| _version_ | 1797467373886767104 |
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| author | Qilong Sun Haitao Li |
| author_facet | Qilong Sun Haitao Li |
| author_sort | Qilong Sun |
| collection | DOAJ |
| description | This paper studies the robust stabilization of impulsive Boolean control networks (IBCNs) with function perturbation. A Boolean control network (BCN) with a state-dependent impulsive sequence is converted to an equivalent BCN by the semi-tensor product method. Based on the equivalence of stabilization between the IBCN and the corresponding BCN, several criteria are proposed for the robust stabilization of IBCNs. Furthermore, when the IBCN is not robustly stabilizable after the function perturbation, an algorithm is presented to modify the control or the impulse-triggered set. Finally, an example is given to verify the obtained results. |
| first_indexed | 2024-03-09T18:51:45Z |
| format | Article |
| id | doaj.art-45a46def869747399517d5e2126213d6 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T18:51:45Z |
| publishDate | 2022-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-45a46def869747399517d5e2126213d62023-11-24T05:43:48ZengMDPI AGMathematics2227-73902022-10-011021402910.3390/math10214029Robust Stabilization of Impulsive Boolean Control Networks with Function PerturbationQilong Sun0Haitao Li1School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, ChinaSchool of Mathematics and Statistics, Shandong Normal University, Jinan 250014, ChinaThis paper studies the robust stabilization of impulsive Boolean control networks (IBCNs) with function perturbation. A Boolean control network (BCN) with a state-dependent impulsive sequence is converted to an equivalent BCN by the semi-tensor product method. Based on the equivalence of stabilization between the IBCN and the corresponding BCN, several criteria are proposed for the robust stabilization of IBCNs. Furthermore, when the IBCN is not robustly stabilizable after the function perturbation, an algorithm is presented to modify the control or the impulse-triggered set. Finally, an example is given to verify the obtained results.https://www.mdpi.com/2227-7390/10/21/4029impulsive Boolean control networksrobust stabilizationfunction perturbationsemi-tensor product of matrices |
| spellingShingle | Qilong Sun Haitao Li Robust Stabilization of Impulsive Boolean Control Networks with Function Perturbation Mathematics impulsive Boolean control networks robust stabilization function perturbation semi-tensor product of matrices |
| title | Robust Stabilization of Impulsive Boolean Control Networks with Function Perturbation |
| title_full | Robust Stabilization of Impulsive Boolean Control Networks with Function Perturbation |
| title_fullStr | Robust Stabilization of Impulsive Boolean Control Networks with Function Perturbation |
| title_full_unstemmed | Robust Stabilization of Impulsive Boolean Control Networks with Function Perturbation |
| title_short | Robust Stabilization of Impulsive Boolean Control Networks with Function Perturbation |
| title_sort | robust stabilization of impulsive boolean control networks with function perturbation |
| topic | impulsive Boolean control networks robust stabilization function perturbation semi-tensor product of matrices |
| url | https://www.mdpi.com/2227-7390/10/21/4029 |
| work_keys_str_mv | AT qilongsun robuststabilizationofimpulsivebooleancontrolnetworkswithfunctionperturbation AT haitaoli robuststabilizationofimpulsivebooleancontrolnetworkswithfunctionperturbation |