Robust Stability and Stabilisation of Delayed Boolean Networks With Disturbance
In this paper, we study a type of delayed Boolean networks(DBNs) which are affected by disturbances. We study the stability problems of this kind of DBNs based on algebraic form, which can be constructed by the semi-tensor product(STP) method. Firstly, the robust stability of DBNs without control is...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IEEE
2020-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/9184050/ |
| _version_ | 1811210511219425280 |
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| author | Chunfeng Jiang Shihua Fu Jianli Zhao |
| author_facet | Chunfeng Jiang Shihua Fu Jianli Zhao |
| author_sort | Chunfeng Jiang |
| collection | DOAJ |
| description | In this paper, we study a type of delayed Boolean networks(DBNs) which are affected by disturbances. We study the stability problems of this kind of DBNs based on algebraic form, which can be constructed by the semi-tensor product(STP) method. Firstly, the robust stability of DBNs without control is investigated, and the decision condition for robust stability is derived. Then, the robust stabilisation and control design problems are considered. Based on the algebraic representation of the delayed Boolean control networks(DBCNs), a necessary and sufficient condition is established to judge the robust stabilisation of the system, moreover, a state feedback control is also designed to robustly stabilize the DBCNs. Finally, we give an example to support our new results. |
| first_indexed | 2024-04-12T04:55:48Z |
| format | Article |
| id | doaj.art-7956059ada1c4672b76a6c80fd6185df |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-04-12T04:55:48Z |
| publishDate | 2020-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-7956059ada1c4672b76a6c80fd6185df2022-12-22T03:47:07ZengIEEEIEEE Access2169-35362020-01-01815947115947810.1109/ACCESS.2020.30210209184050Robust Stability and Stabilisation of Delayed Boolean Networks With DisturbanceChunfeng Jiang0https://orcid.org/0000-0003-3704-0148Shihua Fu1Jianli Zhao2School of Mathematical Science, Liaocheng University, Liaocheng, ChinaSchool of Mathematical Science, Liaocheng University, Liaocheng, ChinaSchool of Mathematical Science, Liaocheng University, Liaocheng, ChinaIn this paper, we study a type of delayed Boolean networks(DBNs) which are affected by disturbances. We study the stability problems of this kind of DBNs based on algebraic form, which can be constructed by the semi-tensor product(STP) method. Firstly, the robust stability of DBNs without control is investigated, and the decision condition for robust stability is derived. Then, the robust stabilisation and control design problems are considered. Based on the algebraic representation of the delayed Boolean control networks(DBCNs), a necessary and sufficient condition is established to judge the robust stabilisation of the system, moreover, a state feedback control is also designed to robustly stabilize the DBCNs. Finally, we give an example to support our new results.https://ieeexplore.ieee.org/document/9184050/DBNsrobust stabilityrobust stabilisationdisturbance inputsSTP |
| spellingShingle | Chunfeng Jiang Shihua Fu Jianli Zhao Robust Stability and Stabilisation of Delayed Boolean Networks With Disturbance IEEE Access DBNs robust stability robust stabilisation disturbance inputs STP |
| title | Robust Stability and Stabilisation of Delayed Boolean Networks With Disturbance |
| title_full | Robust Stability and Stabilisation of Delayed Boolean Networks With Disturbance |
| title_fullStr | Robust Stability and Stabilisation of Delayed Boolean Networks With Disturbance |
| title_full_unstemmed | Robust Stability and Stabilisation of Delayed Boolean Networks With Disturbance |
| title_short | Robust Stability and Stabilisation of Delayed Boolean Networks With Disturbance |
| title_sort | robust stability and stabilisation of delayed boolean networks with disturbance |
| topic | DBNs robust stability robust stabilisation disturbance inputs STP |
| url | https://ieeexplore.ieee.org/document/9184050/ |
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