Finite-Time Set Reachability of Probabilistic Boolean Multiplex Control Networks
This study focuses on the finite-time set reachability of probabilistic Boolean multiplex control networks (PBMCNs). Firstly, based on the state transfer graph (STG) reconstruction technique, the PBMCNs are extended to random logic dynamical systems. Then, a necessary and sufficient condition for th...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-01-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/12/2/883 |
| _version_ | 1797495976234057728 |
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| author | Yuxin Cui Shu Li Yunxiao Shan Fengqiu Liu |
| author_facet | Yuxin Cui Shu Li Yunxiao Shan Fengqiu Liu |
| author_sort | Yuxin Cui |
| collection | DOAJ |
| description | This study focuses on the finite-time set reachability of probabilistic Boolean multiplex control networks (PBMCNs). Firstly, based on the state transfer graph (STG) reconstruction technique, the PBMCNs are extended to random logic dynamical systems. Then, a necessary and sufficient condition for the finite-time set reachability of PBMCNs is obtained. Finally, the obtained results are effectively illustrated by an example. |
| first_indexed | 2024-03-10T01:57:07Z |
| format | Article |
| id | doaj.art-ae61a889f42a4c1d94ed924e6b5cf961 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T01:57:07Z |
| publishDate | 2022-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-ae61a889f42a4c1d94ed924e6b5cf9612023-11-23T12:54:34ZengMDPI AGApplied Sciences2076-34172022-01-0112288310.3390/app12020883Finite-Time Set Reachability of Probabilistic Boolean Multiplex Control NetworksYuxin Cui0Shu Li1Yunxiao Shan2Fengqiu Liu3School of Science, Harbin University of Science and Technology, Harbin 150080, ChinaSchool of Science, Harbin University of Science and Technology, Harbin 150080, ChinaSchool of Science, Harbin University of Science and Technology, Harbin 150080, ChinaSchool of Science, Ningbo University of Technology, Ningbo 315048, ChinaThis study focuses on the finite-time set reachability of probabilistic Boolean multiplex control networks (PBMCNs). Firstly, based on the state transfer graph (STG) reconstruction technique, the PBMCNs are extended to random logic dynamical systems. Then, a necessary and sufficient condition for the finite-time set reachability of PBMCNs is obtained. Finally, the obtained results are effectively illustrated by an example.https://www.mdpi.com/2076-3417/12/2/883finite-time set reachabilitysemi-tensor productstate transfer graphprobabilistic Boolean multiplex control networks |
| spellingShingle | Yuxin Cui Shu Li Yunxiao Shan Fengqiu Liu Finite-Time Set Reachability of Probabilistic Boolean Multiplex Control Networks Applied Sciences finite-time set reachability semi-tensor product state transfer graph probabilistic Boolean multiplex control networks |
| title | Finite-Time Set Reachability of Probabilistic Boolean Multiplex Control Networks |
| title_full | Finite-Time Set Reachability of Probabilistic Boolean Multiplex Control Networks |
| title_fullStr | Finite-Time Set Reachability of Probabilistic Boolean Multiplex Control Networks |
| title_full_unstemmed | Finite-Time Set Reachability of Probabilistic Boolean Multiplex Control Networks |
| title_short | Finite-Time Set Reachability of Probabilistic Boolean Multiplex Control Networks |
| title_sort | finite time set reachability of probabilistic boolean multiplex control networks |
| topic | finite-time set reachability semi-tensor product state transfer graph probabilistic Boolean multiplex control networks |
| url | https://www.mdpi.com/2076-3417/12/2/883 |
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