Synchronization of Multiplex Networks With Stochastic Perturbations via Intermittent Control
This paper investigates the synchronization problem for multiplex networks with the stochastic perturbations via intermittent control. In the control schemes, the topologies of different layers of multiplex networks can be different, the control strategy adopts aperiodically intermittent and pinning...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IEEE
2024-01-01
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| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/10494750/ |
| _version_ | 1797197356745097216 |
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| author | Yi Liang Huiling Wang Yunyun Deng Chuan Zhang |
| author_facet | Yi Liang Huiling Wang Yunyun Deng Chuan Zhang |
| author_sort | Yi Liang |
| collection | DOAJ |
| description | This paper investigates the synchronization problem for multiplex networks with the stochastic perturbations via intermittent control. In the control schemes, the topologies of different layers of multiplex networks can be different, the control strategy adopts aperiodically intermittent and pinning control methods, and the number of pinned nodes can be different in different layers. Based on the stochastic theory and the Lyapunov stability theory, linear feedback and adaptive controllers are constructed respectively, some sufficient conditions are derived for guaranteeing synchronization of multiplex networks. Furthermore, for the different connectivity of multiplex networks, the conditions for achieving synchronization are discussed. Finally, two numerical simulations are provided to verify the theoretical results. |
| first_indexed | 2024-04-24T06:42:40Z |
| format | Article |
| id | doaj.art-db03998f7efb4cbb8665ab43f4a3083a |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-04-24T06:42:40Z |
| publishDate | 2024-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-db03998f7efb4cbb8665ab43f4a3083a2024-04-22T23:00:24ZengIEEEIEEE Access2169-35362024-01-0112544715448010.1109/ACCESS.2024.338619110494750Synchronization of Multiplex Networks With Stochastic Perturbations via Intermittent ControlYi Liang0Huiling Wang1Yunyun Deng2Chuan Zhang3https://orcid.org/0000-0003-0564-9434School of Network Security and Information Technology, Yili Normal University, Yining, ChinaSchool of Network Security and Information Technology, Yili Normal University, Yining, ChinaSchool of Network Security and Information Technology, Yili Normal University, Yining, ChinaSchool of Mathematical Science, Qufu Normal University, Qufu, ChinaThis paper investigates the synchronization problem for multiplex networks with the stochastic perturbations via intermittent control. In the control schemes, the topologies of different layers of multiplex networks can be different, the control strategy adopts aperiodically intermittent and pinning control methods, and the number of pinned nodes can be different in different layers. Based on the stochastic theory and the Lyapunov stability theory, linear feedback and adaptive controllers are constructed respectively, some sufficient conditions are derived for guaranteeing synchronization of multiplex networks. Furthermore, for the different connectivity of multiplex networks, the conditions for achieving synchronization are discussed. Finally, two numerical simulations are provided to verify the theoretical results.https://ieeexplore.ieee.org/document/10494750/Multiplex networkssynchronizationstochastic perturbationsintermittent control |
| spellingShingle | Yi Liang Huiling Wang Yunyun Deng Chuan Zhang Synchronization of Multiplex Networks With Stochastic Perturbations via Intermittent Control IEEE Access Multiplex networks synchronization stochastic perturbations intermittent control |
| title | Synchronization of Multiplex Networks With Stochastic Perturbations via Intermittent Control |
| title_full | Synchronization of Multiplex Networks With Stochastic Perturbations via Intermittent Control |
| title_fullStr | Synchronization of Multiplex Networks With Stochastic Perturbations via Intermittent Control |
| title_full_unstemmed | Synchronization of Multiplex Networks With Stochastic Perturbations via Intermittent Control |
| title_short | Synchronization of Multiplex Networks With Stochastic Perturbations via Intermittent Control |
| title_sort | synchronization of multiplex networks with stochastic perturbations via intermittent control |
| topic | Multiplex networks synchronization stochastic perturbations intermittent control |
| url | https://ieeexplore.ieee.org/document/10494750/ |
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