Adaptive Quantized Synchronization of Fractional-Order Output-Coupling Multiplex Networks
This paper is devoted to investigating the synchronization of fractional-order output-coupling multiplex networks (FOOCMNs). Firstly, a type of fractional-order multiplex network is introduced, where the intra-layer coupling and the inter-layer coupling are described separately, and nodes communicat...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-12-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/7/1/22 |
| _version_ | 1797442317936754688 |
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| author | Yunzhan Bai Juan Yu Cheng Hu |
| author_facet | Yunzhan Bai Juan Yu Cheng Hu |
| author_sort | Yunzhan Bai |
| collection | DOAJ |
| description | This paper is devoted to investigating the synchronization of fractional-order output-coupling multiplex networks (FOOCMNs). Firstly, a type of fractional-order multiplex network is introduced, where the intra-layer coupling and the inter-layer coupling are described separately, and nodes communicate with each other by their outputs, which is more realistic when the node states are unmeasured. By using the Lyapunov method and the fractional differential inequality, sufficient conditions are provided for achieving asymptotic synchronization based on the designed adaptive control, where the synchronized state of each layer is different. Furthermore, a quantized adaptive controller is developed to realize the synchronization of FOOCMNs, which effectively reduces signal transmission frequency and improves the effective utilization rate of network resources. Two numerical examples are given at last to support the theoretical analysis. |
| first_indexed | 2024-03-09T12:40:06Z |
| format | Article |
| id | doaj.art-b09c78e6534b4dec9a1e066548720349 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-09T12:40:06Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-b09c78e6534b4dec9a1e0665487203492023-11-30T22:19:05ZengMDPI AGFractal and Fractional2504-31102022-12-01712210.3390/fractalfract7010022Adaptive Quantized Synchronization of Fractional-Order Output-Coupling Multiplex NetworksYunzhan Bai0Juan Yu1Cheng Hu2College of Mathematics and System Science, Xinjiang University, Urumqi 830017, ChinaCollege of Mathematics and System Science, Xinjiang University, Urumqi 830017, ChinaCollege of Mathematics and System Science, Xinjiang University, Urumqi 830017, ChinaThis paper is devoted to investigating the synchronization of fractional-order output-coupling multiplex networks (FOOCMNs). Firstly, a type of fractional-order multiplex network is introduced, where the intra-layer coupling and the inter-layer coupling are described separately, and nodes communicate with each other by their outputs, which is more realistic when the node states are unmeasured. By using the Lyapunov method and the fractional differential inequality, sufficient conditions are provided for achieving asymptotic synchronization based on the designed adaptive control, where the synchronized state of each layer is different. Furthermore, a quantized adaptive controller is developed to realize the synchronization of FOOCMNs, which effectively reduces signal transmission frequency and improves the effective utilization rate of network resources. Two numerical examples are given at last to support the theoretical analysis.https://www.mdpi.com/2504-3110/7/1/22fractional orderoutput couplingmultiplex networkquantized controladaptive synchronization |
| spellingShingle | Yunzhan Bai Juan Yu Cheng Hu Adaptive Quantized Synchronization of Fractional-Order Output-Coupling Multiplex Networks Fractal and Fractional fractional order output coupling multiplex network quantized control adaptive synchronization |
| title | Adaptive Quantized Synchronization of Fractional-Order Output-Coupling Multiplex Networks |
| title_full | Adaptive Quantized Synchronization of Fractional-Order Output-Coupling Multiplex Networks |
| title_fullStr | Adaptive Quantized Synchronization of Fractional-Order Output-Coupling Multiplex Networks |
| title_full_unstemmed | Adaptive Quantized Synchronization of Fractional-Order Output-Coupling Multiplex Networks |
| title_short | Adaptive Quantized Synchronization of Fractional-Order Output-Coupling Multiplex Networks |
| title_sort | adaptive quantized synchronization of fractional order output coupling multiplex networks |
| topic | fractional order output coupling multiplex network quantized control adaptive synchronization |
| url | https://www.mdpi.com/2504-3110/7/1/22 |
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