Synchronization control of complex spatio-temporal networks based on fractional-order hyperbolic PDEs with delayed coupling and space-varying coefficients
This paper studies synchronization behaviors of two sorts of non-linear fractional-order complex spatio-temporal networks modeled by hyperbolic space-varying PDEs (FCSNHSPDEs), respectively, with time-invariant delays and time-varying delays, including one delayed coupling. One distributed controlle...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Multidisciplinary Digital Publishing Institute
2024
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| Online Access: | http://psasir.upm.edu.my/id/eprint/114526/ http://psasir.upm.edu.my/id/eprint/114526/1/114526.pdf |
| _version_ | 1848866519717511168 |
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| author | Yang, Chengyan Wang, Jin Jian, Muwei Dai, Jiashu |
| author_facet | Yang, Chengyan Wang, Jin Jian, Muwei Dai, Jiashu |
| author_sort | Yang, Chengyan |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | This paper studies synchronization behaviors of two sorts of non-linear fractional-order complex spatio-temporal networks modeled by hyperbolic space-varying PDEs (FCSNHSPDEs), respectively, with time-invariant delays and time-varying delays, including one delayed coupling. One distributed controller with space-varying control gains is firstly designed. For time-invariant delayed cases, sufficient conditions for synchronization of FCSNHSPDEs are presented via LMIs, which have no relation to time delays. For time-varying delayed cases, synchronization conditions of FCSNHSPDEs are presented via spatial algebraic LMIs (SALMIs), which are related to time delay varying speeds. Finally, two examples show the validity of the control approaches. |
| first_indexed | 2025-11-15T14:21:54Z |
| format | Article |
| id | upm-114526 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T14:21:54Z |
| publishDate | 2024 |
| publisher | Multidisciplinary Digital Publishing Institute |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1145262025-01-17T01:45:08Z http://psasir.upm.edu.my/id/eprint/114526/ Synchronization control of complex spatio-temporal networks based on fractional-order hyperbolic PDEs with delayed coupling and space-varying coefficients Yang, Chengyan Wang, Jin Jian, Muwei Dai, Jiashu This paper studies synchronization behaviors of two sorts of non-linear fractional-order complex spatio-temporal networks modeled by hyperbolic space-varying PDEs (FCSNHSPDEs), respectively, with time-invariant delays and time-varying delays, including one delayed coupling. One distributed controller with space-varying control gains is firstly designed. For time-invariant delayed cases, sufficient conditions for synchronization of FCSNHSPDEs are presented via LMIs, which have no relation to time delays. For time-varying delayed cases, synchronization conditions of FCSNHSPDEs are presented via spatial algebraic LMIs (SALMIs), which are related to time delay varying speeds. Finally, two examples show the validity of the control approaches. Multidisciplinary Digital Publishing Institute 2024-09-09 Article PeerReviewed text en cc_by_4 http://psasir.upm.edu.my/id/eprint/114526/1/114526.pdf Yang, Chengyan and Wang, Jin and Jian, Muwei and Dai, Jiashu (2024) Synchronization control of complex spatio-temporal networks based on fractional-order hyperbolic PDEs with delayed coupling and space-varying coefficients. Fractal and Fractional, 8 (9). art. no. 525. ISSN 2504-3110; eISSN: 2504-3110 https://www.mdpi.com/2504-3110/8/9/525 10.3390/fractalfract8090525 |
| spellingShingle | Yang, Chengyan Wang, Jin Jian, Muwei Dai, Jiashu Synchronization control of complex spatio-temporal networks based on fractional-order hyperbolic PDEs with delayed coupling and space-varying coefficients |
| title | Synchronization control of complex spatio-temporal networks based on fractional-order hyperbolic PDEs with delayed coupling and space-varying coefficients |
| title_full | Synchronization control of complex spatio-temporal networks based on fractional-order hyperbolic PDEs with delayed coupling and space-varying coefficients |
| title_fullStr | Synchronization control of complex spatio-temporal networks based on fractional-order hyperbolic PDEs with delayed coupling and space-varying coefficients |
| title_full_unstemmed | Synchronization control of complex spatio-temporal networks based on fractional-order hyperbolic PDEs with delayed coupling and space-varying coefficients |
| title_short | Synchronization control of complex spatio-temporal networks based on fractional-order hyperbolic PDEs with delayed coupling and space-varying coefficients |
| title_sort | synchronization control of complex spatio-temporal networks based on fractional-order hyperbolic pdes with delayed coupling and space-varying coefficients |
| url | http://psasir.upm.edu.my/id/eprint/114526/ http://psasir.upm.edu.my/id/eprint/114526/ http://psasir.upm.edu.my/id/eprint/114526/ http://psasir.upm.edu.my/id/eprint/114526/1/114526.pdf |