Adaptive Finite-Time Mixed Interlayer Synchronization of Two-Layer Complex Networks with Time-Varying Coupling Delay
This paper is concerned with two-layer complex networks with unidirectional interlayer couplings, where the drive and response layer have time-varying coupling delay and different topological structures. An adaptive control scheme is proposed to investigate finite-time mixed interlayer synchronizati...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/7025404 |
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| _version_ | 1849309191436500992 |
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| author | Xiaoyun Tang Zhanying Yang Jie Zhang |
| author_facet | Xiaoyun Tang Zhanying Yang Jie Zhang |
| author_sort | Xiaoyun Tang |
| collection | DOAJ |
| description | This paper is concerned with two-layer complex networks with unidirectional interlayer couplings, where the drive and response layer have time-varying coupling delay and different topological structures. An adaptive control scheme is proposed to investigate finite-time mixed interlayer synchronization (FMIS) of two-layer networks. Based on the Lyapunov stability theory, a criterion for realizing FMIS is derived. In addition, several sufficient conditions for realizing mixed interlayer synchronization are given. Finally, some numerical simulations are presented to verify the correctness and effectiveness of theoretical results. Meanwhile, the proposed adaptive control strategy is demonstrated to be nonfragile with the noise perturbation. |
| format | Article |
| id | doaj-art-04792e2cc733484f8bbd18c9a43359f0 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-04792e2cc733484f8bbd18c9a43359f02025-08-20T03:54:15ZengWileyAdvances in Mathematical Physics1687-91201687-91392018-01-01201810.1155/2018/70254047025404Adaptive Finite-Time Mixed Interlayer Synchronization of Two-Layer Complex Networks with Time-Varying Coupling DelayXiaoyun Tang0Zhanying Yang1Jie Zhang2School of Mathematics and Statistics, South-Central University for Nationalities, Wuhan, Hubei 430074, ChinaSchool of Mathematics and Statistics, South-Central University for Nationalities, Wuhan, Hubei 430074, ChinaSchool of Mathematics and Statistics, South-Central University for Nationalities, Wuhan, Hubei 430074, ChinaThis paper is concerned with two-layer complex networks with unidirectional interlayer couplings, where the drive and response layer have time-varying coupling delay and different topological structures. An adaptive control scheme is proposed to investigate finite-time mixed interlayer synchronization (FMIS) of two-layer networks. Based on the Lyapunov stability theory, a criterion for realizing FMIS is derived. In addition, several sufficient conditions for realizing mixed interlayer synchronization are given. Finally, some numerical simulations are presented to verify the correctness and effectiveness of theoretical results. Meanwhile, the proposed adaptive control strategy is demonstrated to be nonfragile with the noise perturbation.http://dx.doi.org/10.1155/2018/7025404 |
| spellingShingle | Xiaoyun Tang Zhanying Yang Jie Zhang Adaptive Finite-Time Mixed Interlayer Synchronization of Two-Layer Complex Networks with Time-Varying Coupling Delay Advances in Mathematical Physics |
| title | Adaptive Finite-Time Mixed Interlayer Synchronization of Two-Layer Complex Networks with Time-Varying Coupling Delay |
| title_full | Adaptive Finite-Time Mixed Interlayer Synchronization of Two-Layer Complex Networks with Time-Varying Coupling Delay |
| title_fullStr | Adaptive Finite-Time Mixed Interlayer Synchronization of Two-Layer Complex Networks with Time-Varying Coupling Delay |
| title_full_unstemmed | Adaptive Finite-Time Mixed Interlayer Synchronization of Two-Layer Complex Networks with Time-Varying Coupling Delay |
| title_short | Adaptive Finite-Time Mixed Interlayer Synchronization of Two-Layer Complex Networks with Time-Varying Coupling Delay |
| title_sort | adaptive finite time mixed interlayer synchronization of two layer complex networks with time varying coupling delay |
| url | http://dx.doi.org/10.1155/2018/7025404 |
| work_keys_str_mv | AT xiaoyuntang adaptivefinitetimemixedinterlayersynchronizationoftwolayercomplexnetworkswithtimevaryingcouplingdelay AT zhanyingyang adaptivefinitetimemixedinterlayersynchronizationoftwolayercomplexnetworkswithtimevaryingcouplingdelay AT jiezhang adaptivefinitetimemixedinterlayersynchronizationoftwolayercomplexnetworkswithtimevaryingcouplingdelay |