KMS Of Academy of mathematics and systems sciences, CAS
Synchronizability of Duplex Networks | |
Li, Yang1; Wu, Xiaoqun1; Lu, Jun-an1; Lu, Jinhu2![]() | |
2016-02-01 | |
发表期刊 | IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
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ISSN | 1549-7747 |
卷号 | 63期号:2页码:206-210 |
摘要 | This brief presents some rules and properties about synchronizability of duplex networks composed of two networks interconnected by two links. For a specific duplex network composed of two star networks, analytical expressions containing the largest and smallest nonzero eigenvalues of the (weighted) Laplacian matrix, the interlink weight, and the network size are given for three different interlayer connection patterns. It is shown that connection patterns have great influence on the ability of the duplex system to synchronize, and connecting high-degree nodes is the most effective way to achieve synchronization, while connecting low-degree nodes is the least. Numerical examples are also provided to verify the effectiveness of theoretical analysis. This work sheds new light on understanding synchronizability of groups of interconnected networks or networks of networks (NONs). Particularly, in the design of circuit networks such as power grids, the findings can facilitate engineers with optimal selections of interconnection patterns and parameter assignments, in terms of optimizing the stability of desired synchronous states and minimizing control cost. |
关键词 | Duplex network interlink weight networks of networks (NONs) synchronizability |
DOI | 10.1109/TCSII.2015.2468924 |
语种 | 英语 |
资助项目 | National Natural Science Foundation of China[61174028] ; National Natural Science Foundation of China[11172215] ; National Natural Science Foundation of China[61203159] |
WOS研究方向 | Engineering |
WOS类目 | Engineering, Electrical & Electronic |
WOS记录号 | WOS:000370533000018 |
出版者 | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/22094 |
专题 | 系统科学研究所 |
通讯作者 | Wu, Xiaoqun |
作者单位 | 1.Wuhan Univ, Sch Math & Stat, Hubei 430072, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100190, Peoples R China |
推荐引用方式 GB/T 7714 | Li, Yang,Wu, Xiaoqun,Lu, Jun-an,et al. Synchronizability of Duplex Networks[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS,2016,63(2):206-210. |
APA | Li, Yang,Wu, Xiaoqun,Lu, Jun-an,&Lu, Jinhu.(2016).Synchronizability of Duplex Networks.IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS,63(2),206-210. |
MLA | Li, Yang,et al."Synchronizability of Duplex Networks".IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS 63.2(2016):206-210. |
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