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Global synchronization of linearly hybrid coupled networks with time-varying delay
文献类型:期刊论文
作者 | Yu, Wenwu1,2,3; Cao, Jinde1; Lu, Jinhu4,5 |
刊名 | SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS
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出版日期 | 2008 |
卷号 | 7期号:1页码:108-133 |
关键词 | Lyapunov function linear matrix inequality (LMI) global synchronization time-varying delay complex networks |
ISSN号 | 1536-0040 |
DOI | 10.1137/070679090 |
英文摘要 | Many real-world large-scale complex networks demonstrate a surprising degree of synchronization. To unravel the underlying mechanics of synchronization in these complex networks, a generally linearly hybrid coupled network with time-varying delay is proposed, and its global synchronization is then further investigated. Several effective sufficient conditions of global synchronization are attained based on the Lyapunov function and a linear matrix inequality (LMI). Both delay-independent and delay-dependent conditions are deduced. In particular, the coupling matrix may be nonsymmetric or nondiagonal. Moreover, the derivative of the time-varying delay is extended to any given value. Finally, a small-world network, a regular network, and scale-free networks with network size are constructed to show the effectiveness of the proposed synchronous criteria. |
WOS研究方向 | Mathematics ; Physics |
语种 | 英语 |
WOS记录号 | WOS:000255500100006 |
出版者 | SIAM PUBLICATIONS |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6457] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Yu, Wenwu |
作者单位 | 1.Southeast Univ, Dept Math, Nanjing 210096, Peoples R China 2.City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China 3.Columbia Univ, Dept Elect Engn, New York, NY 10027 USA 4.Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 5.Princeton Univ, Dept Ecol & Evolut Biol, Princeton, NJ 08544 USA |
推荐引用方式 GB/T 7714 | Yu, Wenwu,Cao, Jinde,Lu, Jinhu. Global synchronization of linearly hybrid coupled networks with time-varying delay[J]. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS,2008,7(1):108-133. |
APA | Yu, Wenwu,Cao, Jinde,&Lu, Jinhu.(2008).Global synchronization of linearly hybrid coupled networks with time-varying delay.SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS,7(1),108-133. |
MLA | Yu, Wenwu,et al."Global synchronization of linearly hybrid coupled networks with time-varying delay".SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS 7.1(2008):108-133. |
入库方式: OAI收割
来源:数学与系统科学研究院
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