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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
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
DOI10.1137/070679090
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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