Global synchronization of linearly hybrid coupled networks with time-varying delay

doi:10.1137/070679090

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	Global synchronization of linearly hybrid coupled networks with time-varying delay
	Yu, Wenwu 1,2,3; Cao, Jinde 1; Lu, Jinhu 4,5
	2008
发表期刊	SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS
ISSN	1536-0040
卷号	7 期号:1 页码:108-133
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.
关键词	Lyapunov function linear matrix inequality (LMI) global synchronization time-varying delay complex networks
DOI	10.1137/070679090
语种	英语
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:000255500100006
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6458
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.