Outer synchronization of stochastic complex networks with time-varying delay

被引:3
作者
Jin, Tao [1 ]
Li, Wenxue [2 ]
Feng, Junyan [2 ]
机构
[1] Harbin Inst Technol Weihai, Sch Informat Sci & Engn, Weihai 264209, Peoples R China
[2] Harbin Inst Technol Weihai, Weihai 264209, Peoples R China
基金
中国博士后科学基金;
关键词
stochastic complex networks; time-varying delay; outer synchronization; DYNAMICAL NETWORKS;
D O I
10.1186/s13662-015-0691-4
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the outer synchronization of stochastic complex networks with time-varying delay is investigated. A systematic method that allows one to construct global Lyapunov functions for these systems is provided by employing results from graph theory and Lyapunov method. By the construction of the Lyapunov function, some sufficient conditions of pth moment exponential outer synchronization are given. The theoretic result is also applied to an investigation of the outer synchronization of stochastic time-varying delayed coupled oscillators on networks. Finally, a numerical example is examined to illustrate the effectiveness of the results developed.
引用
收藏
页码:1 / 16
页数:16
相关论文
共 19 条
[1]   Synchronization in complex networks [J].
Arenas, Alex ;
Diaz-Guilera, Albert ;
Kurths, Jurgen ;
Moreno, Yamir ;
Zhou, Changsong .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2008, 469 (03) :93-153
[2]   Complex networks: Structure and dynamics [J].
Boccaletti, S. ;
Latora, V. ;
Moreno, Y. ;
Chavez, M. ;
Hwang, D. -U. .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2006, 424 (4-5) :175-308
[3]   Synchronization in stochastic coupled systems: theoretical results [J].
Deng, YC ;
Ding, MZ ;
Feng, JF .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (06) :2163-2173
[4]   Finite-time mixed outer synchronization of complex networks with coupling time-varying delay [J].
He, Ping ;
Ma, Shu-Hua ;
Fan, Tao .
CHAOS, 2012, 22 (04)
[5]   Outer synchronization of coupled discrete-time networks [J].
Li, Changpin ;
Xu, Congxiang ;
Sun, Weigang ;
Xu, Jian ;
Kurths, Juergen .
CHAOS, 2009, 19 (01)
[6]   First-principles study of the dependence of ground-state structural properties on the dimensionality and size of ZnO nanostructures [J].
Li, Chun ;
Guo, Wanlin ;
Kong, Yong ;
Gao, Huajian .
PHYSICAL REVIEW B, 2007, 76 (03)
[7]   Synchronization and state estimation for singular complex dynamical networks with time-varying delays [J].
Li, Hongjie ;
Ning, Zijun ;
Yin, Yunhui ;
Tang, Yang .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2013, 18 (01) :194-208
[8]   Controlling chaotic robots with kinematical redundancy [J].
Li, L ;
Liu, ZH ;
Zhang, DC ;
Zhang, H .
CHAOS, 2006, 16 (01)
[9]   Global-stability problem for coupled systems of differential equations on networks [J].
Li, Michael Y. ;
Shuai, Zhisheng .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 248 (01) :1-20
[10]   Outer synchronization of coupled networks using arbitrary coupling strength [J].
Li, Zhuchun ;
Xue, Xiaoping .
CHAOS, 2010, 20 (02)