蒲浩,蒋海军,胡成

• 1:新疆大学数学与系统科学学院

摘要(Abstract)：

通过牵控制方法研究了具有变时滞的复杂动力网络的指数同步.通过对部分节点添加控制器,应用李雅普洛夫稳定性理论和线性矩阵不等式方法,得到指数同步的充分条件.

关键词(KeyWords)： 指数同步;牵控制;变时滞;复杂网络

Abstract:

Keywords:

基金项目(Foundation): Supported by the National Natural Science Foundation of People's Republic of China(61164004);; the Natural Science Foundation of Xinjiang(2010211A07)

作者(Author): 蒲浩,蒋海军,胡成

参考文献(References)：

• [1]Watts D J,Strogatz S H.Collective dynamics of small-world networks[J].Nature,1998,393:440-449.
• [2]Barbaas A L,Alber A E.Emergence of scaling in random networks[J].Science,1999,286:509-512.
• [3]Newman M E J.The structure and function of complex networks[J].SIAM Rev,2003,45:167-256.
• [4]Yang Y Q,Cao J D.Exponential synchronization of the complex dynamical networks with a coupling delay and impulsive effects[J].Nonlinear Anal.RWA,2010,11:1650-1659.
• [5]Zhou J,Chen T P.Synchronization in general complex delayed dynamical networks[J].IEEE Trans.Ciruits Syst.ΠExpress Briefs,2007,56:729-742.
• [6]Zhou J,Xiang L,Liu Z R.Global synchronization in general complex delayed dynamical networks and its applications[J].Physics Letters A,2007,385:723-746.
• [7]Wang B,Guan Z.Chaos synchronization in general complex dynamical networks with coupling delays[J].Nonlinear Analysis B Real World Applications,2010,11:1925-1932.
• [8]Cai S,He Q,Hao J,Liu Z.Exponential synchronization of complex networks with nonidentical time-delayed dynamical nodes[J].Physics Letters A,2010,374:2539-2550.
• [9]Liu P,Yi Z.Synchronization analysis of delayed complex networks with time-varying coupling[J].Physics Letters A,2008,387:3729-3737.
• [10]Liu J,Chen G.A time-varying complex dynamical network model and its controlled synchronization criteria[J].IEEE Trans Automat.Control,2005,50:841-846.
• [11]Liu X,Chen T.Exponential synchronization of nonlinear coupled dynamical networks with a delayed coupling[J].Physics Letters A,2007,387:527-536.
• [12]Lu J,Wang D,Hong C.Local and global synchronization in general complex dynamical networks with delay coupling[J].Chaos Solitions Fractals,2008,37:1497-1510.
• [13]Cao J,Li P,Wang W.Global synchronization in arrays of delayed neural networks with constant and coupling[J].Physics Letters A,2006,353:865-872.
• [14]Yu W,Cao J,Lu J.Global synchronization of linearly hybrid coupled networks with time-varying delay[J].SIAM J Appl Dynam Syst,2008,7:108-133.
• [15]Wu W,Chen T.Global synchronization criteria of linearly coupled neural network systems with time-varying coupling[J].IEEE Trans Neural Netw,2008,19:319-332.
• [16]Board S,Ghaoui L E,Feron E,et al.Linear Matrix.Inequalities in system and control Theory[M].SIAM Phillae phia,1994.
• [17]Halanay A.Differential Equations:Stability.Oscillations.Time Lags[M].New York:Academic,1996.
• [18]Cai S,He Q,Hao J,Liu Z.Exponential synchronization of complex networks with nonidentical time-delayed dynamical nodes[J].Physics Letters A,2010,374:2539-2550.