Exponential Synchronization of Impulsive Complex Networks with Output Coupling

This paper proposes a new impulsive complex delayed dynamical network model with output coupling, which is totally different from some existing network models. Then, by employing impulsive delay differential inequalities, some sufficient conditions are obtained to guarantee the global exponential state synchronization and output synchronization of the impulsive complex delayed dynamical network. Finally, two numerical examples are given to demonstrate the effectiveness of the obtained results.

[1]  Zengrong Liu,et al.  Robust impulsive synchronization of complex delayed dynamical networks , 2008 .

[2]  Wen-Wei Lin,et al.  Chaotic Synchronization in Coupled Map Lattices with Periodic Boundary Conditions , 2002, SIAM J. Appl. Dyn. Syst..

[3]  Huai-Ning Wu,et al.  Passivity analysis of complex dynamical networks with multiple time-varying delays , 2012 .

[4]  Song Zheng,et al.  Impulsive synchronization of complex networks with non-delayed and delayed coupling , 2009 .

[5]  Xiaoqun Wu Synchronization-based topology identification of weighted general complex dynamical networks with time-varying coupling delay , 2008 .

[6]  Jin-Liang Wang,et al.  Local and global exponential output synchronization of complex delayed dynamical networks , 2012 .

[7]  V. Lakshmikantham,et al.  Theory of Impulsive Differential Equations , 1989, Series in Modern Applied Mathematics.

[8]  Jin Zhou,et al.  Synchronization in complex delayed dynamical networks with impulsive effects , 2007 .

[9]  Daoyi Xu,et al.  Stability Analysis and Design of Impulsive Control Systems With Time Delay , 2007, IEEE Transactions on Automatic Control.

[10]  Lei Wang,et al.  Adaptive synchronization of weighted complex dynamical networks with coupling time-varying delays , 2008 .

[11]  Zengqiang Chen,et al.  Pinning control of complex dynamical networks with heterogeneous delays , 2008, Comput. Math. Appl..

[12]  Lin Huang,et al.  Synchronization of linearly coupled networks of deterministic ratchets , 2008 .

[13]  Daoyi Xu,et al.  Delay-dependent stability analysis for impulsive neural networks with time varying delays , 2008, Neurocomputing.

[14]  Jinde Cao,et al.  Synchronization Control for Nonlinear Stochastic Dynamical Networks: Pinning Impulsive Strategy , 2012, IEEE Transactions on Neural Networks and Learning Systems.

[15]  Wenlian Lu,et al.  Synchronization of Discrete-Time Dynamical Networks with Time-Varying Couplings , 2008, SIAM J. Math. Anal..

[16]  Jinde Cao,et al.  A unified synchronization criterion for impulsive dynamical networks , 2010, Autom..

[17]  Huai-Ning Wu,et al.  Passivity analysis of impulsive complex networks , 2011, Int. J. Autom. Comput..

[18]  Jinde Cao,et al.  Exponential Synchronization of Linearly Coupled Neural Networks With Impulsive Disturbances , 2011, IEEE Transactions on Neural Networks.

[19]  Chunguang Li,et al.  Synchronization in general complex dynamical networks with coupling delays , 2004 .

[20]  Xiaoming Xu,et al.  Synchronization and exponential estimates of complex networks with mixed time-varying coupling delays , 2009, Int. J. Autom. Comput..

[21]  Tianping Chen,et al.  New approach to synchronization analysis of linearly coupled ordinary differential systems , 2006 .

[22]  Tingwen Huang,et al.  Local and global exponential synchronization of complex delayed dynamical networkswith general topology , 2011 .

[23]  Zengqiang Chen,et al.  Pinning weighted complex networks with heterogeneous delays by a small number of feedback controllers , 2008, Science in China Series F: Information Sciences.

[24]  Tingwen Huang,et al.  Synchronization criteria in complex dynamical networks with nonsymmetric coupling and multiple time-varying delays , 2012 .

[25]  Daoyi Xu,et al.  Impulsive effects on stability of Cohen-Grossberg neural networks with variable delays , 2006, Appl. Math. Comput..

[26]  Choy Heng Lai,et al.  Adaptive–impulsive synchronization of uncertain complex dynamical networks , 2008 .

[27]  Huai-Ning Wu,et al.  Synchronization criteria for impulsive complex dynamical networks with time-varying delay , 2012 .

[28]  Guo-Ping Jiang,et al.  A State-Observer-Based Approach for Synchronization in Complex Dynamical Networks , 2006, IEEE Transactions on Circuits and Systems I: Regular Papers.

[29]  Huai-Ning Wu,et al.  Stability analysis of impulsive parabolic complex networks , 2011 .

[30]  Kolmanovskii,et al.  Introduction to the Theory and Applications of Functional Differential Equations , 1999 .

[31]  Guanrong Chen,et al.  Synchronization in a class of weighted complex networks with coupling delays , 2008 .

[32]  Licheng Jiao,et al.  Robust adaptive global synchronization of complex dynamical networks by adjusting time-varying coupling strength , 2008 .

[33]  S. Wen,et al.  Adaptive global synchronization of a general complex dynamical network with non-delayed and delayed coupling , 2008 .

[34]  Jinde Cao,et al.  Exponential synchronization of the complex dynamical networks with a coupling delay and impulsive effects , 2010 .

[35]  Jinde Cao,et al.  Global Synchronization of Linearly Hybrid Coupled Networks with Time-Varying Delay , 2008, SIAM J. Appl. Dyn. Syst..

[36]  Daoyi Xu,et al.  Stability Analysis of Delay Neural Networks With Impulsive Effects , 2005, IEEE Trans. Circuits Syst. II Express Briefs.

[37]  Huaguang Zhang,et al.  Robust Global Exponential Synchronization of Uncertain Chaotic Delayed Neural Networks via Dual-Stage Impulsive Control , 2010, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[38]  Junan Lu,et al.  Pinning adaptive synchronization of a general complex dynamical network , 2008, Autom..

[39]  C. K. Michael Tse,et al.  Adaptive Feedback Synchronization of a General Complex Dynamical Network With Delayed Nodes , 2008, IEEE Transactions on Circuits and Systems II: Express Briefs.

[40]  Shihua Chen,et al.  Global synchronization of nonlinearly coupled complex networks with non-delayed and delayed coupling , 2010 .