Exponential synchronization of the coupling delayed switching complex dynamical networks via impulsive control

In this paper, we investigate the exponential synchronization issue of coupling delayed switching complex dynamical networks via impulsive control. Basing on the Lyapunov functional method and establishing a new impulsive delay differential inequality, we derive some sufficient conditions which depend on delay and impulses to guarantee the exponential synchronization of the coupling delay switching complex dynamical network. Finally, numerical simulations are given to illustrate the effectiveness of the obtained results.

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

[2]  Jinde Cao,et al.  Pinning synchronization of delayed dynamical networks via periodically intermittent control. , 2009, Chaos.

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

[4]  Zidong Wang,et al.  Bounded $H_{\infty}$ Synchronization and State Estimation for Discrete Time-Varying Stochastic Complex Networks Over a Finite Horizon , 2011, IEEE Transactions on Neural Networks.

[5]  Guanrong Chen,et al.  A time-varying complex dynamical network model and its controlled synchronization criteria , 2004, IEEE Trans. Autom. Control..

[6]  Wei Zhu,et al.  Global impulsive exponential synchronization of time-delayed coupled chaotic systems , 2008 .

[7]  Guanrong Chen,et al.  Chaos synchronization of general complex dynamical networks , 2004 .

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

[9]  Jun Zhao,et al.  Exponential Synchronization of Complex Delayed Dynamical Networks With Switching Topology , 2010, IEEE Transactions on Circuits and Systems I: Regular Papers.

[10]  S. Strogatz.  Exploring complex networks , 2001, Nature.

[11]  Chai Wah Wu,et al.  Synchronization in arrays of coupled nonlinear systems with delay and nonreciprocal time-varying coupling , 2005, IEEE Transactions on Circuits and Systems II: Express Briefs.

[12]  Jurgen Kurths,et al.  Synchronization in complex networks , 2008, 0805.2976.

[13]  Jinde Cao,et al.  On periodic solutions of neural networks via differential inclusions , 2009, Neural Networks.

[14]  Song Zheng,et al.  Impulsive consensus in directed networks of identical nonlinear oscillators with switching topologies , 2012 .

[15]  Tianping Chen,et al.  Synchronization of coupled connected neural networks with delays , 2004, IEEE Transactions on Circuits and Systems I: Regular Papers.

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

[17]  Guanrong Chen,et al.  A time-varying complex dynamical network model and its controlled synchronization criteria , 2005, IEEE Transactions on Automatic Control.

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

[19]  Guanrong Chen,et al.  Global synchronization and asymptotic stability of complex dynamical networks , 2006, IEEE Transactions on Circuits and Systems II: Express Briefs.

[20]  Romeo Ortega,et al.  Passivity of Nonlinear Incremental Systems: Application to PI Stabilization of Nonlinear RLC Circuits , 2006, CDC.

[21]  Junan Lu,et al.  Pinning control of general complex dynamical networks with optimization , 2010, Science China Information Sciences.

[22]  Yan Gao,et al.  Mode and Delay-Dependent Adaptive Exponential Synchronization in $p$th Moment for Stochastic Delayed Neural Networks With Markovian Switching , 2012, IEEE Transactions on Neural Networks and Learning Systems.

[23]  V. Latora,et al.  Complex networks: Structure and dynamics , 2006 .

[24]  Zidong Wang,et al.  Sampled-Data Synchronization Control of Dynamical Networks With Stochastic Sampling , 2012, IEEE Transactions on Automatic Control.

[25]  Tianping Chen,et al.  Exponential synchronization of nonlinear coupled dynamical networks with a delayed coupling , 2007 .

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

[27]  Zhi-Hong Guan,et al.  Synchronization of Complex Dynamical Networks with Switching Topology via Adaptive Control , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[28]  Wolfgang A. Halang,et al.  Leader Following of Nonlinear Agents With Switching Connective Network and Coupling Delay , 2011, IEEE Transactions on Circuits and Systems I: Regular Papers.

[29]  Jin Zhou,et al.  Pinning Complex Delayed Dynamical Networks by a Single Impulsive Controller , 2011, IEEE Transactions on Circuits and Systems I: Regular Papers.

[30]  Jinde Cao,et al.  Synchronization control of switched linearly coupled neural networks with delay , 2010, Neurocomputing.

[31]  Lei Wang,et al.  Synchronization in complex networks with switching topology , 2011 .

[32]  Xiao Fan Wang,et al.  Synchronization in Small-World Dynamical Networks , 2002, Int. J. Bifurc. Chaos.

[33]  Wei Wu,et al.  Global Synchronization Criteria of Linearly Coupled Neural Network Systems With Time-Varying Coupling , 2008, IEEE Transactions on Neural Networks.