Quasi-synchronization of nonlinearly coupled networks with measurement noise

This paper investigates quasi-synchronization of nonlinearly coupled networks with time delay and measurement noise via periodically intermittent pinning control. The main difference between this paper and others is that each node can only receive stochastic and indirect information from its neighbors. By using the Ito formula and some significant inequations, a sufficient condition for quasi-synchronization is established and a corollary is derived. Numerical simulations are provided to illustrate the effectiveness and feasibility of the theoretical results.

[1]  Zengrong Liu,et al.  Periodically intermittent controlling complex dynamical networks with time-varying delays to a desired orbit , 2009 .

[2]  Johan A K Suykens,et al.  Introduction to Focus Issue: synchronization in complex networks. , 2008, Chaos.

[3]  C. Deissenberg.  Optimal control of linear econometric models with intermittent controls , 1980 .

[4]  Zengrong Liu,et al.  Exponential synchronization of complex delayed dynamical networks via pinning periodically intermittent control , 2011 .

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

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

[7]  C. Wu.  On the relationship between pinning control effectiveness and graph topology in complex networks of dynamical systems. , 2008, Chaos.

[8]  Maurizio Porfiri,et al.  Criteria for global pinning-controllability of complex networks , 2008, Autom..

[9]  Zidong Wang,et al.  State Estimation for Coupled Uncertain Stochastic Networks With Missing Measurements and Time-Varying Delays: The Discrete-Time Case , 2009, IEEE Transactions on Neural Networks.

[10]  Guanrong Chen,et al.  Pinning control of scale-free dynamical networks , 2002 .

[11]  Chuandong Li,et al.  Synchronization of chaotic systems with delay using intermittent linear state feedback. , 2008, Chaos.

[12]  Tianping Chen,et al.  Synchronization analysis for nonlinearly-coupled complex networks with an asymmetrical coupling matrix , 2008 .

[13]  Guanrong Chen,et al.  Synchronization of delayed chaotic systems with parameter mismatches by using intermittent linear state feedback , 2009 .

[14]  Tianping Chen,et al.  Pinning Complex Networks by a Single Controller , 2007, IEEE Transactions on Circuits and Systems I: Regular Papers.

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

[16]  Xiang Li,et al.  Pinning a complex dynamical network to its equilibrium , 2004, IEEE Trans. Circuits Syst. I Regul. Pap..

[17]  Jinde Cao,et al.  On Pinning Synchronization of Directed and Undirected Complex Dynamical Networks , 2010, IEEE Transactions on Circuits and Systems I: Regular Papers.

[18]  Junan Lu,et al.  Adaptive synchronization of an uncertain complex dynamical network , 2006, IEEE Transactions on Automatic Control.

[19]  Zengrong Liu,et al.  Exponential synchronization of complex networks with nonidentical time-delayed dynamical nodes , 2010 .

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