Complete synchronization for impulsive Cohen–Grossberg neural networks with delay under noise perturbation☆

Abstract In this paper, impulsive Cohen–Grossberg neural networks with delay is studied. Sufficient conditions are given to guarantee the realization of complete synchronization for Cohen–Grossberg neural networks with delay and large impulse under noise perturbation by stochastic Halanay inequality. Moreover, an example is given to show the effectiveness of synchronization design in this paper.

[1]  K. Gopalsamy Stability and Oscillations in Delay Differential Equations of Population Dynamics , 1992 .

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

[3]  Jinde Cao,et al.  Exponential synchronization of stochastic perturbed chaotic delayed neural networks , 2007, Neurocomputing.

[4]  Gang Zhang,et al.  Synchronization of complex dynamical networks via impulsive control. , 2007, Chaos.

[5]  Wei Lin,et al.  Complete and generalized synchronization in a class of noise perturbed chaotic systems. , 2007, Chaos.

[6]  J J Hopfield,et al.  Neural networks and physical systems with emergent collective computational abilities. , 1982, Proceedings of the National Academy of Sciences of the United States of America.

[7]  Wei Lin,et al.  Complete synchronization of the noise-perturbed Chua's circuits. , 2005, Chaos.

[8]  J. Ruan,et al.  Global dynamic analysis of general Cohen–Grossberg neural networks with impulse , 2007 .

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

[10]  X. Mao,et al.  Stochastic Differential Equations and Applications , 1998 .

[12]  Zhiguo Yang,et al.  Exponential p-stability of impulsive stochastic differential equations with delays , 2006 .

[13]  H. Akça,et al.  Continuous-time additive Hopfield-type neural networks with impulses , 2004 .

[14]  Jinde Cao,et al.  Global synchronization in arrays of delayed neural networks with constant and delayed coupling , 2006 .

[15]  Q. Song,et al.  Global exponential stability of impulsive Cohen-Grossberg neural network with time-varying delays , 2008 .

[16]  K. Gopalsamy,et al.  Exponential stability of artificial neural networks with distributed delays and large impulses , 2008 .

[17]  Guanrong Chen,et al.  Global Synchronization of Coupled Delayed Neural Networks and Applications to Chaotic CNN Models , 2004, Int. J. Bifurc. Chaos.

[18]  Jinde Cao,et al.  Robust impulsive synchronization of coupled delayed neural networks with uncertainties , 2007 .

[19]  Yongkun Li Global exponential stability of BAM neural networks with delays and impulses , 2005 .

[20]  J. Ruan,et al.  Global stability analysis of impulsive Cohen–Grossberg neural networks with delay , 2005 .