Generalized Function Projective Lag Synchronization between Two Different Neural Networks

The generalized function projective lag synchronization (GFPLS) is proposed in this paper. The scaling functions which we have investigated are not only depending on time, but also depending on the networks. Based on Lyapunov stability theory, a feedback controller and several sufficient conditions are designed such that the response networks can realize lag-synchronize with the drive networks. Finally, the corresponding numerical simulations are performed to demonstrate the validity of the presented synchronization method.

[1]  Maoan Han,et al.  Exponential lag synchronization of delayed fuzzy cellular neural networks with impulses , 2009 .

[2]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.

[3]  Juan Meng,et al.  GENERALIZED PROJECTIVE SYNCHRONIZATION OF A CLASS OF DELAYED NEURAL NETWORKS , 2008 .

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

[5]  Marios M. Polycarpou,et al.  Advances in Neural Networks – ISNN 2012 , 2012, Lecture Notes in Computer Science.

[6]  Yan Huang,et al.  Chaos of a new class of Hopfield neural networks , 2008, Appl. Math. Comput..

[7]  Zidong Wang,et al.  Global Synchronization for Discrete-Time Stochastic Complex Networks With Randomly Occurred Nonlinearities and Mixed Time Delays , 2010, IEEE Transactions on Neural Networks.

[8]  Runhe Qiu,et al.  Adaptive lag synchronization in unknown stochastic chaotic neural networks with discrete and distributed time-varying delays☆ , 2008 .

[9]  Jinde Cao,et al.  Robust stability for uncertain stochastic neural network with delay and impulses , 2012, Neurocomputing.

[10]  Hongtao Lu,et al.  Adaptive generalized function projective lag synchronization of different chaotic systems with fully uncertain parameters , 2011 .

[11]  Jian Xu,et al.  Projective synchronization of different chaotic time-delayed neural networks based on integral sliding mode controller , 2010, Appl. Math. Comput..

[12]  Zhidong Teng,et al.  Exponential lag synchronization for neural networks with mixed delays via periodically intermittent control. , 2010, Chaos.

[13]  Jinde Cao,et al.  Stochastic synchronization of coupled neural networks with intermittent control , 2009 .

[14]  Hao Ma,et al.  Adaptive Projective Synchronization and Function Projective Synchronization of Chaotic Neural Networks with Delayed and Non-delayed Coupling , 2012, ISNN.

[15]  Enes Yilmaz,et al.  Stability in cellular neural networks with a piecewise constant argument , 2010, J. Comput. Appl. Math..

[16]  W. Stewart,et al.  The Kronecker product and stochastic automata networks , 2004 .

[17]  Guoliang Cai,et al.  Global synchronization of weighted cellular neural network with time-varying coupling delays , 2012 .

[18]  Zhidong Teng,et al.  Adaptive synchronization of neural networks with time-varying delay and distributed delay , 2008 .