Decentralized control for synchronization of delayed neural networks subject to dead-zone nonlinearity

Abstract This article aims to present a decentralized synchronization scheme for a class of delayed neural networks subject to dead-zone nonlinearity in control input. On the basis of the drive–response concept and the Lyapunov stability theory, a decentralized control law is proposed for guaranteeing global synchronization even when input nonlinearity is present. The proposed controller is suitable for application in delayed cellular neural networks (DCNNs) and delayed Hopfield neural networks (DHNNs) with no restriction on the derivative of the time-varying delays. Finally, computer simulations are provided to demonstrate the effectiveness of the proposed synchronization scheme.

[1]  Kou-Cheng Hsu Variable Structure Control Design for Uncertain Dynamic Systems with Sector Nonlinearities , 1998, Autom..

[2]  Ping Zhu,et al.  Controlling chaos in a chaotic neural network , 2003, Neural Networks.

[3]  Jinde Cao Periodic oscillation and exponential stability of delayed CNNs , 2000 .

[4]  Saverio Mascolo,et al.  SYNCHRONIZING HIGH DIMENSIONAL CHAOTIC SYSTEMS VIA EIGENVALUE PLACEMENT WITH APPLICATION TO CELLULAR NEURAL NETWORKS , 1999 .

[5]  Krishnamurthy Murali,et al.  Bifurcation and Controlling of Chaotic Delayed Cellular Neural Networks , 1998 .

[6]  P. Vadakkepat,et al.  Absolute periodicity and absolute stability of delayed neural networks , 2002 .

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

[8]  Teh-Lu Liao,et al.  Adaptive synchronization of chaotic systems and its application to secure communications , 2000 .

[9]  Donghua Zhou,et al.  A new observer-based synchronization scheme for private communication , 2005 .

[10]  Milton Kaufman,et al.  Handbook of Operational Amplifier Circuit Design , 1976 .

[11]  Hongtao Lu Chaotic attractors in delayed neural networks , 2002 .

[12]  Stanislaw Jankowski,et al.  Synchronization and control in a cellular neural network of chaotic units by local pinnings , 1996 .

[13]  Chi-Chuan Hwang,et al.  Exponential synchronization of a class of neural networks with time-varying delays , 2006, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[14]  M. Feki An adaptive chaos synchronization scheme applied to secure communication , 2003 .

[15]  Hongjie Yu,et al.  Control of chaotic neural networks based on contraction mappings , 2004 .

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

[17]  Tianping Chen,et al.  Robust synchronization of delayed neural networks based on adaptive control and parameters identification , 2006 .

[18]  Vladimir E. Bondarenko,et al.  Control and `anticontrol' of chaos in an analog neural network with time delay , 2002 .