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Mean Square Exponential Synchronization of Stochastic Neutral Type Chaotic Neural Networks with Mixed Delay

Authors: Zixin Liu, Huawei Yang, Fangwei Chen


This paper studies the mean square exponential synchronization problem of a class of stochastic neutral type chaotic neural networks with mixed delay. On the Basis of Lyapunov stability theory, some sufficient conditions ensuring the mean square exponential synchronization of two identical chaotic neural networks are obtained by using stochastic analysis and inequality technique. These conditions are expressed in the form of linear matrix inequalities (LMIs), whose feasibility can be easily checked by using Matlab LMI Toolbox. The feedback controller used in this paper is more general than those used in previous literatures. One simulation example is presented to demonstrate the effectiveness of the derived results.

Keywords: Stochastic Analysis, Exponential synchronization, chaotic neural networks, neutral type system

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[1] T.L. Carroll, L.M. Pecora, Synchronization in chaotic systems, Phys. Rev. Lett 64 (1990) 821-824.
[2] T.L. Carroll, L.M. Pecora, Synchronizing chaotic circuits, IEEE Trans. Circ. Syst 38 (1991) 453-456.
[3] T. Li, S.M. Fei, K.J. Zhang, Synchronization control of recurrent neural networks with distributed delays, Physica A 387 (2008) 982-996.
[4] T. Liu, G. M. Dimirovskib, J. Zhao, Exponential synchronization of complex delayed dynamical networks with general topology, Physics Letters A 387 (2008) 643-652.
[5] X. Lou, B. Cui, Synchronization of neural networks based on parameter identification and via output or state coupling, Journal of Computational and Applied Mathematics (2007), doi:10.1016/
[6] Sheng L et al., Adaptive exponential synchronization of delayed ..., Chaos, Solitons, Fractals (2007), doi:10.1016/j.chaos.2007.08.047.
[7] Tao Li, Shu-Min Fei, Qing Zhu and Shen Cong, Exponential synchronization of chaotic neural networks with mixed delays, Neurocomputing (2008), doi:10.1016/j.neucom.2007.12.029.
[8] J. Yan, J. Lin, M. Hung, T. Liao, On the synchronization of neural networks containing time-varying delays and sector nonlinearity, Phys. Lett. A 361 (2007) 70-77.
[9] J.J. Yan, J.S. Lin,etc, On the synchronization of neural networks containing time-varying delays and sector nonlinearity, Physics Letters A 361 (2007) 70-77.
[10] Y.Q. Yang, J.D. Cao, Exponential lag synchronization of a class of chaotic delayed neural networks with impulsive effects, Physica A 386 (2007) 492-502.
[11] W. Yu, J. Cao, Adaptive synchronization and lag synchronization of uncertain dynamical system with time delay based on parameter identification, Phys. A 375 (2007) 467-482.
[12] Q. J, Zhang, J.A. Lu, Chaos synchronization of a new chaotic system via nonlinear control, Chaos, Solitons and Fractals 37 (2008) 175-179.
[13] H.G. Zhang, Y.H. Xie, Z.L. Wang, Adaptive synchronization between two different chaotic neural networks with time delay, IEEE Transaction on Neural Networks 18(2007) 1841-1845.