Global exponential synchronization of fuzzy cellular neural networks with delays and reaction–diffusion terms

Neurocomputing - Tập 74 - Trang 509-515 - 2011
Fang Yu1, Haijun Jiang1
1College of Mathematics and System Sciences, Xinjiang University, Urumqi, Xinjiang, 830046, P.R. China

Tài liệu tham khảo

Zhou, 2004 Hagan, 2002 Pecora, 1990, Synchronization in chaotic systems, Phys. Rev. Lett., 64, 821, 10.1103/PhysRevLett.64.821 Carroll, 1991, IEEE Trans. Circuits Syst. I, 38, 453, 10.1109/31.75404 Pecora, 1997, Fundamentals of synchronization in chaotic system, concepts and applications, Chaos, 7, 520, 10.1063/1.166278 Kapitaniak, 1996, Monotone synchronization of chaos, Int. J. Bifur. Chaos, 6, 211, 10.1142/S021812749600196X Grassi, 1997, Nonlinear observer design to synchronize hyperchaotic systems via a scalar signal, IEEE Trans. Circ. Syst. I, 44, 1011, 10.1109/81.633891 Suykens, 1998, Impulsive synchronization of chaotic systems by measurement feedback, Int. J. Bifur. Chaos, 8, 1371, 10.1142/S0218127498001078 Grassi, 1999, Synchronizing high dimensional chaotic systems via eigenvalue placement with application to cellar neural networks, Int. J. Bifur. Chaos, 9, 705, 10.1142/S0218127499000493 Liao, 1999, Adaptive control and sychronization of Lorenz system, J. Franklin Inst., 336, 925, 10.1016/S0016-0032(99)00010-1 Ushio, 1999, Synthesis of synchronized chaotic systems based on observers, Int. J. Bifur. Chaos, 9, 541, 10.1142/S0218127499000377 Bai, 2000, Sequential synchronization of two Lorenz system using active control, Chaos Solitons Fractals, 11, 1041, 10.1016/S0960-0779(98)00328-2 Yang, 2007, Exponential lag synchronization of a class of chaotic delayed neural networks with implusive effects, Physica A, 373, 261, 10.1016/j.physa.2006.05.029 Lu, 2007, Adaptive coupled synchronization among multi-Lorenz systems family, Chaos Solitons Fractals, 31, 866, 10.1016/j.chaos.2005.10.034 Nikola, 2007, Global stability of synchronization between delay differential systems with generalized diffusive coupling, Chaos Solitons Fractals, 31, 336, 10.1016/j.chaos.2005.09.066 Liu, 2002, Alinear feedback synchronization theorem for a class of chaotic systems, Chaos Solitons Fractals, 13, 723, 10.1016/S0960-0779(01)00011-X Hegazi, 2002, Adative synchronization for Rossler and Chua's circuit systems, Int. J. Bifur. Chaos, 12, 1579, 10.1142/S0218127402005388 T. Yang, L.B. Yang, C.W. Wu, L.O. Chua, Fuzzy celluar neural networks: theory, in: Proceedings of IEEE International Workshop on Cellular Neural Networks and Applications, 1996, pp. 181–186. T. Yang, L.B. Yang, C.W. Wu, L.O. Chua, Fuzzy celluar neural networks: applications, in: Proceedings of IEEE International Workshop on Cellular Neural Networks and Applications, 1996, pp. 225–230. Wang, 2007, Synchronization of a class of delayed neural networks with reaction–diffusion terms, Phys. Lett. A, 369, 201, 10.1016/j.physleta.2007.04.079 Sheng, 2009, Adaptive exponential synchronization of delayed neural networks with reaction–diffusion terms, Chaos Solitions Fractals, 40, 930, 10.1016/j.chaos.2007.08.047 Lu, 2008, Global exponential stability and periodicity of reaction–diffusion delayed recurrent neural networks with Dirichlet boundary conditions, Chaos Solitions Fractals, 35, 116, 10.1016/j.chaos.2007.05.002 Wang, 2006, Global exponential robust stability of reaction–diffusion interval neural networks with time-varying delays, Phys. Lett. A, 350, 342, 10.1016/j.physleta.2005.10.031 J.G. Lu, Global exponential stability and periodicity of reaction-diffusion delayed recurrent neural networks with Dirichlet boundary conditions, Chaos, Solitons Fractals 35 (2008) 116–125 K. Wang, Z. Teng, H. Jiang, Global exponential synchronization in delayed reaction-diffusion cellular neural networks with the Dirichlet boundary conditions, Math. Comput. Modelling 52 (2010) 12–24 Y. Zhang, Z. He, A secure communication scheme based on cellular neural networks, in: IEEE International conference on Intelligence in Process Systems, vol. 1, 1997, pp. 521–524. Feki, 2003, An adaptive chaos synchronization scheme applied to secure communication, Chaos Solitions Fractals, 18, 141, 10.1016/S0960-0779(02)00585-4 Khadra, 2003, Application of impulsive synchronization to communication security, IEEE Trans. Circuits Syst. I, 50, 341, 10.1109/TCSI.2003.808839