Nonlinear Scientific Research Center, Jiangsu University, Zhenjiang, Jiangsu 212013, China

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Abstract—The main objective of this paper is further to investigate the adaptive projective synchronization problem for an array of coupled dynamical neural networks with both linear and nonlinear time-varying delays. Based on the Lyapunov stability theory, by using the technique of Young inequality, some inclusive results for the adaptive projective synchronization of the coupling networks are derived analytically. It is shown that under the controllers of this paper, the neural network will achieve adaptive projective synchronization for any coupling delays as long as the coupling strength is strong enough. Numerical simulations are shown to illustrate the effectiveness of these controllers.

Index Terms—Neural networks, adaptive projective synchronization, time-varying delays, topology.

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Cite: Guoliang Cai, Qin Yao , Xinghua Fan, Juan Ding, "Adaptive Projective Synchronization in An Array of Asymmetric Neural Networks," Journal of Computers vol. 7, no. 8, pp. 2024-2030, 2012.