Adaptive projective synchronization in an array of asymmetric neural networks

作者：Cai Guoliang^*; Yao Qin; Fan Xinghua; Ding Juan

来源：Journal of Computers, 2012, 7(8): 2024-2030.

DOI：10.4304/jcp.7.8.2024-2030

• Asymmetric neural networks
• Coupling delays
• Coupling network
• Coupling strengths
• Dynamical neural networks
• Lyapunov stability theory
• Projective synchronization
• Time-varying delay
• Young inequality

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.

• 出版日期2012