中国物理B ›› 2009, Vol. 18 ›› Issue (1): 76-83.doi: 10.1088/1674-1056/18/1/014

• GENERAL • 上一篇    下一篇

Adaptive synchronization in an array of asymmetric coupled neural networks

高明, 崔宝同   

  1. College of Communication and Control Engineering, Jiangnan University, Wuxi 214122, China
  • 收稿日期:2008-03-23 修回日期:2008-04-26 出版日期:2009-01-20 发布日期:2009-01-20
  • 基金资助:
    Project supported by National Natural Science Foundation of China (Grant No 60674026), the Jiangsu Provincial Natural Science Foundation of China (Grant No BK2007016) and Program for Innovative Research Team of Jiangnan University, China.

Adaptive synchronization in an array of asymmetric coupled neural networks

Gao Ming(高明)† and Cui Bao-Tong (崔宝同)‡   

  1. College of Communication and Control Engineering, Jiangnan University, Wuxi 214122, China
  • Received:2008-03-23 Revised:2008-04-26 Online:2009-01-20 Published:2009-01-20
  • Supported by:
    Project supported by National Natural Science Foundation of China (Grant No 60674026), the Jiangsu Provincial Natural Science Foundation of China (Grant No BK2007016) and Program for Innovative Research Team of Jiangnan University, China.

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摘要： This paper investigates the global synchronization in an array of linearly coupled neural networks with constant and delayed coupling. By a simple combination of adaptive control and linear feedback with the updated laws, some sufficient conditions are derived for global synchronization of the coupled neural networks. The coupling configuration matrix is assumed to be asymmetric, which is more coincident with the realistic network. It is shown that the approaches developed here extend and improve the earlier works. Finally, numerical simulations are presented to demonstrate the effectiveness of the theoretical results.

Abstract: This paper investigates the global synchronization in an array of linearly coupled neural networks with constant and delayed coupling. By a simple combination of adaptive control and linear feedback with the updated laws, some sufficient conditions are derived for global synchronization of the coupled neural networks. The coupling configuration matrix is assumed to be asymmetric, which is more coincident with the realistic network. It is shown that the approaches developed here extend and improve the earlier works. Finally, numerical simulations are presented to demonstrate the effectiveness of the theoretical results.

Key words: coupled neural networks, adaptive synchronization, Lyapunov functional, delayed coupling

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.45.Gg (Control of chaos, applications of chaos) 05.45.Pq (Numerical simulations of chaotic systems)