中国物理B ›› 2008, Vol. 17 ›› Issue (2): 520-528.doi: 10.1088/1674-1056/17/2/029

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Robust adaptive synchronization of chaotic neural networks by slide technique

崔宝同1, 楼旭阳2   

  1. (1)College of Communication and Control Engineering, Jiangnan University, Wuxi 214122, China; (2)College of Communication and Control Engineering, Jiangnan University, Wuxi 214122, China;CSIRO Division of Mathematical and Information Sciences, University of Adelaide, Urrbrae 5064, Australia
  • 收稿日期:2007-05-01 修回日期:2007-09-03 出版日期:2008-02-20 发布日期:2008-02-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 60674026), the Key Project of Chinese Ministry of Education (Grant No 107058), the Jiangsu Provincial Natural Science Foundation of China (Grant No BK2007016) and the Jiangsu Provincial Program for Postgraduate Scientific Innovative Research of Jiangnan University (Grant No CX07B$_-$116z).

Robust adaptive synchronization of chaotic neural networks by slide technique

Lou Xu-Yang(楼旭阳)a)b)† and Cui Bao-Tong(崔宝同)a)‡   

  1. a College of Communication and Control Engineering, Jiangnan University, Wuxi 214122, China; b CSIRO Division of Mathematical and Information Sciences, University of Adelaide, Urrbrae 5064, Australia
  • Received:2007-05-01 Revised:2007-09-03 Online:2008-02-20 Published:2008-02-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 60674026), the Key Project of Chinese Ministry of Education (Grant No 107058), the Jiangsu Provincial Natural Science Foundation of China (Grant No BK2007016) and the Jiangsu Provincial Program for Postgraduate Scientific Innovative Research of Jiangnan University (Grant No CX07B$_-$116z).

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摘要： In this paper, we focus on the robust adaptive synchronization between two coupled chaotic neural networks with all the parameters unknown and time-varying delay. In order to increase the robustness of the two coupled neural networks, the key idea is that a sliding-mode-type controller is employed. Moreover, without the estimate values of the network unknown parameters taken as an updating object, a new updating object is introduced in the constructing of controller. Using the proposed controller, without any requirements for the boundedness, monotonicity and differentiability of activation functions, and symmetry of connections, the two coupled chaotic neural networks can achieve global robust synchronization no matter what their initial states are. Finally, the numerical simulation validates the effectiveness and feasibility of the proposed technique.

关键词: robust adaptive synchronization, slide technique, chaotic neural networks, time-varying delay

Abstract: In this paper, we focus on the robust adaptive synchronization between two coupled chaotic neural networks with all the parameters unknown and time-varying delay. In order to increase the robustness of the two coupled neural networks, the key idea is that a sliding-mode-type controller is employed. Moreover, without the estimate values of the network unknown parameters taken as an updating object, a new updating object is introduced in the constructing of controller. Using the proposed controller, without any requirements for the boundedness, monotonicity and differentiability of activation functions, and symmetry of connections, the two coupled chaotic neural networks can achieve global robust synchronization no matter what their initial states are. Finally, the numerical simulation validates the effectiveness and feasibility of the proposed technique.

Key words: robust adaptive synchronization, slide technique, chaotic neural networks, time-varying delay

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.45.Gg (Control of chaos, applications of chaos) 07.05.Mh (Neural networks, fuzzy logic, artificial intelligence) 05.45.Pq (Numerical simulations of chaotic systems)