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Synchronization control of recurrent neural networks with distributed delays

Author

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  • Li, Tao
  • Fei, Shu-min
  • Zhang, Kan-jian

Abstract

This paper deals with the synchronization problem of the recurrent neural networks with time-varying and distributed time-varying delays. Based on the drive–response concept, LMI approach and the Lyapunov stability theorem, a delay-dependent feedback controller is derived to achieve the exponential synchronization. The derivative of the time-varying delay being less than 1 is released and the activation functions are assumed to be of more general descriptions, which generalize and improve those earlier methods. Finally, two numerical examples are given to demonstrate the effectiveness of the presented synchronization scheme.

Suggested Citation

  • Li, Tao & Fei, Shu-min & Zhang, Kan-jian, 2008. "Synchronization control of recurrent neural networks with distributed delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(4), pages 982-996.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:4:p:982-996
    DOI: 10.1016/j.physa.2007.10.010
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    References listed on IDEAS

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    1. Li, Chuandong & Chen, Jinyu & Huang, Tingwen, 2007. "A new criterion for global robust stability of interval neural networks with discrete time delays," Chaos, Solitons & Fractals, Elsevier, vol. 31(3), pages 561-570.
    2. Yu, Wenwu & Cao, Jinde, 2007. "Synchronization control of stochastic delayed neural networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 373(C), pages 252-260.
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    4. Wang, Zidong & Shu, Huisheng & Liu, Yurong & Ho, Daniel W.C. & Liu, Xiaohui, 2006. "Robust stability analysis of generalized neural networks with discrete and distributed time delays," Chaos, Solitons & Fractals, Elsevier, vol. 30(4), pages 886-896.
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    Cited by:

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    5. Wang, Lingyu & Huang, Tingwen & Xiao, Qiang, 2018. "Global exponential synchronization of nonautonomous recurrent neural networks with time delays on time scales," Applied Mathematics and Computation, Elsevier, vol. 328(C), pages 263-275.
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