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Applied Mathematics and Mechanics (English Edition) ›› 2007, Vol. 28 ›› Issue (4): 471-476 .doi: https://doi.org/10.1007/s10483-007-0407-z

• 论文 • 上一篇    下一篇

Discussion of stability in a class of models on recurrent wavelet neural networks

邓韧, 李著信, 樊友洪   

  • 收稿日期:2005-01-20 修回日期:2006-10-26 出版日期:2007-04-18 发布日期:2007-04-18
  • 通讯作者: 李著信

Discussion of stability in a class of models on recurrent wavelet neural networks

DENG Ren, LI Zhu-xin, FAN You-hong   

  1. Logistic Engineering University, Chongqing 400016, P. R. China
  • Received:2005-01-20 Revised:2006-10-26 Online:2007-04-18 Published:2007-04-18
  • Contact: LI Zhu-xin

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Abstract: Based on wavelet neural networks (WNNs) and recurrent neural networks (RNNs), a class of models on recurrent wavelet neural networks (RWNNs) is proposed. The new networks possess the advantages of WNNs and RNNs. In this paper, asymptotic stability of RWNNs is researched according to the Lyapunov theorem, and some theorems and formulae are given. The simulation results show the excellent performance of the networks in nonlinear dynamic system recognition.

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