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

Discussion of stability in a class of models on recurrent wavelet neural networks
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摘要 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. 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.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2007年第4期471-476,共6页 应用数学和力学(英文版)
关键词 recurrent wavelet neural networks asymptotic stability nonlinear dynamic system Lyapunov function recurrent wavelet neural networks, asymptotic stability, nonlinear dynamic system, Lyapunov function
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