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多层反馈ＢＰ网络是一种非线性动力学系统。为了对多层反馈ＢＰ网络进行形式分析，作者采用了电路类比的方式得到了它的数学模型。根据反馈ＢＰ网络的数学模型证明了反馈ＢＰ网络联想记忆过程的稳定性及有关性质，为反馈ＢＰ网络的应用奠定了理论基础。
Multi-layer feedback BP network is a nonlinear dynamic system. In order to analyze the multi-layer feedback BP network formally, the author uses the circuit analogy to get its mathematical model. According to the mathematical model of feedback BP network, the stability and related properties of the associative memory process in the feedback BP network are proved, which lays a theoretical foundation for the application of the feedback BP network.