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This paper presents a method for the analysis of bilinear neural networks (BNNs) with time delay. A BNN system was proposed to analyze a weak nonlinear model. To analyze this system, we need to solve the equations for the system. In this paper, we propose a method that determines whether it is possible to solve the equations analytically. If this is possible, we propose a concrete method for solving them. This paper also presents new optimum curve fitting for data sampled at discrete times, such as data outputted from a sensor in a mobile phone, and a new BNN system for curve fitting. Moreover, this paper presents one example where the BNN system for curve fitting and other BNN systems are applied to the analysis of human motion.