针对输人偷出均为连续时间函数的非线性系统信号处理和建模问题,提出了一种连续过程神经元和过程神经元网络模型.连续过程神经元的输人/输出均为连续时间函数,其时空聚合运算能同时反映连续时变输人信号的空间聚合作用和输人过程中的时间累积效应,可实现输人/输出之间非线性实时或若干时间单元延迟的映射关系.文中给出了一种输人输出均为连续时间函数的前馈过程神经元网络模型,并证明了相应的连续性,函数逼近能力和计算能力等性质定理.
Aim at the problems that the inputs and outputs of some practical nonlinear systems are Continuous time signals, we brought forward a Continuous process neuron and process neural networks model. The input and output of the defined process neuron are Continuous time functions, and the space-time aggregation operation can reflect the space aggregation of the input signals and the time cumulative effect in the process of input at the same time,and can also realize the nonlinear real-time mapping between the input and output. A Continuous feedforward process neural networks model is given in this paper, and the corresponding property theorems are also proved, including continuity ,function approximation ability and computational capacity.