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This paper discusses and puts forward the necessary conditions for basic series and parallel models for nonlinear systems, using Volterra theory and Wiener theory and by means of correlation analysis. These conditions constitute an important judgement for the identification of a large class of nonlinear"block-box"systems. An example of computer simulated calculation is also given 本文基于Volterra理论和Wiener理论,利用相关分析法,研究并给出了构成基本串联与并联非线性系统结构模型的必要条件,它们能够为辩识一大类可以表示成这些模型和"黑箱"非线性系统提供一种重要的判别依据。文中还给出了计算机模拟算例。 In this paper, we discuss systematically the calculating method of the Volterra kernels andWiener kernels of continuous and discrete time - invariant general model with PertUrbation, andgives the calculation and simulation results by means of VOlterra theory and Wiener theory. 基于Volterra理论和Wiener理论,较为系统地研究了连续与离散时不变一般模型及其在有外部扰动情况下的Volterra核和Wiener核的计算方法,并给出计算结果与数值模拟算例。 In this paper the authors discuss and put forward the necessary conditions for basic series and parallel models for nonlinear systems by means of Volterra theory,Wiener theory and correlation, these conditions can give a kind of important criterion for the identification of a large class of nonlinear"black--box"systems which can be expressed as those models. 在Volterra理论和Wiener理论的基础上,利用相关分析方法,研究并给出了构成基本串联与并联非线性系统结构模型的必要条件,它们能够为辩识一大类可表示成这些模型的“黑箱”非线性系统提供一种重要的判别依据.文中还给出了计算机模拟算例.
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