非线性动态网络的离散算法及仿真

A Kind of Discrete Algorithm and Its Simulation for Nonlinear Dynamic Network

在非线性网络响应分析中,采用Volterra级数法可以导出与线性系统传递函数相似的非线性传递函数,能使非线性系统用线性化和系统化方法达到精确分析.文中给出了非线性网络响应的Volterra级数解的连续算式,为解决连续算式计算麻烦的问题,提出用方波脉冲技术处理用Volterra级数表示法描述的非线性网络响应与激励之间关系的一组广义卷积积分的迭加计算,从而得到非线性网络响应求解的Volterra级数解的离散算式.仿真表明该算法求出的非线性网络响应与真实模型曲线十分逼近,证明了它的有效性.

In analysis of nonlinear network responses,Volterra Series can be used to educe the nonlinear transfer function similar to the transfer function of linear systems. Via utilizing the nonlinear transfer function, it can make precision analysis for nonlinear system by using the methods of linearization and systematization. A set of continuous calculaling formulae of nonlinear network responses was proposed based on the solutions of Volterra Series. In order to solve the problem of computing the continuous formulae,the block-pulse function transform was adopted to deal with the repeatedly computation of a set Of generalized convolution integral which described the relationship between the nonlinear network response and its input by using Volterra series. This method could result in a set of discrete calculating formulae which could be used to obtain the response of nonlinear network based on the solutions of Volterra series. The results of simulation showed that the curve of nonlinear network response produced by this algorithm was very closed to the curve of the real model and proved the availability of the method.