CALCULATION OF THE VOLTERRA KERNELS OF NONLINEAR DYNAMIC-SYSTEMS USING AN ARTIFICIAL NEURAL-NETWORK

被引:105
作者
WRAY, J [1 ]
GREEN, GGR [1 ]
机构
[1] MED SCH NEWCASTLE UPON TYNE,DEPT PHYSIOL SCI,NEWCASTLE TYNE NE2 4HH,ENGLAND
关键词
D O I
10.1007/BF00202758
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
The Volterra series is a well-known method of describing non-linear dynamic systems. A major limitation of this technique is the difficulty involved in the calculation of the kernels. More recently, artificial neural networks have been used to produce black box models of non-linear dynamic systems. In this paper we show how a certain class of artificial neural networks are equivalent to Volterra series and give the equation for the nth order Volterra kernel in terms of the internal parameters of the network. The technique is then illustrated using a specific non-linear system. The kernels obtained by the method described in the paper are compared with those obtained by a Toeplitz matrix inversion technique.
引用
收藏
页码:187 / 195
页数:9
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