REPRESENTATIONS OF NON-LINEAR SYSTEMS - THE NARMAX MODEL
REPRESENTATIONS OF NON-LINEAR SYSTEMS - THE NARMAX MODEL
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DOI：
10.1080/00207178908559683
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发表时间：
1989-03-01
影响因子：
2.1
通讯作者：
BILLINGS, SA
中科院分区：
文献类型：
--
作者：
CHEN, S;BILLINGS, SA
讨论了非线性离散时间系统的输入输出表示。结果表明，具有外生输入的非线性自回归滑动平均(NARMAX)模型是非线性系统的一种普遍而自然的表示，它包含了几个已有的非线性模型作为特例。文中还讨论了非线性输入输出系统的逼近问题，并用简单的例子突出了非线性模型的几个性质。
Input-output representations of non-linear discrete-time systems are discussed. It is shown that the NARMAX (Non-linear AutoRegressive Moving Average with eXogenous inputs) model is a general and natural representation of non-linear systems and contains, as special cases, several existing non-linear models. The problem of approximating non-linear input-output systems is also addressed and several properties of non-linear models are highlighted using simple examples.