变量带误差系统的递推辨识:从线性到非线性系统

陈翰馥,牟必强

系统科学与数学 ›› 2012, Vol. 32 ›› Issue (10) : 1180-1192.

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系统科学与数学 ›› 2012, Vol. 32 ›› Issue (10) : 1180-1192. DOI: 10.12341/jssms11939
论文

变量带误差系统的递推辨识:从线性到非线性系统

    陈翰馥,牟必强
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RECURSIVE IDENTIFICATION FOR ERRORS-IN-VARIABLES SYSTEMS: FROM LINEAR TO NONLINEAR SYSTEMS

    CHEN Han-Fu, MU Biqiang
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摘要

介绍变量带误差(EIV)系统的递推辨识方法.在引言中扼要介绍了EIV系统辨识的现状后,分别对多变量线性EIV系统及EIV Hammerstein 系统给出了递推辨识算法,并给出条件使这些估计以概率1收敛到真值.最后提出了一些值得进一步研究的问题.

Abstract

The recursive identification methods for errors-in-variables (EIV) systems are described in the paper. After briefly introducing the current status of  dentification for EIV systems, the recursive identification algorithms for the multivariate linear EIV system as well as for the EIV Hammerstein system are presented. The conditions guaranteeing the strong consistency of the estimates given by the algorithms are demonstrated. Finally, some remarks on problems for future research are pointed out.

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陈翰馥,牟必强. 变量带误差系统的递推辨识:从线性到非线性系统. 系统科学与数学, 2012, 32(10): 1180-1192. https://doi.org/10.12341/jssms11939
CHEN Han-Fu, MU Biqiang. RECURSIVE IDENTIFICATION FOR ERRORS-IN-VARIABLES SYSTEMS: FROM LINEAR TO NONLINEAR SYSTEMS. Journal of Systems Science and Mathematical Sciences, 2012, 32(10): 1180-1192 https://doi.org/10.12341/jssms11939
中图分类号: 93B30    93E12   
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