Pathwise convergence of recursive identification algorithms for Hammerstein systems

doi:10.1109/tac.2004.835358

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	Pathwise convergence of recursive identification algorithms for Hammerstein systems
	Chen, HF
	2004-10-01
发表期刊	IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN	0018-9286
卷号	49 期号:10 页码:1641-1649
摘要	This paper gives estimates for: 1) coefficients contained in the linear part of the Hammerstein system; 2) the value of the nonlinear function f(u) in the Hammerstein system at any u; 3) Ef (u(k)) and Eu(k)f(U-k) with u(k) denoting the system input. No assumption is made on structure of f (.). The estimates given by the stochastic approximation algorithms with expanding truncations are recursive and convergent to the true values with probability one. Two numerical examples are given.
关键词	Hammerstein system nonparametric nonlinearity recursive estimate stochastic approximation strong consistency
DOI	10.1109/tac.2004.835358
语种	英语
WOS研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000224350000003
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19257
专题	系统科学研究所
通讯作者	Chen, HF
作者单位	Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, HF. Pathwise convergence of recursive identification algorithms for Hammerstein systems[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2004,49(10):1641-1649.
APA	Chen, HF.(2004).Pathwise convergence of recursive identification algorithms for Hammerstein systems.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,49(10),1641-1649.
MLA	Chen, HF."Pathwise convergence of recursive identification algorithms for Hammerstein systems".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 49.10(2004):1641-1649.