Asymptotic local test for linearity in adaptive control

DOI10.1016/S0167-7152(01)00116-XzbMath0999.62035OpenAlexW1984102470MaRDI QIDQ5953889

Jean-Michel Poggi, Bruno Portier

Publication date: 3 December 2002

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-7152(01)00116-x

zbMATH Keywords

kernel estimationdiscrete-time stochastic nonlinear systemlocal least squares estimatortest for linearity

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Adaptive control/observation systems (93C40)

Cites Work

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• Testing linearity for NARX models
• On estimation of a class of nonlinear systems by the kernel regression estimate
• Nonparametric system identification by kernel methods
• Nonparametric identification of Hammerstein systems
• Nonparametric identification of Wiener systems
• A Test of Linearity for Functional Autoregressive Models
• Nonparametric Estimation and Adaptive Control of Functional Autoregressive Models
• Nonlinear Adaptive Tracking Using Kernel Estimators: Estimation and Test for Linearity

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