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International Journal of Systems Science Volume 25, 1994 - Issue 1
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Original Articles

Cascade non-linear system identification by a non-parametric method

WLODZIMIERZ GREBLICKI Institute of Engineering Cybernetics, Technical University of Wroclaw, Wroclaw, Poland
&
MIROSLAW PAWLAK Institute of Engineering Cybernetics, Technical University of Wroclaw, Wroclaw, Poland
Pages 129-153 | Received 09 Apr 1992, Published online: 16 May 2007

Citations (19)

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Read on this site (2)

Zygmunt Hasiewicz & Grzegorz Mzyk. (2009) Hammerstein system identification by non-parametric instrumental variables. International Journal of Control 82:3, pages 440-455.
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Z. Hasiewicz & P. ŚliwiŃski. (2002) Identification of non-linear characteristics of a class of block-oriented non-linear systems via Daubechies wavelet-based models. International Journal of Systems Science 33:14, pages 1121-1144.
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Articles from other publishers (17)

Tsair‐Chuan Lin & Kainam Thomas Wong. (2021) Hammerstein system with a stochastic input of arbitrary/unknown autocorrelation – nonparametric estimator of the static nonlinear subsystem. IET Signal Processing 15:5, pages 301-313.
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Tsair‐Chuan Lin & Kainam Thomas Wong. (2021) Hammerstein system with a stochastic input of arbitrary/unknown autocorrelation: Identification of the dynamic linear subsystem. IET Signal Processing 15:5, pages 291-300.
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Wenquan Cui & Meng Wei. (2013) Strong Consistency of Kernel Regression Estimate. Open Journal of Statistics 03:03, pages 179-182.
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Grzegorz Mzyk. (2012) Fast model order selection of the nonlinearity in hammerstein systems. Fast model order selection of the nonlinearity in hammerstein systems.
G. Mzyk. (2009) Nonlinearity Recovering in Hammerstein System from Short Measurement Sequence. IEEE Signal Processing Letters 16:9, pages 762-765.
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Włodzimierz Greblicki & Grzegorz Mzyk. (2009) Semiparametric Approach to Hammerstein System Identification. IFAC Proceedings Volumes 42:10, pages 1680-1685.
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Grzegorz Mzyk. (2007) A Censored Sample Mean Approach to Nonparametric Identification of Nonlinearities in Wiener Systems. IEEE Transactions on Circuits and Systems II: Express Briefs 54:10, pages 897-901.
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Grzegorz Mzyk. (2007) Generalized Kernel Regression Estimate for the Identification of Hammerstein Systems. International Journal of Applied Mathematics and Computer Science 17:2, pages 189-197.
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Z. Hasiewicz & G. Mzyk. (2004) Combined Parametric–Nonparametric Identification of Hammerstein Systems. IEEE Transactions on Automatic Control 49:8, pages 1370-1375.
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S. Sandilya & R. Kulkami. (2001) Nonparametric control algorithms for nonlinear fading memory systems. IEEE Transactions on Automatic Control 46:7, pages 1117-1121.
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Zygmunt Hasiewicz. (2001) Non-parametric estimation of non-linearity in a cascade time-series system by multiscale approximation. Signal Processing 81:4, pages 791-807.
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Z. Hasiewicz. (2000) Modular neural networks for non-linearity recovering by the Haar approximation. Neural Networks 13:10, pages 1107-1133.
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W. Greblicki. (2000) Continuous-time Hammerstein system identification. IEEE Transactions on Automatic Control 45:6, pages 1232-1236.
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M. Pawlak, R.K. Pearson, B.A. Ogunnaike & F.J. DoyleIIIIII. (2000) Nonparametric Identification of Generalized Hammerstein Models. IFAC Proceedings Volumes 33:15, pages 953-958.
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Zygmunt Hasiewicz. (1999) Hammerstein system identification by the Haar multiresolution approximation. International Journal of Adaptive Control and Signal Processing 13:8, pages 691-717.
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M. Pawlak & Z. Hasiewicz. (1998) Nonlinear system identification by the Haar multiresolution analysis. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 45:9, pages 945-961.
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W. Greblicki. (1996) Nonlinearity estimation in Hammerstein systems based on ordered observations. IEEE Transactions on Signal Processing 44:5, pages 1224-1233.
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