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International Journal of Systems Science Volume 39, 2008 - Issue 10
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Original Articles

Model selection approaches for non-linear system identification: a review

X. Hong School of Systems Engineering, University of Reading, Reading, UKCorrespondence[email protected]
,
R.J. Mitchell School of Systems Engineering, University of Reading, Reading, UK
,
S. Chen School of Electronics and Computer Science, University of Southampton, Southampton, UK
,
C.J. Harris School of Electronics and Computer Science, University of Southampton, Southampton, UK
,
K. Li School of Electronics, Electrical Engineering and Computer Science Queen's University Belfast, Belfast, UK
&
G.W. Irwin School of Electronics, Electrical Engineering and Computer Science Queen's University Belfast, Belfast, UK
Pages 925-946 | Received 28 Nov 2006, Accepted 06 Aug 2007, Published online: 17 Jul 2008

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Alexandro G. Brito, Elder M. Hemerly & Waldemar C. Leite Filho. (2014) On the Relation between NARX Clusters and Even/Odd Nonlinearities through Frequency-Domain Analysis. Mathematical Problems in Engineering 2014, pages 1-10.
Crossref
Emanuele Spiriti, Simone Morici & Luigi Piroddi. (2014) A gradient-free adaptation method for nonlinear active noise control. Journal of Sound and Vibration 333:1, pages 13-30.
Crossref
Er-wei Bai, Kang Li, Wenxiao Zhao & Weiyu Xu. (2014) Kernel based approaches to local nonlinear non-parametric variable selection. Automatica 50:1, pages 100-113.
Crossref
Er-wei Bai, Kang Li, Wenxiao Zhao & Weiyu Xu. (2013) Local variable selection and dimension determination of nonlinear non-parametric systems. Local variable selection and dimension determination of nonlinear non-parametric systems.
Long Zhang, Kang Li & Er-Wei Bai. (2013) A novel LOO based two-stage method for automatic model identification of a class of nonlinear dynamic systems. A novel LOO based two-stage method for automatic model identification of a class of nonlinear dynamic systems.
Quan Zhou, Shiji Song, Cheng Wu & Gao Huang. (2012) Kernelized LARS–LASSO for constructing radial basis function neural networks. Neural Computing and Applications 23:7-8, pages 1969-1976.
Crossref
Long Zhang, Kang Li & Er-Wei Bai. (2013) A New Extension of Newton Algorithm for Nonlinear System Modelling Using RBF Neural Networks. IEEE Transactions on Automatic Control 58:11, pages 2929-2933.
Crossref
Hanwen Ning, Xingjian Jing & Li Cheng. (2013) Identification of non‐linear stochastic spatiotemporal dynamical systems. IET Control Theory & Applications 7:17, pages 2069-2083.
Crossref
Lei Chen, Aditya Tulsyan, Biao Huang & Fei Liu. (2013) Multiple model approach to nonlinear system identification with an uncertain scheduling variable using EM algorithm. Journal of Process Control 23:10, pages 1480-1496.
Crossref
B. Zhang, Z.Q. Lang, S.A. Billings, G.R. Tomlinson & J.A. Rongong. (2013) System identification methods for metal rubber devices. Mechanical Systems and Signal Processing 39:1-2, pages 207-226.
Crossref
Stephen A Billings. 2013. Nonlinear System Identification. Nonlinear System Identification 61 104 .
Hao Chen, Yu Gong & Xia Hong. (2013) Online Modeling With Tunable RBF Network. IEEE Transactions on Cybernetics 43:3, pages 935-947.
Crossref
Wenxiao Zhao, Han-Fu Chen, Er-Wei Bai & Kang Li. (2013) A local information criterion for order identification of nonlinear ARX systems. A local information criterion for order identification of nonlinear ARX systems.
Theodore W. Cornforth & Hod Lipson. (2012) Inference of hidden variables in systems of differential equations with genetic programming. Genetic Programming and Evolvable Machines 14:2, pages 155-190.
Crossref
Jing Deng, Kang Li, George W Irwin & Minrui Fei. (2011) Two-stage RBF network construction based on particle swarm optimization. Transactions of the Institute of Measurement and Control 35:1, pages 25-33.
Crossref
Dajun Du, Kang Li, George W. Irwin & Jing Deng. (2013) A novel automatic two-stage locally regularized classifier construction method using the extreme learning machine. Neurocomputing 102, pages 10-22.
Crossref
Dongqing Wang, Feng Ding & Yanyun Chu. (2013) Data filtering based recursive least squares algorithm for Hammerstein systems using the key-term separation principle. Information Sciences 222, pages 203-212.
Crossref
Dajun Du, Xue Li, Minrui Fei & George W. Irwin. (2012) A novel locally regularized automatic construction method for RBF neural models. Neurocomputing 98, pages 4-11.
Crossref
S Laflamme, J-J E Slotine & J J Connor. (2012) Self-organizing input space for control of structures. Smart Materials and Structures 21:11, pages 115015.
Crossref
Luigi Piroddi, Marcello Farina & Marco Lovera. (2012) Black box model identification of nonlinear input–output models: A Wiener–Hammerstein benchmark. Control Engineering Practice 20:11, pages 1109-1118.
Crossref
Christian Kühnert, Lutz Gröll, Michael Heizmann, Markus Reischl & Ralf Mikut. (2012) Methoden zur datengetriebenen Formulierung und Visualisierung von Kausalitätshypothesen. auto 60:10, pages 630-640.
Crossref
Hua Yang, Shaoyuan Li & Kang Li. (2012) Order estimation of multivariable ill-conditioned processes based on PCA method. Journal of Process Control 22:7, pages 1397-1403.
Crossref
Long Zhang, Kang Li, Er-Wei Bai & Shu-Juan Wang. (2012) A Novel Two-Stage Classical Gram-Schmidt Algorithm for Wavelet Network Construction. IFAC Proceedings Volumes 45:16, pages 644-649.
Crossref
Kang Li, Guang-Bin Huang & Shuzhi Sam Ge. 2012. Handbook of Natural Computing. Handbook of Natural Computing 507 531 .
X. Hong, S. Chen & C. J. Harris. 2012. System Identification, Environmental Modelling, and Control System Design. System Identification, Environmental Modelling, and Control System Design 251 270 .
Chenkun Qi, Han-Xiong Li, Xianchao Zhao, Shaoyuan Li & Feng Gao. (2011) Hammerstein Modeling with Structure Identification for Multi-input Multi-output Nonlinear Industrial Processes. Industrial & Engineering Chemistry Research 50:19, pages 11153-11169.
Crossref
Jing Deng, Kang Li & George W. Irwin. (2011) Fast automatic two-stage nonlinear model identification based on the extreme learning machine. Neurocomputing 74:16, pages 2422-2429.
Crossref
Chamil Abeykoon, Kang Li, Peter J. Martin & Adrian L. Kelly. (2011) Modelling of melt pressure development in polymer extrusion: Effects of process settings and screw geometry. Modelling of melt pressure development in polymer extrusion: Effects of process settings and screw geometry.
Ruili Dong & Yonghong Tan. (2011) On-line identification algorithm and convergence analysis for sandwich systems with backlash. International Journal of Control, Automation and Systems 9:3, pages 588-594.
Crossref
Rattanasin Tanjad & Sarawan Wongsa. (2011) Model structure selection strategy for Wiener model identification with piecewise linearisation. Model structure selection strategy for Wiener model identification with piecewise linearisation.
G.G. Rodrigues, L.A. Aguirre, A. Cuvelier, J.-F. Muir & C. Letellier. (2011) Global models for patient–ventilator interactions in noninvasive ventilation with asynchronies. Computers in Biology and Medicine 41:5, pages 253-264.
Crossref
Yu Cheng, Lan Wang & Jinglu Hu. (2011) A two‐step scheme for polynomial NARX model identification based on MOEA with prescreening process. IEEJ Transactions on Electrical and Electronic Engineering 6:3, pages 253-259.
Crossref
A. Castelletti, S. Galelli, M. Restelli & R. Soncini-Sessa. (2011) Dynamic emulation modelling of a 1D hydrodynamic-ecological model: Tono Dam case study. IFAC Proceedings Volumes 44:1, pages 14170-14175.
Crossref
Bruno O.S. Teixeira & Luis A. Aguirre. (2011) Using uncertain prior knowledge to improve identified nonlinear dynamic models. Journal of Process Control 21:1, pages 82-91.
Crossref
Jing Deng, Kang Li, George W. Irwin & Robert F Harrison. (2010) A fast automatic construction algorithm for kernel fisher discriminant classifiers. A fast automatic construction algorithm for kernel fisher discriminant classifiers.
C. Cantelmo & L. Piroddi. (2010) Adaptive model selection for polynomial NARX models. IET Control Theory & Applications 4:12, pages 2693-2706.
Crossref
Luis A. Aguirre, Bruno H.G. Barbosa & Antônio P. Braga. (2010) Prediction and simulation errors in parameter estimation for nonlinear systems. Mechanical Systems and Signal Processing 24:8, pages 2855-2867.
Crossref
Yuan Lan, Yeng Chai Soh & Guang-Bin Huang. (2010) Two-stage extreme learning machine for regression. Neurocomputing 73:16-18, pages 3028-3038.
Crossref
Jing Deng, Kang Li & George W. Irwin. (2010) A two-stage algorithm for automatic construction of RBF neural models. A two-stage algorithm for automatic construction of RBF neural models.
Kyandoghere Kyamakya, Abdelhamid Bouchachia & Jean C. ChedjouAbdelhamid Bouchachia. 2010. Intelligence for Nonlinear Dynamics and Synchronisation. Intelligence for Nonlinear Dynamics and Synchronisation 3 20 .
Kang Li, Padhraig Gormley & Shiji Song. (2009) Application of l<inf>&#x03C1;</inf> norm regularization methods for modelling biological systems. Application of l<inf>&#x03C1;</inf> norm regularization methods for modelling biological systems.
Christophe Letellier, Luis A. Aguirre & U. S. Freitas. (2009) Frequently asked questions about global modeling. Chaos: An Interdisciplinary Journal of Nonlinear Science 19:2.
Crossref
S. Chen, X. Hong, B.L. Luk & C.J. Harris. (2009) Orthogonal-least-squares regression: A unified approach for data modelling. Neurocomputing 72:10-12, pages 2670-2681.
Crossref
Dajun Du, Kang li, Minrui Fei & George W. Irwin. (2009) Automatic Forward Model Selection Based on Leave-One-Out Cross-Validation. IFAC Proceedings Volumes 42:10, pages 874-879.
Crossref
Luis A. Aguirre & Christophe Letellier. (2009) Modeling Nonlinear Dynamics and Chaos: A Review. Mathematical Problems in Engineering 2009, pages 1-35.
Crossref

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