The DOI matches its Crossref record; 31 of the 31 references it cites were found in a registry or an index.
Identification of Hammerstein–Wiener models
Open accessAbstract
This paper develops and illustrates a new maximum-likelihood based method for the identification of Hammerstein-Wiener model structures. A central aspect is that a very general situation is considered wherein multivariable data, non-invertible Hammerstein and Wiener nonlinearities, and colored stochastic disturbances both before and after the Wiener nonlinearity are all catered for. The method developed here addresses the blind Wiener estimation problem as a special case.
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Cites
Maximum Likelihood from Incomplete Data Via the EM Algorithm
Dempster, A. P., Laird, N. M., & Rubin, D. B. (1977) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1977.tb01600.x · Cited by 50,444
System Identification: Theory for the User
Lennart Ljung, A. (1987) · Cited by 17,690
A tutorial on particle filters for online nonlinear/non-Gaussian Bayesian tracking
Arulampalam, M. S., Maskell, S., Gordon, N., & Clapp, T. (2002) · IEEE Transactions on Signal Processing · doi:10.1109/78.978374 · Cited by 11,502
System identification—Theory for the user
Sinha, N. K. (1989) · Automatica · doi:10.1016/0005-1098(89)90019-8 · Cited by 9,184
Numerical Methods for Unconstrained Optimization and Nonlinear Equations
Dennis, J. E., & Schnabel, R. B. (1996) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9781611971200 · Cited by 7,615
Sequential Monte Carlo Methods in Practice
(2001) · Springer eBooks · doi:10.1007/978-1-4757-3437-9 · Cited by 7,366
The EM Algorithm and Extensions
Kushary, D. (1998) · Technometrics · doi:10.1080/00401706.1998.10485534 · Cited by 5,417
Beyond the Kalman filter particle filters for tracking applications
Ristić, B., Arulampalam, S., & Gordon, N. (2004) · Cited by 3,372
The Volterra and Wiener Theories of Nonlinear Systems
Schetzen, M. (1980) · Medical Entomology and Zoology · Cited by 2,384
Subspace identification for linear systems: theory, implementation, applications
Overschee, P. V., & Moor, B. L. R. D. (1996) · CERN Document Server (European Organization for Nuclear Research) · Cited by 2,271
A Tutorial on Particle Filtering and Smoothing: Fifteen years later
Arnaud Doucet, B., & Johansen, A. M. (2008) · Cited by 1,449
An iterative method for the identification of nonlinear systems using a Hammerstein model
Narendra, K., & Gallman, P. (1966) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1966.1098387 · Cited by 699
(2005) · Lecture Notes in Control and Information Sciences · doi:10.1007/bfb0005213 · Cited by 674
Block-oriented Nonlinear System Identification
(2010) · Lecture Notes in Control and Information Sciences · doi:10.1007/978-1-84996-513-2 · Cited by 608
Numerical Methods for Unconstrained Optimization and Nonlinear Equations.
Kass, R. E., Dennis, J. E., & Schnabel, R. B. (1985) · Journal of the American Statistical Association · doi:10.2307/2288097 · Cited by 602
System identification of nonlinear state-space models
Schön, T. B., Wills, A., & Ninness, B. (2011) · Automatica · doi:10.1016/j.automatica.2010.10.013 · Cited by 563
Self-citationConvergence analysis of parametric identification methods
Ljung, L. (1978) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1978.1101840 · Cited by 452
Self-citationHinging hyperplanes for regression, classification, and function approximation
Breiman, L. (1993) · IEEE Transactions on Information Theory · doi:10.1109/18.256506 · Cited by 445
Identification of systems containing linear dynamic and static nonlinear elements
Billings, S. A., & Fakhouri, S. Y. (1982) · Automatica · doi:10.1016/0005-1098(82)90022-x · Cited by 438
A blind approach to the Hammerstein–Wiener model identification
Bai, E.-W. (2002) · Automatica · doi:10.1016/s0005-1098(01)00292-8 · Cited by 298
Identifying MIMO Wiener systems using subspace model identification methods
Westwick, D. T., & Verhaegen, M. (1996) · Signal Processing · doi:10.1016/0165-1684(96)00056-4 · Cited by 288
Robust maximum-likelihood estimation of multivariable dynamic systems
Gibson, S., & Ninness, B. (2005) · Automatica · doi:10.1016/j.automatica.2005.05.008 · Cited by 266
Self-citationThe EM Algorithm and Extensions.
Gentle, J. E., McLachlan, G. J., & Krishnan, T. (1998) · Biometrics · doi:10.2307/2534032 · Cited by 242
Linear Stochastic Systems: A Geometric Approach to Modeling, Estimation and Identification
Lindquist, A., & Picci, G. (2015) · Series in Contemporary Mathematics · doi:10.1007/978-3-662-45750-4 · Cited by 228
Maximum likelihood identification of Wiener models
Hagenblad, A., Ljung, L., & Wills, A. (2008) · Automatica · doi:10.1016/j.automatica.2008.02.016 · Cited by 190
Self-citationLimit theorems for weighted samples with applications to sequential Monte Carlo methods
Douc, R., & Moulines, É. (2008) · The Annals of Statistics · doi:10.1214/07-aos514 · Cited by 153
A Basic Convergence Result for Particle Filtering
Hu, X., Schön, T. B., & Lennart Ljung, A. (2008) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2007.911295 · Cited by 145
Self-citationFast approximate identification of nonlinear systems
Schoukens, J., Nemeth, J. G., Crama, P., et al. (2003) · Automatica · doi:10.1016/s0005-1098(03)00083-9 · Cited by 110
Understanding Human Relations (Kinship Systems)
Dousset, L. (2011) · Oxford University Press eBooks · doi:10.1093/oxfordhb/9780199571888.013.0010 · Cited by 99
Wiener System Identification Using the Maximum Likelihood Method
Wills, A., & Lennart Ljung, A. (2010) · Lecture notes in control and information sciences · doi:10.1007/978-1-84996-513-2_7 · Cited by 24
Self-citationBlind Identification of Wiener Models*
Wills, A., Schön, T. B., Lennart Ljung, A., & Ninness, B. M. (2011) · IFAC Proceedings Volumes · doi:10.3182/20110828-6-it-1002.02610 · Cited by 20
Self-citation
Cited by
Allafi, W., Zajic, I., Uddin, K., & Burnham, K. J. (2017) · IET Control Theory & Applications · doi:10.1049/iet-cta.2017.0284 · Cited by 36
Paladino, O., Neviani, M., Ciancio, D., & De Francesco, M. (2024) · Biomass Conversion and Biorefinery · doi:10.1007/s13399-022-03634-3 · Cited by 7
Metadata
- Authors
- Wills, A., Schön, T. B., Ljung, L., & Ninness, B.
- Venue
- Automatica
- Publisher
- Elsevier BV
- Published
- 2013-01
- Volume
- 49
- Issue
- 1
- Pages
- 70-81
- ISSN
- 0005-1098 (ISSN-L)
- OpenAlex
- W2009061689
- Cited by
- 295
- References
- 31
- FWCI
- 19.94
- Type
- journal article
- Language
- en
- Open access
- green
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