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Input-output parametric models for non-linear systems Part II: stochastic non-linear systems
Abstract
In the first part of this paper (Leontaritis and Billings 1984) recursive input-output models for deterministic non-linear multivariate discrete-time systems were derived and sufficient conditions for their existence were defined. In this the second part, the non-linear model is compared with other system representations, several examples are introduced and the results are extended to create prediction error input-output models for multivariable non-linear stochastic systems. These latter models are a generalization of the ARMAX models for linear systems and are referred to as NARMAX or non-linear autoregressive moving average models with exogenous inputs.
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Cites
Nonlinear controllability and observability
Hermann, R., & Krener, A. (1977) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1977.1101601 · Cited by 2,374
Cited by
Levin, A. U., & Narendra, K. S. (1996) · IEEE Transactions on Neural Networks · doi:10.1109/72.478390 · Cited by 441
(1997) · Elsevier eBooks · doi:10.1016/b978-0-12-526430-3.x5000-4 · Cited by 290
Applications of Digital Signal Processing to Audio and Acoustics
(2002) · The International Series in Engineering and Computer Science · doi:10.1007/b117882 · Cited by 278
Peng, Z. K., Lang, Z. Q., Wolters, C., Billings, S. A., & Worden, K. (2011) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2010.09.014 · Cited by 111
Self-citationRobust learning-based MPC for nonlinear constrained systems
Manzano, J. M., Limon, D., Muñoz de la Peña, D., & Calliess, J.-P. (2020) · Automatica · doi:10.1016/j.automatica.2020.108948 · Cited by 87
Metadata
- Authors
- LEONTARITIS, I. J., & BILLINGS, S. A.
- Venue
- International Journal of Control
- Publisher
- Informa UK Limited
- Published
- 1985-02
- Volume
- 41
- Issue
- 2
- Pages
- 329-344
- ISSN
- 0020-7179 (ISSN-L)
- 1366-5820
- OpenAlex
- W1975424366
- Cited by
- 1,065
- References
- 1
- FWCI
- 8.10
- Type
- journal article
- Language
- en
- Open access
- closed
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- LEONTARITIS, I. J., & BILLINGS, S. A. (1985). Input-output parametric models for non-linear systems Part II: stochastic non-linear systems. International Journal of Control. https://doi.org/10.1080/0020718508961130
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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