Representations of non-linear systems: the NARMAX model
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Publication:3829400
DOI10.1080/00207178908559683zbMath0674.93009OpenAlexW2028847290MaRDI QIDQ3829400
Stephen A. Billings, Sheng Chen
Publication date: 1989
Published in: International Journal of Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207178908559683
Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Realizations from input-output data (93B15)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bilinear control processes. With applications to engineering, ecology, and medicine
- Non-linear systems: stability and rationality
- Least squares parameter estimation algorithms for non-linear systems
- Input-output parametric models for non-linear systems Part I: deterministic non-linear systems
- A prediction-error and stepwise-regression estimation algorithm for non-linear systems
- Prediction-error estimation algorithm for non-linear output-affine systems
- Orthogonal parameter estimation algorithm for non-linear stochastic systems
- Identification of non-linear output-affine systems using an orthogonal least-squares algorithm
- Identification of non-linear rational systems using a prediction-error estimation algorithm
- Nonlinear difference equations
- Realization theory of discrete-time nonlinear systems: Part I-The bounded case