Abstract
System identification is concerned with the estimation of a system on the basis of observed data. This involves specification of the model structure, estimation of the unknown model parameters, and validation of the resulting model. Least squares and maximum likelihood methods are discussed, for stationary processes (without inputs) and for input-output systems.
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References
G.H. Golub, C.F. Van Loan, Matrix Computations, 3rd edn. Johns Hopkins Studies in the Mathematical Sciences (Johns Hopkins University Press, Baltimore, MD, 1996)
G. Goodwin, R.L. Payne, Dynamic System Identification. Experiment Design and Data Analysis (Academic Press, New York, London, 1977)
E.J. Hannan, M. Deistler, The Statistical Theory of Linear Systems (Wiley, New York, 1988)
M. Kendall, A. Stuart, The Sdvanced Theory of Statistics. Vol. 2: Inference and Relationship, 2nd edn. (Hafner Publishing, New York, 1967)
L. Ljung, System identification: design variables and the design objective, in Modelling, Robustness and Sensitivity Reduction in Control Systems (Groningen, 1986). NATO Adv. Sci. Inst. Ser. F Comput. Systems Sci., vol. 34 (Springer, Berlin, 1987), pp. 251–270
H. LĂĽtkepohl, Introduction to Multiple Time Series Analysis, 2nd edn. (Springer, Berlin, 1993)
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Heij, C., C.M. Ran, A., van Schagen, F. (2021). System Identification. In: Introduction to Mathematical Systems Theory. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-59654-5_9
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DOI: https://doi.org/10.1007/978-3-030-59654-5_9
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Publisher Name: Birkhäuser, Cham
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