Abstract
The Bayesian method of statistical analysis has been applied to the parameter identification problem. A method is presented to identify parameters of dynamic models with the Bayes estimators of measurement frequencies. This is based on the solution of an inverse generalized eigenvalue problem. The stochastic nature of test data is considered and a normal distribution is used for the measurement frequencies. An additional feature is that the engineer's confidence in the measurement frequencies is quantified and incorporated into the identification procedure. A numerical example demonstrates the efficiency of the method.
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Communicated by Ye Qingkai
Biography: Li Shu (1965-)
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Shu, L., Jiashou, Z. & Qingwen, R. Parameter identification of dynamic models using a Bayes approach. Appl Math Mech 21, 447–454 (2000). https://doi.org/10.1007/BF02463767
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DOI: https://doi.org/10.1007/BF02463767
Key words
- parameter identification
- dynamic models
- Bayes estimators
- inverse eigenvalue problem
- pnor distribution
- postenor distribution