Parameter Estimation and Model Discrepancy in Control Systems with Delays
Tài liệu tham khảo
Arendt, 2012, Quantification of model uncertainty: Calibration, model discrepancy, and identifiability, Journal of Mechanical Design, 134, 1009081, 10.1115/1.4007390
Arendt, 2012, Improving identifiability in model calibration using multiple responses, Journal of Mechanical Design, 134, 1009091, 10.1115/1.4007573
Banks, 1979, Spline approximations for functional differential equations, Journal of Differential Equations, 34, 496, 10.1016/0022-0396(79)90033-0
Banks, 1981, Parameter estimation and identification for systems with delays, SIAM Journal on Control and Optimization, 19, 791, 10.1137/0319051
Bayarri, 2007, A framework for validation of computer models, Technometrics, 49, 138, 10.1198/004017007000000092
Bayarri, 2009, Predicting vehicle crashworthiness: Validation of computer models for functional and hierarchical data, Journal of the American Statistical Association, 104, 929, 10.1198/jasa.2009.ap06623
Bellman, 1963
Bensoussan, 1992, Representation and Control of Infinite Dimensional Systems: Volume I
Bensoussan, 1992, Representation and Control of Infinite Dimensional Systems: Volume II
Brynjarsdottir, J. and O'Hagan, A. (2013) Learning about physical parameters: The importance of model discrepancy. preprint.
Burns, J.A. and Cliff, E.M. (1981). Reduced approximations in parameter identification of hereditary systems. In Proceedings 10th IFIP Conference on System Modeling and Optimization, 241–249. Springer-Verlag.
Cliff, E. and Burns, J. (1982) Reduced approximations in parameter identification of hereditary systems. System Modeling and Optimization, 241-249.
Conti, 2010, Bayesian emulation of complex multi-output and dynamic computer models, Journal of statistical planning and inference, 140, 640, 10.1016/j.jspi.2009.08.006
Hale, 1971
Hale, 1993, 99
Kennedy, 2001, Bayesian calibration of computer models, Journal of the Royal Statistical Society B, 63, 425, 10.1111/1467-9868.00294
Nott, D.J., Marshall, L., Fielding, M., and Liong, S.Y. (2013). Mixtures of experts for understanding model discrepancy in dynamic computer models. Computational Statistics & Data Analysis, in press.
O'Hagan, 2006, Bayesian analysis of computer code outputs: a tutorial, Reliability Engineering & System Safety, 91, 1290, 10.1016/j.ress.2005.11.025
Pederson, 1990, Estimating model discrepancy, Technometrics, 32, 305, 10.1080/00401706.1990.10484683
Smith, 2013