Roles for deterministic bounding in environmental modelling

Ecological Modelling

Volumn 86, Issue 2-3, 1996, Pages 157-161

  Norton, J P ^a  

^a UNIVERSITY OF BIRMINGHAM   (United Kingdom)

Author keywords

Bounding; Parameter estimation; Uncertainty analysis

Indexed keywords

BOUNDING; DETERMINISTIC BOUNDING; ENVIRONMENTAL MODELLING; PARAMETER ESTIMATION; UNCERTAINTY ANALYSIS;

EID: 0030455504     PISSN: 03043800     EISSN: None     Source Type: Journal    
DOI: 10.1016/0304-3800(95)00045-3     Document Type: Article

References (25)

1. Belforte, G., Bona, B. and Cerone, V., 1990. Parameter estimation algorithms for a set-membership description of uncertainty. Automatica, 26: 887-898.
2. Broman, V. and Shensa, M.J., 1990. A compact algorithm for the intersection and approximation of n-dimensional polytopes. Math. Comput. Simulation, 32: 469-480.
3. Chernous'ko, F.L., 1980. Optimal guaranteed estimates of indeterminacies with the aid of ellipsoids I. Eng. Cybernetics, 18: 1-9.
4. Fogel, E. and Huang, Y.F., 1982. On the value of information in system identification-bounded noise case. Automatica, 18: 229-238.
5. Jaulin, L. and Walter, E., 1993. Guaranteed nonlinear parameter estimation from bounded-error data via interval analysis. Math. Comput. Simulation, 35: 123-137.
6. Keesman, K., 1990. Membership set estimation using random scanning and principal component analysis. Math. Comput. Simulation, 32: 535-543.
7. Milanese, M. and Belforte, G., 1982. Estimation theory and uncertainty intervals evaluation in the presence of unknown but bounded errors: linear families of models and estimators. IEEE Trans. Autom. Control, 27: 408-414.
8. Milanese, M. and Vicino, A., 1991a. Optimal estimation theory for dynamic systems with set membership uncertainty: an overview. Automatica, 27: 997-1009.
9. Milanese, M. and Vicino, A., 1991b. Estimation theory for nonlinear models and set membership uncertainty. Automatica, 27: 403-408.
10. Mo, S.H., 1989. Computation of bounded-parameter models of dynamical systems from bounded-noise records. PhD thesis, School of Electronic and Electrical Eng., University of Birmingham.
11. Mo, S.H. and Norton, J.P., 1990. Fast and robust algorithm to compute exact polytope parameter bounds. Math. Comput. Simulation, 32: 481-493.
12. Norton, J.P., 1986. Problems in identifying the dynamics of biological systems from very short records. Proc. 25th IEEE Conf. on Decision and Control, Athens, pp. 286-290.
13. Norton, J.P., 1987a. Identification and application of bounded-parameter models. Automatica, 23: 497-507.
14. Norton, J.P., 1987b. Identification of parameter bounds for ARMAX models from records with bounded noise. Int. J. Control, 45: 375-390.
15. Norton, J.P., 1994. Distributional bounding models of uncertainty. Prepr. SYSID'94, 10th IFAC Symp. on System Identification, Copenhagen, 2: 91-95.
16. Norton, J.P. and Veres, S.M., 1991. Identification of nonlinear state-space models by deterministic search. Prepr. 9th IFAC/IFORS Symp. on Identification and System Parameter Estimation, Budapest, pp. 363-368.
17. Norton, J.P. and Veres, S.M., 1993. Outliers in bound-based state estimation and identification. Proc. IEEE Int. Symp. on Circuits and Systems, Chicago, pp. 790-793.
18. Piet-Lahanier, H. and Walter, E., 1990. Characterisation of non-connected parameter uncertainty regions. Math. Comput. Simulation, 32: 553-560.
19. Schweppe, F.C., 1968. Recursive state estimation: unknown but bounded errors and system inputs. IEEE Trans. Autom. Control, AC-13: 22-28.
20. Veres, S.M. and Norton, J.P., 1991a. Parameter-bounding algorithms for linear errors in variables models. Prep. 9th IFAC/IFORS Symp. on Identification and System Parameter Estimation, Budapest, pp. 1038-1043.
21. Veres, S.M. and Norton, J.P., 1991b. Structure selection for bounded-parameter models: consistency conditions and selection criterion. IEEE Trans. Autom. Control, 36: 474-481.
22. Vicino, A. and Zappa, G., 1992. Sequential approximation of uncertainty sets via parallelotopes. In: R.S. Smith and M. Dahleh (Editors), The Modeling of Uncertainty in Control Systems. Proceedings of the 1992 Santa Barbara Workshop, LNCIS 192. Springer-Verlag, Heidelberg, pp. 171-180.
23. Walter, E. and Piet-Lahanier, H., 1989. Exact recursive polyhedral description of the feasible parameter set for bounded-error models. IEEE Trans. Autom. Control, 34: 911-915.
24. Walter, E. and Piet-Lahanier, H., 1990. Estimation of parameter bounds from bounded-error data: a survey. Math. Comput. Simulation, 32: 449-468.
25. Walter, E. and Piet-Lahanier, H., 1993. Guaranteed linear and nonlinear parameter estimation from bounded-error data: a survey. Proc. IEEE Int. Symp. on Circuits and Systems, Chicago, pp. 774-777.