Abstract
An economical technique for tracing the boundary of a two-dimensional cross section of the feasible parameter set for a model with bounded output error is described. It allows exploration of a boundary which is not piecewise linear and may not be convex. First a point on the boundary is found, then a line search is executed, adapting to local behavior of the boundary. Resolution may be traded against computational speed by choice of the search parameters.
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References
J. P. Norton, Biomed. Meas. Inf. Control. 2, 101 (1987).
K. Fedra, G. Van Straten, and M. B. Beck, Eco. Model. 13, 87 (1981).
M. K. Smit, Measurement 1, 181 (1983).
M. K. Smit and Ch. Van Vliet, Measurement 1, 209 (1983).
H. Lahanier, E. Walter, and R. Gomeni, J. Pharmacokin. 15, 203 (1987).
H. Piet-Lahanier and E. Walter, Math. Comput. Simul. 32, 553 (1990).
M. Milanese and A. Vicino, Automatica 27, 404 (1991).
L. Jaulin and E. Walter, Automatica 29, 1053 (1993).
L. Jaulin and E. Walter, Math. Comput. Simul. 35, 123 (1993).
S. M. Veres and J. P. Norton, in: Proceedings of the 9th IASTED International Conference on Modelling, Identification & Control, Innsbruck, Austria, pp. 367-370 (1990).
H. Piet-Lahanier, Estimation de Paramètres pour des Modèles à Erreur Bornée, Thèse de Docteur en Sciences Univ. de Paris-Sud, Centre d’Orsay, Paris (1987).
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© 1996 Springer Science+Business Media New York
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Norton, J.P., Veres, S.M. (1996). Identification of Nonlinear State-Space Models by Deterministic Search. In: Milanese, M., Norton, J., Piet-Lahanier, H., Walter, É. (eds) Bounding Approaches to System Identification. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9545-5_20
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DOI: https://doi.org/10.1007/978-1-4757-9545-5_20
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4757-9547-9
Online ISBN: 978-1-4757-9545-5
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