Unidentifiable compartmental models: what to do?

作者: Eric Walter , Yves Lecourtier

DOI: 10.1016/0025-5564(81)90025-0

关键词: Canonical formSimple (abstract algebra)Representation (mathematics)Applied mathematicsDiscrete mathematicsAbstract structureMathematicsKalman filterSet (abstract data type)Decomposition (computer science)Connection (mathematics)

摘要: Structures are unidentifiable if there exist several parameter values which lead to the same input-output relations. This paper presents a method, called exhaustive modeling, to obtain …

参考文章(16)
C. Cobelli, A. Lepschy, G. Romanin-Jacur, Comments on "On the relationships between structural identifiability and the controllability, observability properties" IEEE Transactions on Automatic Control. ,vol. 23, pp. 965- 966 ,(1978) , 10.1109/TAC.1978.1101839
R. E. Kalman, Mathematical Description of Linear Dynamical Systems Journal of the Society for Industrial and Applied Mathematics Series A Control. ,vol. 1, pp. 152- 192 ,(1963) , 10.1137/0301010
C. Cobelli, A. Lepschy, G.Romanin Jacur, Identifiability of compartmental systems and related structural properties Mathematical Biosciences. ,vol. 44, pp. 1- 18 ,(1979) , 10.1016/0025-5564(79)90026-9
Mones Berman, Robert Schoenfeld, Invariants in Experimental Data on Linear Kinetics and the Formulation of Models Journal of Applied Physics. ,vol. 27, pp. 1361- 1370 ,(1956) , 10.1063/1.1722264
M. Grewal, K. Glover, Identifiability of linear and nonlinear dynamical systems IEEE Transactions on Automatic Control. ,vol. 21, pp. 833- 837 ,(1976) , 10.1109/TAC.1976.1101375
G. Golub, W. Kahan, Calculating the Singular Values and Pseudo-Inverse of a Matrix Journal of The Society for Industrial and Applied Mathematics, Series B: Numerical Analysis. ,vol. 2, pp. 205- 224 ,(1965) , 10.1137/0702016
E. Walter, G. Le Cardinal, P. Bertrand, On the identifiability of linear state systems Bellman Prize in Mathematical Biosciences. ,vol. 31, pp. 131- 141 ,(1976) , 10.1016/0025-5564(76)90045-6
Jacques Delforge, New results on the problem of identifiability of a linear system Mathematical Biosciences. ,vol. 52, pp. 73- 96 ,(1980) , 10.1016/0025-5564(80)90005-X
R. Bellman, K.J. Åström, On structural identifiability Mathematical Biosciences. ,vol. 7, pp. 329- 339 ,(1970) , 10.1016/0025-5564(70)90132-X