×

Nonparametric algorithm for input signals identification in static distributed-parameter systems. (English) Zbl 0542.93019


MSC:

93B40 Computational methods in systems theory (MSC2010)
65D10 Numerical smoothing, curve fitting
93B30 System identification
35R25 Ill-posed problems for PDEs
35R30 Inverse problems for PDEs
47A70 (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces

Citations:

Zbl 0471.93065
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Angel, E.: Inverse boundary-value problems: elliptic equation. J. math. Anal. appl. 30, 86-98 (1970) · Zbl 0192.45201
[2] Balakrishnan, A. V.: Applied functional analysis. (1976) · Zbl 0333.93051
[3] Balakrishnan, A. V.: Identification-inverse problems for partial differential equations: A stochastic formulation. Proceedings of IFIP technical conference on optimization techniques (1975) · Zbl 0313.93025
[4] Banks, H. I.; Kunisch, K.: An approximation theory for nonlinear partial differential equations with applications to identification and control. SIAM J. Control optim. 20, No. 6, 815-850 (1982) · Zbl 0503.93016
[5] Chavent, G.: Identification of functional parameters in partial differential equations. Proceedings JACC, 31-49 (1974) · Zbl 0331.93068
[6] Collins, P. L.; Khatri, H. C.: Identification of distributedparameter systems using finite differences. ASME trans. J. basic engrg., 239-245 (June 1969)
[7] Kubrusly, C. S.: Distributed parameter system identification. A survey. Internat. J. Control 26, No. 4, 509-535 (1977) · Zbl 0405.93012
[8] Krzyzak, A.; Pawlak, M.: Estimation of a multivariate density by orthogonal series. Probability and statistical inference (1982) · Zbl 0492.62043
[9] Lions, J. L.: Contrôle optimal de systèmes gouvernés par des equations aux derivées partielles. (1968) · Zbl 0179.41801
[10] Marchuk, G. I.: Perturbation theory and the statement of inverse problems. Lecture notes in computer sci. 3 (1973) · Zbl 0288.65033
[11] Nayfeh, A. H.: Perturbation methods. (1973) · Zbl 0265.35002
[12] Polis, M. P.; Goodson, R. E.: Parameter identification in distributed systems. Proc. IEEE 64, 45-61 (1976)
[13] Rutkowski, L.: On system identification by nonparametric function Fitting. IEEE trans. Automat. control 27, 225-227 (1982) · Zbl 0471.93065
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.