Proceedings of the Centre for Mathematics and its Applications

Towards the identification of ordinary differential equations from measurements

K.-H. Hoffmann J Sprekels

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Abstract

The identification problem of estimating certain functions in a system of linear ordinary differential equations from measured data of its state is considered. The approach consists in an imbedding of the problem into a family of parameter-dependent problems which can be solved at least numerically. The corresponding solutions are proved to converge to the unknown functions as the parameters tend to infinity. Stability results with respect to disturbances in the measmements and the initial data are developed as welL The method is applied to detennine mass exchange rates in a compartmental system of pharmaco--kinetic models.

Article information

Source
Special Program on Inverse Problems. R.S. Anderssen and G.N. Newsam, eds. Proceedings of the Centre for Mathematical Analysis, v. 17. (Canberra AUS: Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, 1988), 60-79

Dates
First available in Project Euclid: 18 November 2014

Permanent link to this document
https://projecteuclid.org/ euclid.pcma/1416336180

Mathematical Reviews number (MathSciNet)
MR1000356

Zentralblatt MATH identifier
0665.34013

Citation

J Sprekels, K.-H. Hoffmann. Towards the identification of ordinary differential equations from measurements. Special Program on Inverse Problems, 60--79, Centre for Mathematical Analysis, The Australian National University, Canberra AUS, 1988. https://projecteuclid.org/euclid.pcma/1416336180


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