Abstract
Let us first consider the problem of the identification of ai and λi from:
where x(t) is measured at t = tk, k = 1,.., m. Suppose, also, that the experimental error Δx(tk) on each measure x(tk) is known. More precisely, it is sufficient to have a bound for this error. It would be interesting to calculate the error on a. and λi as a function of the error Δx(tk) of the experimental data. To obtain this relation, let us differentiate (11.1) with respect to a. and λi. The following equation is obtained:
Substituting (11.2) for t = tk leads to the linear algebraic system:
where k = 1,.., m, which includes 2n unknowns (the Δλi and the Δλi) and m equations.
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© 1986 D. Reidel Publishing Company, Dordrecht, Holland
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Cherruault, Y. (1986). Errors in Modelling. In: Mathematical Modelling in Biomedicine. Mathematics and Its Applications, vol 23. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5492-2_12
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DOI: https://doi.org/10.1007/978-94-009-5492-2_12
Publisher Name: Springer, Dordrecht
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