Geodesic
Numerical solution of nonlinear inverse coefficient problems for ordinary differential equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 5, pp. 858-871 
K. R. Aǐda-zade; S. Z. Kuliev. Numerical solution of nonlinear inverse coefficient problems for ordinary differential equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 5, pp. 858-871. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_5_a8/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Parametric identification for a class of nonlinear objects with lumped parameters described by systems of ordinary differential equations is studied. The problem is to recover the coefficients of a dynamical system depending on the phase state. For that purpose, the phase space is subdivided into a finite set of subsets or zones in which the coefficients are assumed to be constant or linear functions of state. Once the coefficients in such a form are obtained, interpolation and approximation can be used to represent the coefficients as functions of the phase variables.

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