Geodesic
Asymptotic method for solving the time-optimal control problem for a nonlinear singularly perturbed system
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 11, pp. 1942-1951 
Ya. O. Grudo; A. I. Kalinin. Asymptotic method for solving the time-optimal control problem for a nonlinear singularly perturbed system. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 11, pp. 1942-1951. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_11_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The time-optimal control problem for a nonlinear singularly perturbed system with multidimensional controls bounded in the Euclidean norm is considered. An algorithm for constructing asymptotic approximations to its solution is proposed. The main advantage of the algorithm is that the original optimal control problem decomposes into two unperturbed problems of lower dimensions.

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