Geodesic
Asymptotic solution method for the control of the minimal force for a linear singularly perturbed system
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 12, pp. 2115-2125 
A. I. Kalinin. Asymptotic solution method for the control of the minimal force for a linear singularly perturbed system. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 12, pp. 2115-2125. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_12_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The optimization of a transient process in a linear singularly perturbed system is considered. The goal is to find a (multidimensional) control of minimal intensity. An algorithm for constructing asymptotic approximations to the solution of the problem is proposed. The main advantage of the algorithm is that the original problem decomposes into optimal control problems of lower dimension.

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