Geodesic
Steplike contrast structure in an elementary optimal control problem
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 8, pp. 1381-1392 
Ni Min' Kan'; M. G. Dmitriev. Steplike contrast structure in an elementary optimal control problem. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 8, pp. 1381-1392. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_8_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

For an elementary nonlinear optimal control problem with a scalar differential constraint and with a small parameter multiplying the derivative but without any constraints on the control, the possibility of emerging fast internal phase transitions in the optimal trajectory is shown as based on results concerning contrast structures in the theory of singularly perturbed boundary value problems.

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