Geodesic
Steplike contrast structure in an elementary optimal control problem
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 8, pp. 1381-1392

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. 
@article{ZVMMF_2010_50_8_a3,
     author = {Ni Min' Kan' and M. G. Dmitriev},
     title = {Steplike contrast structure in an elementary optimal control problem},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1381--1392},
     publisher = {mathdoc},
     volume = {50},
     number = {8},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_8_a3/}
}
TY  - JOUR
AU  - Ni Min' Kan'
AU  - M. G. Dmitriev
TI  - Steplike contrast structure in an elementary optimal control problem
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2010
SP  - 1381
EP  - 1392
VL  - 50
IS  - 8
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_8_a3/
LA  - ru
ID  - ZVMMF_2010_50_8_a3
ER  - 
%0 Journal Article
%A Ni Min' Kan'
%A M. G. Dmitriev
%T Steplike contrast structure in an elementary optimal control problem
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2010
%P 1381-1392
%V 50
%N 8
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_8_a3/
%G ru
%F ZVMMF_2010_50_8_a3
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/