Geodesic
On a class of optimal control problems with distributed and lumped parameters
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 3, pp. 409-420

Voir la notice de l'article provenant de la source Math-Net.Ru

The optimal control of moving sources governed by a parabolic equation and a system of ordinary differential equations with initial and boundary conditions is considered. For this problem, an existence and uniqueness theorem is proved, sufficient conditions for the Fréchet differentiability of the cost functional are established, an expression for its gradient is derived, and necessary optimality conditions in the form of pointwise and integral maximum principles are obtained. 
@article{ZVMMF_2016_56_3_a7,
     author = {R. A. Teymurov},
     title = {On a class of optimal control problems with distributed and lumped parameters},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {409--420},
     publisher = {mathdoc},
     volume = {56},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_3_a7/}
}
TY  - JOUR
AU  - R. A. Teymurov
TI  - On a class of optimal control problems with distributed and lumped parameters
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2016
SP  - 409
EP  - 420
VL  - 56
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_3_a7/
LA  - ru
ID  - ZVMMF_2016_56_3_a7
ER  - 
%0 Journal Article
%A R. A. Teymurov
%T On a class of optimal control problems with distributed and lumped parameters
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2016
%P 409-420
%V 56
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_3_a7/
%G ru
%F ZVMMF_2016_56_3_a7
R. A. Teymurov. On a class of optimal control problems with distributed and lumped parameters. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 3, pp. 409-420. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_3_a7/