Geodesic
Minimization of a convex functional in a linear system of delay differential equations with fixed ends
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 6, pp. 867-877

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

A numerical method is proposed for solving the problem of moving a dynamic object described by a system of linear differential-difference equations to the origin with the minimization of a nonnegative convex functional. The method is proved to converge globally to an $\varepsilon$-optimal solution. The $\varepsilon$-optimal solution is understood as an extremal control $u(t)$, $t\in[0,T]$, that moves the system to the $\varepsilon$-neighborhood of the origin. 
@article{ZVMMF_2013_53_6_a3,
     author = {G. V. Shevchenko},
     title = {Minimization of a convex functional in a linear system of delay differential equations with fixed ends},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {867--877},
     publisher = {mathdoc},
     volume = {53},
     number = {6},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_6_a3/}
}
TY  - JOUR
AU  - G. V. Shevchenko
TI  - Minimization of a convex functional in a linear system of delay differential equations with fixed ends
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2013
SP  - 867
EP  - 877
VL  - 53
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_6_a3/
LA  - ru
ID  - ZVMMF_2013_53_6_a3
ER  - 
%0 Journal Article
%A G. V. Shevchenko
%T Minimization of a convex functional in a linear system of delay differential equations with fixed ends
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2013
%P 867-877
%V 53
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_6_a3/
%G ru
%F ZVMMF_2013_53_6_a3
G. V. Shevchenko. Minimization of a convex functional in a linear system of delay differential equations with fixed ends. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 6, pp. 867-877. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_6_a3/