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 
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/
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     title = {Minimization of a convex functional in a linear system of delay differential equations with fixed ends},
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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.

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