Geodesic
On the optimal control of vibrations of right-angled plate
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (1991), pp. 40-44 
L. S. Sahakian. On the optimal control of vibrations of right-angled plate. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (1991), pp. 40-44. http://geodesic.mathdoc.fr/item/UZERU_1991_1_a5/
@article{UZERU_1991_1_a5,
     author = {L. S. Sahakian},
     title = {On the optimal control of vibrations of right-angled plate},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
     pages = {40--44},
     year = {1991},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZERU_1991_1_a5/}
}
TY  - JOUR
AU  - L. S. Sahakian
TI  - On the optimal control of vibrations of right-angled plate
JO  - Proceedings of the Yerevan State University. Physical and mathematical sciences
PY  - 1991
SP  - 40
EP  - 44
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/UZERU_1991_1_a5/
LA  - ru
ID  - UZERU_1991_1_a5
ER  - 
%0 Journal Article
%A L. S. Sahakian
%T On the optimal control of vibrations of right-angled plate
%J Proceedings of the Yerevan State University. Physical and mathematical sciences
%D 1991
%P 40-44
%N 1
%U http://geodesic.mathdoc.fr/item/UZERU_1991_1_a5/
%G ru
%F UZERU_1991_1_a5

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

The problem of optimal control of the vibrations of freely 1eaned elastic orthotropic right-angled plate is studied by means of outer forces, spread along its surface. The problem is solved by means of Furye’s method and is brought to the problem of moments in space $L_2(O, T)$. The form of control influence is determined. Sufficient conditions of even meeting of the studied row are given.

[1] S. G. Lekhnitskii, Anizotropnye plastinki, Gostekhizdat, M., 1957 | MR

[2] N. N. Krasovskii, “Teoriya optimalnykh upravlyaemykh sistem”, Mekhan. v SSSR za 50 let, Nauka, M., 1968 | Zbl

[3] A. N. Kolmogorov, S. P. Fomin, Elementy teorii funktsii i funktsionalnogo naliza, Nauka, M., 1972, 496 pp. | MR