Geodesic
Optimal boundary control by displacement at one end of a~string under a~given elastic force at the other end
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 2, pp. 151-158

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

The problem of optimal boundary control by displacement at one end of a string in the presence of a specified force mode at the other end is studied in the sense of a generalized solution of the corresponding mixed initial- boundary value problem from a Sobolev space. The problem of choosing an optimal boundary control from the infinite number of admissible controls is solved. A generalized solution of the mixed initial-boundary value problem is constructed explicitly and the uniqueness of the solution is proved.
Keywords: optimal control, boundary control, hyperbolic equations, wave equation. 
@article{TIMM_2011_17_2_a13,
     author = {E. I. Moiseev and A. A. Kholomeeva},
     title = {Optimal boundary control by displacement at one end of a~string under a~given elastic force at the other end},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {151--158},
     publisher = {mathdoc},
     volume = {17},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2011_17_2_a13/}
}
TY  - JOUR
AU  - E. I. Moiseev
AU  - A. A. Kholomeeva
TI  - Optimal boundary control by displacement at one end of a~string under a~given elastic force at the other end
JO  - Trudy Instituta matematiki i mehaniki
PY  - 2011
SP  - 151
EP  - 158
VL  - 17
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TIMM_2011_17_2_a13/
LA  - ru
ID  - TIMM_2011_17_2_a13
ER  - 
%0 Journal Article
%A E. I. Moiseev
%A A. A. Kholomeeva
%T Optimal boundary control by displacement at one end of a~string under a~given elastic force at the other end
%J Trudy Instituta matematiki i mehaniki
%D 2011
%P 151-158
%V 17
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TIMM_2011_17_2_a13/
%G ru
%F TIMM_2011_17_2_a13
E. I. Moiseev; A. A. Kholomeeva. Optimal boundary control by displacement at one end of a~string under a~given elastic force at the other end. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 2, pp. 151-158. http://geodesic.mathdoc.fr/item/TIMM_2011_17_2_a13/