Geodesic
Optimal control of one-dimensional heating with phase restrictions
Matematičeskoe modelirovanie, Tome 8 (1996) no. 3, pp. 91-110.

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

The time-optimal control problem of heating of one-dimensional bodies (plates, cylinders and balls) with restrictions on surface temperature and compressing and expanding thermotensions is considered. The control througth boundary conditions is fulfilled. The approximate solution method, based on approximation of input problem by finite-dimensional problem, is proposed. The numerical algorithm of solution of finite-dimensional problem of Neustadt–Eaton type is proposed. The convergence of this algorithm is proved. Estimates of the rate of convergence for the square functional and estimates of errors in realization of phase restrictions are obtained. The results of calculating experiments are given. 
@article{MM_1996_8_3_a6,
     author = {N. D. Morozkin},
     title = {Optimal control of one-dimensional heating with phase restrictions},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {91--110},
     publisher = {mathdoc},
     volume = {8},
     number = {3},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1996_8_3_a6/}
}
TY  - JOUR
AU  - N. D. Morozkin
TI  - Optimal control of one-dimensional heating with phase restrictions
JO  - Matematičeskoe modelirovanie
PY  - 1996
SP  - 91
EP  - 110
VL  - 8
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_1996_8_3_a6/
LA  - ru
ID  - MM_1996_8_3_a6
ER  - 
%0 Journal Article
%A N. D. Morozkin
%T Optimal control of one-dimensional heating with phase restrictions
%J Matematičeskoe modelirovanie
%D 1996
%P 91-110
%V 8
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_1996_8_3_a6/
%G ru
%F MM_1996_8_3_a6
N. D. Morozkin. Optimal control of one-dimensional heating with phase restrictions. Matematičeskoe modelirovanie, Tome 8 (1996) no. 3, pp. 91-110. http://geodesic.mathdoc.fr/item/MM_1996_8_3_a6/